id	sid	tid	token	lemma	pos
ijassa-886	1	1	adv	adv	PROPN
ijassa-886	1	2	syst	syst	PROPN
ijassa-886	1	3	sci	sci	PROPN
ijassa-886	1	4	appl	appl	PROPN
ijassa-886	1	5	2020	2020	NUM
ijassa-886	1	6	;	;	PUNCT
ijassa-886	1	7	02:71–81	02:71–81	NUM
ijassa-886	1	8	published	publish	VERB
ijassa-886	1	9	online	online	ADV
ijassa-886	1	10	at	at	ADP
ijassa-886	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADJ
ijassa-886	1	12	.	.	PUNCT
ijassa-886	2	1	comparison	comparison	NOUN
ijassa-886	2	2	of	of	ADP
ijassa-886	2	3	two	two	NUM
ijassa-886	2	4	dynamic	dynamic	ADJ
ijassa-886	2	5	models	model	NOUN
ijassa-886	2	6	of	of	ADP
ijassa-886	2	7	economic	economic	ADJ
ijassa-886	2	8	growth	growth	NOUN
ijassa-886	2	9	alexander	alexander	PROPN
ijassa-886	3	1	p.	p.	PROPN
ijassa-886	3	2	chernyaev1	chernyaev1	PROPN
ijassa-886	4	1	*	*	PUNCT
ijassa-886	4	2	1moscow	1moscow	NUM
ijassa-886	4	3	institute	institute	PROPN
ijassa-886	4	4	of	of	ADP
ijassa-886	4	5	physics	physics	PROPN
ijassa-886	4	6	and	and	CCONJ
ijassa-886	4	7	technology	technology	NOUN
ijassa-886	4	8	(	(	PUNCT
ijassa-886	4	9	state	state	NOUN
ijassa-886	4	10	university	university	NOUN
ijassa-886	4	11	)	)	PUNCT
ijassa-886	4	12	,	,	PUNCT
ijassa-886	4	13	dolgoprudnyi	dolgoprudnyi	PROPN
ijassa-886	4	14	,	,	PUNCT
ijassa-886	4	15	russia	russia	PROPN
ijassa-886	4	16	abstract	abstract	NOUN
ijassa-886	4	17	:	:	PUNCT
ijassa-886	4	18	two	two	NUM
ijassa-886	4	19	dynamic	dynamic	ADJ
ijassa-886	4	20	models	model	NOUN
ijassa-886	4	21	of	of	ADP
ijassa-886	4	22	economic	economic	ADJ
ijassa-886	4	23	growth	growth	NOUN
ijassa-886	4	24	with	with	ADP
ijassa-886	4	25	the	the	DET
ijassa-886	4	26	same	same	ADJ
ijassa-886	4	27	balance	balance	NOUN
ijassa-886	4	28	equation	equation	NOUN
ijassa-886	4	29	are	be	AUX
ijassa-886	4	30	considered	consider	VERB
ijassa-886	4	31	.	.	PUNCT
ijassa-886	5	1	first	first	ADV
ijassa-886	5	2	,	,	PUNCT
ijassa-886	5	3	we	we	PRON
ijassa-886	5	4	establish	establish	VERB
ijassa-886	5	5	the	the	DET
ijassa-886	5	6	solution	solution	NOUN
ijassa-886	5	7	of	of	ADP
ijassa-886	5	8	the	the	DET
ijassa-886	5	9	harrod	harrod	NOUN
ijassa-886	5	10	-	-	PUNCT
ijassa-886	5	11	domar	domar	NOUN
ijassa-886	5	12	model	model	NOUN
ijassa-886	5	13	with	with	ADP
ijassa-886	5	14	time	time	NOUN
ijassa-886	5	15	-	-	PUNCT
ijassa-886	5	16	dependent	dependent	ADJ
ijassa-886	5	17	coefficient	coefficient	NOUN
ijassa-886	5	18	of	of	ADP
ijassa-886	5	19	the	the	DET
ijassa-886	5	20	capital	capital	NOUN
ijassa-886	5	21	intensity	intensity	NOUN
ijassa-886	5	22	of	of	ADP
ijassa-886	5	23	income	income	NOUN
ijassa-886	5	24	growth	growth	NOUN
ijassa-886	5	25	.	.	PUNCT
ijassa-886	6	1	(	(	PUNCT
ijassa-886	6	2	previously	previously	ADV
ijassa-886	6	3	,	,	PUNCT
ijassa-886	6	4	the	the	DET
ijassa-886	6	5	only	only	ADJ
ijassa-886	6	6	constant	constant	ADJ
ijassa-886	6	7	coefficients	coefficient	NOUN
ijassa-886	6	8	were	be	AUX
ijassa-886	6	9	considered	consider	VERB
ijassa-886	6	10	.	.	PUNCT
ijassa-886	6	11	)	)	PUNCT
ijassa-886	7	1	second	second	ADV
ijassa-886	7	2	,	,	PUNCT
ijassa-886	7	3	we	we	PRON
ijassa-886	7	4	show	show	VERB
ijassa-886	7	5	that	that	SCONJ
ijassa-886	7	6	in	in	ADP
ijassa-886	7	7	the	the	DET
ijassa-886	7	8	solow	solow	PROPN
ijassa-886	7	9	model	model	NOUN
ijassa-886	7	10	with	with	ADP
ijassa-886	7	11	the	the	DET
ijassa-886	7	12	cobb	cobb	PROPN
ijassa-886	7	13	-	-	PUNCT
ijassa-886	7	14	douglas	douglas	PROPN
ijassa-886	7	15	production	production	NOUN
ijassa-886	7	16	function	function	NOUN
ijassa-886	7	17	,	,	PUNCT
ijassa-886	7	18	the	the	DET
ijassa-886	7	19	capital	capital	NOUN
ijassa-886	7	20	intensity	intensity	NOUN
ijassa-886	7	21	of	of	ADP
ijassa-886	7	22	income	income	NOUN
ijassa-886	7	23	growth	growth	NOUN
ijassa-886	7	24	depends	depend	VERB
ijassa-886	7	25	on	on	ADP
ijassa-886	7	26	time	time	NOUN
ijassa-886	7	27	.	.	PUNCT
ijassa-886	8	1	comparing	compare	VERB
ijassa-886	8	2	these	these	DET
ijassa-886	8	3	models	model	NOUN
ijassa-886	8	4	,	,	PUNCT
ijassa-886	8	5	we	we	PRON
ijassa-886	8	6	demonstrate	demonstrate	VERB
ijassa-886	8	7	the	the	DET
ijassa-886	8	8	effectiveness	effectiveness	NOUN
ijassa-886	8	9	of	of	ADP
ijassa-886	8	10	the	the	DET
ijassa-886	8	11	setting	set	VERB
ijassa-886	8	12	optimal	optimal	ADJ
ijassa-886	8	13	control	control	NOUN
ijassa-886	8	14	problems	problem	NOUN
ijassa-886	8	15	(	(	PUNCT
ijassa-886	8	16	maximization	maximization	NOUN
ijassa-886	8	17	of	of	ADP
ijassa-886	8	18	the	the	DET
ijassa-886	8	19	integral	integral	ADJ
ijassa-886	8	20	discounted	discount	VERB
ijassa-886	8	21	utility	utility	NOUN
ijassa-886	8	22	function	function	NOUN
ijassa-886	8	23	)	)	PUNCT
ijassa-886	8	24	in	in	ADP
ijassa-886	8	25	the	the	DET
ijassa-886	8	26	extended	extended	ADJ
ijassa-886	8	27	the	the	DET
ijassa-886	8	28	harrod	harrod	NOUN
ijassa-886	8	29	-	-	PUNCT
ijassa-886	8	30	domar	domar	NOUN
ijassa-886	8	31	model	model	NOUN
ijassa-886	8	32	.	.	PUNCT
ijassa-886	9	1	keywords	keyword	NOUN
ijassa-886	9	2	:	:	PUNCT
ijassa-886	9	3	economic	economic	ADJ
ijassa-886	9	4	growth	growth	NOUN
ijassa-886	9	5	,	,	PUNCT
ijassa-886	9	6	production	production	NOUN
ijassa-886	9	7	function	function	NOUN
ijassa-886	9	8	,	,	PUNCT
ijassa-886	9	9	harrod	harrod	NOUN
ijassa-886	9	10	-	-	PUNCT
ijassa-886	9	11	domar	domar	NOUN
ijassa-886	9	12	model	model	NOUN
ijassa-886	9	13	,	,	PUNCT
ijassa-886	9	14	solow	solow	PROPN
ijassa-886	9	15	model	model	NOUN
ijassa-886	9	16	1	1	NUM
ijassa-886	9	17	.	.	PUNCT
ijassa-886	9	18	introduction	introduction	NOUN
ijassa-886	9	19	models	model	NOUN
ijassa-886	9	20	of	of	ADP
ijassa-886	9	21	economic	economic	ADJ
ijassa-886	9	22	growth	growth	NOUN
ijassa-886	9	23	became	become	VERB
ijassa-886	9	24	very	very	ADV
ijassa-886	9	25	popular	popular	ADJ
ijassa-886	9	26	due	due	ADP
ijassa-886	9	27	to	to	ADP
ijassa-886	9	28	their	their	PRON
ijassa-886	9	29	universality	universality	NOUN
ijassa-886	9	30	.	.	PUNCT
ijassa-886	10	1	they	they	PRON
ijassa-886	10	2	were	be	AUX
ijassa-886	10	3	applied	apply	VERB
ijassa-886	10	4	to	to	ADP
ijassa-886	10	5	various	various	ADJ
ijassa-886	10	6	objects	object	NOUN
ijassa-886	10	7	in	in	ADP
ijassa-886	10	8	economic	economic	ADJ
ijassa-886	10	9	structures	structure	NOUN
ijassa-886	10	10	of	of	ADP
ijassa-886	10	11	many	many	ADJ
ijassa-886	10	12	kinds	kind	NOUN
ijassa-886	10	13	.	.	PUNCT
ijassa-886	11	1	in	in	ADP
ijassa-886	11	2	mathematical	mathematical	ADJ
ijassa-886	11	3	economics	economic	NOUN
ijassa-886	11	4	,	,	PUNCT
ijassa-886	11	5	there	there	PRON
ijassa-886	11	6	are	be	VERB
ijassa-886	11	7	two	two	NUM
ijassa-886	11	8	widely	widely	ADV
ijassa-886	11	9	acknowledged	acknowledge	VERB
ijassa-886	11	10	models	model	NOUN
ijassa-886	11	11	of	of	ADP
ijassa-886	11	12	economic	economic	ADJ
ijassa-886	11	13	dynamics	dynamic	NOUN
ijassa-886	11	14	:	:	PUNCT
ijassa-886	11	15	the	the	DET
ijassa-886	11	16	harrod	harrod	NOUN
ijassa-886	11	17	-	-	PUNCT
ijassa-886	11	18	domar	domar	NOUN
ijassa-886	11	19	model	model	NOUN
ijassa-886	11	20	and	and	CCONJ
ijassa-886	11	21	the	the	DET
ijassa-886	11	22	solow	solow	PROPN
ijassa-886	11	23	model	model	NOUN
ijassa-886	11	24	,	,	PUNCT
ijassa-886	11	25	which	which	PRON
ijassa-886	11	26	are	be	AUX
ijassa-886	11	27	presented	present	VERB
ijassa-886	11	28	in	in	ADP
ijassa-886	11	29	scientific	scientific	ADJ
ijassa-886	11	30	and	and	CCONJ
ijassa-886	11	31	educational	educational	ADJ
ijassa-886	11	32	literature	literature	NOUN
ijassa-886	11	33	.	.	PUNCT
ijassa-886	12	1	see	see	VERB
ijassa-886	12	2	[	[	X
ijassa-886	12	3	1	1	NUM
ijassa-886	12	4	]	]	PUNCT
ijassa-886	12	5	–	–	PUNCT
ijassa-886	13	1	[	[	X
ijassa-886	13	2	12	12	NUM
ijassa-886	13	3	]	]	PUNCT
ijassa-886	13	4	.	.	PUNCT
ijassa-886	14	1	in	in	ADP
ijassa-886	14	2	both	both	DET
ijassa-886	14	3	mentioned	mention	VERB
ijassa-886	14	4	models	model	NOUN
ijassa-886	14	5	,	,	PUNCT
ijassa-886	14	6	the	the	DET
ijassa-886	14	7	total	total	ADJ
ijassa-886	14	8	income	income	NOUN
ijassa-886	14	9	is	be	AUX
ijassa-886	14	10	the	the	DET
ijassa-886	14	11	sum	sum	NOUN
ijassa-886	14	12	of	of	ADP
ijassa-886	14	13	the	the	DET
ijassa-886	14	14	total	total	ADJ
ijassa-886	14	15	investment	investment	NOUN
ijassa-886	14	16	and	and	CCONJ
ijassa-886	14	17	the	the	DET
ijassa-886	14	18	total	total	ADJ
ijassa-886	14	19	consumption	consumption	NOUN
ijassa-886	14	20	.	.	PUNCT
ijassa-886	15	1	following	follow	VERB
ijassa-886	15	2	[	[	X
ijassa-886	15	3	13	13	NUM
ijassa-886	15	4	]	]	PUNCT
ijassa-886	15	5	,	,	PUNCT
ijassa-886	15	6	we	we	PRON
ijassa-886	15	7	establish	establish	VERB
ijassa-886	15	8	the	the	DET
ijassa-886	15	9	exact	exact	ADJ
ijassa-886	15	10	solution	solution	NOUN
ijassa-886	15	11	of	of	ADP
ijassa-886	15	12	the	the	DET
ijassa-886	15	13	cauchy	cauchy	ADJ
ijassa-886	15	14	problem	problem	NOUN
ijassa-886	15	15	for	for	ADP
ijassa-886	15	16	the	the	DET
ijassa-886	15	17	differential	differential	ADJ
ijassa-886	15	18	equation	equation	NOUN
ijassa-886	15	19	in	in	ADP
ijassa-886	15	20	the	the	DET
ijassa-886	15	21	harrod	harrod	NOUN
ijassa-886	15	22	-	-	PUNCT
ijassa-886	15	23	domar	domar	NOUN
ijassa-886	15	24	model	model	NOUN
ijassa-886	15	25	of	of	ADP
ijassa-886	15	26	macroeconomic	macroeconomic	ADJ
ijassa-886	15	27	dynamics	dynamic	NOUN
ijassa-886	15	28	with	with	ADP
ijassa-886	15	29	the	the	DET
ijassa-886	15	30	time	time	NOUN
ijassa-886	15	31	-	-	PUNCT
ijassa-886	15	32	dependent	dependent	ADJ
ijassa-886	15	33	coefficient	coefficient	NOUN
ijassa-886	15	34	of	of	ADP
ijassa-886	15	35	the	the	DET
ijassa-886	15	36	capital	capital	NOUN
ijassa-886	15	37	intensity	intensity	NOUN
ijassa-886	15	38	of	of	ADP
ijassa-886	15	39	income	income	NOUN
ijassa-886	15	40	growth	growth	NOUN
ijassa-886	15	41	(	(	PUNCT
ijassa-886	15	42	ciig	ciig	ADJ
ijassa-886	15	43	)	)	PUNCT
ijassa-886	15	44	.	.	PUNCT
ijassa-886	16	1	previously	previously	ADV
ijassa-886	16	2	,	,	PUNCT
ijassa-886	16	3	the	the	DET
ijassa-886	16	4	only	only	ADJ
ijassa-886	16	5	constant	constant	ADJ
ijassa-886	16	6	coefficients	coefficient	NOUN
ijassa-886	16	7	of	of	ADP
ijassa-886	16	8	ciig	ciig	ADJ
ijassa-886	16	9	were	be	AUX
ijassa-886	16	10	considered	consider	VERB
ijassa-886	16	11	;	;	PUNCT
ijassa-886	16	12	see	see	VERB
ijassa-886	16	13	[	[	X
ijassa-886	16	14	12	12	NUM
ijassa-886	16	15	]	]	PUNCT
ijassa-886	16	16	.	.	PUNCT
ijassa-886	17	1	to	to	PART
ijassa-886	17	2	confirm	confirm	VERB
ijassa-886	17	3	economic	economic	ADJ
ijassa-886	17	4	validity	validity	NOUN
ijassa-886	17	5	of	of	ADP
ijassa-886	17	6	the	the	DET
ijassa-886	17	7	assumption	assumption	NOUN
ijassa-886	17	8	that	that	SCONJ
ijassa-886	17	9	the	the	DET
ijassa-886	17	10	coefficient	coefficient	NOUN
ijassa-886	17	11	of	of	ADP
ijassa-886	17	12	ciig	ciig	ADJ
ijassa-886	17	13	depends	depend	VERB
ijassa-886	17	14	on	on	ADP
ijassa-886	17	15	time	time	NOUN
ijassa-886	17	16	,	,	PUNCT
ijassa-886	17	17	we	we	PRON
ijassa-886	17	18	investigate	investigate	VERB
ijassa-886	17	19	the	the	DET
ijassa-886	17	20	exact	exact	ADJ
ijassa-886	17	21	solution	solution	NOUN
ijassa-886	17	22	of	of	ADP
ijassa-886	17	23	the	the	DET
ijassa-886	17	24	solow	solow	PROPN
ijassa-886	17	25	model	model	NOUN
ijassa-886	17	26	with	with	ADP
ijassa-886	17	27	the	the	DET
ijassa-886	17	28	cobb	cobb	PROPN
ijassa-886	17	29	-	-	PUNCT
ijassa-886	17	30	douglas	douglas	PROPN
ijassa-886	17	31	production	production	NOUN
ijassa-886	17	32	function	function	NOUN
ijassa-886	17	33	.	.	PUNCT
ijassa-886	18	1	see	see	VERB
ijassa-886	18	2	,	,	PUNCT
ijassa-886	18	3	e.g.	e.g.	ADV
ijassa-886	18	4	,	,	PUNCT
ijassa-886	18	5	[	[	X
ijassa-886	18	6	3	3	NUM
ijassa-886	18	7	,	,	PUNCT
ijassa-886	18	8	4	4	NUM
ijassa-886	18	9	]	]	PUNCT
ijassa-886	18	10	and	and	CCONJ
ijassa-886	18	11	[	[	X
ijassa-886	18	12	7	7	NUM
ijassa-886	18	13	]	]	PUNCT
ijassa-886	18	14	–	–	PUNCT
ijassa-886	18	15	[	[	X
ijassa-886	18	16	10	10	NUM
ijassa-886	18	17	]	]	PUNCT
ijassa-886	18	18	.	.	PUNCT
ijassa-886	19	1	calculation	calculation	NOUN
ijassa-886	19	2	of	of	ADP
ijassa-886	19	3	the	the	DET
ijassa-886	19	4	income	income	NOUN
ijassa-886	19	5	growth	growth	NOUN
ijassa-886	19	6	capital	capital	NOUN
ijassa-886	19	7	intensity	intensity	NOUN
ijassa-886	19	8	factor	factor	NOUN
ijassa-886	19	9	of	of	ADP
ijassa-886	19	10	this	this	DET
ijassa-886	19	11	solution	solution	NOUN
ijassa-886	19	12	shows	show	VERB
ijassa-886	19	13	that	that	SCONJ
ijassa-886	19	14	this	this	DET
ijassa-886	19	15	coefficient	coefficient	NOUN
ijassa-886	19	16	is	be	AUX
ijassa-886	19	17	a	a	DET
ijassa-886	19	18	time	time	NOUN
ijassa-886	19	19	-	-	PUNCT
ijassa-886	19	20	dependent	dependent	ADJ
ijassa-886	19	21	function	function	NOUN
ijassa-886	19	22	.	.	PUNCT
ijassa-886	20	1	in	in	ADP
ijassa-886	20	2	the	the	DET
ijassa-886	20	3	present	present	ADJ
ijassa-886	20	4	paper	paper	NOUN
ijassa-886	20	5	,	,	PUNCT
ijassa-886	20	6	we	we	PRON
ijassa-886	20	7	also	also	ADV
ijassa-886	20	8	show	show	VERB
ijassa-886	20	9	that	that	SCONJ
ijassa-886	20	10	the	the	DET
ijassa-886	20	11	harrod	harrod	NOUN
ijassa-886	20	12	-	-	PUNCT
ijassa-886	20	13	domar	domar	NOUN
ijassa-886	20	14	model	model	NOUN
ijassa-886	20	15	is	be	AUX
ijassa-886	20	16	quite	quite	ADV
ijassa-886	20	17	convenient	convenient	ADJ
ijassa-886	20	18	for	for	ADP
ijassa-886	20	19	using	use	VERB
ijassa-886	20	20	the	the	DET
ijassa-886	20	21	apparatus	apparatus	NOUN
ijassa-886	20	22	of	of	ADP
ijassa-886	20	23	the	the	DET
ijassa-886	20	24	optimal	optimal	ADJ
ijassa-886	20	25	control	control	NOUN
ijassa-886	20	26	theory	theory	NOUN
ijassa-886	20	27	and	and	CCONJ
ijassa-886	20	28	the	the	DET
ijassa-886	20	29	calculus	calculus	NOUN
ijassa-886	20	30	of	of	ADP
ijassa-886	20	31	variations	variation	NOUN
ijassa-886	20	32	.	.	PUNCT
ijassa-886	21	1	using	use	VERB
ijassa-886	21	2	these	these	DET
ijassa-886	21	3	methods	method	NOUN
ijassa-886	21	4	,	,	PUNCT
ijassa-886	21	5	one	one	PRON
ijassa-886	21	6	can	can	AUX
ijassa-886	21	7	find	find	VERB
ijassa-886	21	8	the	the	DET
ijassa-886	21	9	maximum	maximum	NOUN
ijassa-886	21	10	of	of	ADP
ijassa-886	21	11	the	the	DET
ijassa-886	21	12	integral	integral	ADJ
ijassa-886	21	13	discounted	discount	VERB
ijassa-886	21	14	utility	utility	NOUN
ijassa-886	21	15	function	function	NOUN
ijassa-886	21	16	of	of	ADP
ijassa-886	21	17	consumption	consumption	NOUN
ijassa-886	21	18	.	.	PUNCT
ijassa-886	22	1	there	there	PRON
ijassa-886	22	2	are	be	VERB
ijassa-886	22	3	also	also	ADV
ijassa-886	22	4	formulated	formulate	VERB
ijassa-886	22	5	and	and	CCONJ
ijassa-886	22	6	investigated	investigate	VERB
ijassa-886	22	7	several	several	ADJ
ijassa-886	22	8	optimal	optimal	ADJ
ijassa-886	22	9	control	control	NOUN
ijassa-886	22	10	problems	problem	NOUN
ijassa-886	22	11	with	with	ADP
ijassa-886	22	12	various	various	ADJ
ijassa-886	22	13	constrains	constrain	NOUN
ijassa-886	22	14	that	that	PRON
ijassa-886	22	15	follows	follow	VERB
ijassa-886	22	16	from	from	ADP
ijassa-886	22	17	natural	natural	ADJ
ijassa-886	22	18	economic	economic	ADJ
ijassa-886	22	19	conditions	condition	NOUN
ijassa-886	22	20	.	.	PUNCT
ijassa-886	23	1	problems	problem	NOUN
ijassa-886	23	2	of	of	ADP
ijassa-886	23	3	this	this	DET
ijassa-886	23	4	type	type	NOUN
ijassa-886	23	5	are	be	AUX
ijassa-886	23	6	to	to	PART
ijassa-886	23	7	find	find	VERB
ijassa-886	23	8	the	the	DET
ijassa-886	23	9	maximum	maximum	NOUN
ijassa-886	23	10	of	of	ADP
ijassa-886	23	11	a	a	DET
ijassa-886	23	12	functional	functional	NOUN
ijassa-886	23	13	that	that	PRON
ijassa-886	23	14	expresses	express	VERB
ijassa-886	23	15	the	the	DET
ijassa-886	23	16	integral	integral	ADJ
ijassa-886	23	17	discounted	discount	VERB
ijassa-886	23	18	utility	utility	NOUN
ijassa-886	23	19	function	function	NOUN
ijassa-886	23	20	in	in	ADP
ijassa-886	23	21	the	the	DET
ijassa-886	23	22	presence	presence	NOUN
ijassa-886	23	23	of	of	ADP
ijassa-886	23	24	a	a	DET
ijassa-886	23	25	differential	differential	ADJ
ijassa-886	23	26	relation	relation	NOUN
ijassa-886	23	27	.	.	PUNCT
ijassa-886	24	1	consumption	consumption	NOUN
ijassa-886	24	2	and	and	CCONJ
ijassa-886	24	3	phase	phase	NOUN
ijassa-886	24	4	constraints	constraint	NOUN
ijassa-886	24	5	are	be	AUX
ijassa-886	24	6	investigated	investigate	VERB
ijassa-886	24	7	,	,	PUNCT
ijassa-886	24	8	extremal	extremal	ADJ
ijassa-886	24	9	problems	problem	NOUN
ijassa-886	24	10	in	in	ADP
ijassa-886	24	11	the	the	DET
ijassa-886	24	12	pontryagin	pontryagin	NOUN
ijassa-886	24	13	and	and	CCONJ
ijassa-886	24	14	dubovitsky	dubovitsky	ADJ
ijassa-886	24	15	-	-	PUNCT
ijassa-886	24	16	milyutin	milyutin	NOUN
ijassa-886	24	17	forms	form	NOUN
ijassa-886	24	18	are	be	AUX
ijassa-886	24	19	considered	consider	VERB
ijassa-886	24	20	.	.	PUNCT
ijassa-886	25	1	∗corresponding	∗corresponde	VERB
ijassa-886	25	2	author	author	NOUN
ijassa-886	25	3	:	:	PUNCT
ijassa-886	26	1	chernyaev49@yandex.ru	chernyaev49@yandex.ru	NUM
ijassa-886	26	2	72	72	NUM
ijassa-886	26	3	a.p	a.p	PROPN
ijassa-886	26	4	.	.	PROPN
ijassa-886	26	5	chernyaev	chernyaev	PROPN
ijassa-886	26	6	2	2	NUM
ijassa-886	26	7	.	.	PUNCT
ijassa-886	27	1	the	the	DET
ijassa-886	27	2	extended	extended	ADJ
ijassa-886	27	3	harrod	harrod	NOUN
ijassa-886	27	4	-	-	PUNCT
ijassa-886	27	5	domar	domar	NOUN
ijassa-886	27	6	model	model	NOUN
ijassa-886	27	7	in	in	ADP
ijassa-886	27	8	the	the	DET
ijassa-886	27	9	harrod	harrod	NOUN
ijassa-886	27	10	-	-	PUNCT
ijassa-886	27	11	domar	domar	NOUN
ijassa-886	27	12	model	model	NOUN
ijassa-886	27	13	,	,	PUNCT
ijassa-886	27	14	the	the	DET
ijassa-886	27	15	differential	differential	ADJ
ijassa-886	27	16	equation	equation	NOUN
ijassa-886	27	17	of	of	ADP
ijassa-886	27	18	the	the	DET
ijassa-886	27	19	macroeconomic	macroeconomic	ADJ
ijassa-886	27	20	dynamics	dynamic	NOUN
ijassa-886	27	21	with	with	ADP
ijassa-886	27	22	exogenous	exogenous	ADJ
ijassa-886	27	23	dynamics	dynamic	NOUN
ijassa-886	27	24	of	of	ADP
ijassa-886	27	25	the	the	DET
ijassa-886	27	26	consumption	consumption	NOUN
ijassa-886	27	27	of	of	ADP
ijassa-886	27	28	arbitrary	arbitrary	ADJ
ijassa-886	27	29	character	character	NOUN
ijassa-886	27	30	[	[	X
ijassa-886	27	31	12	12	NUM
ijassa-886	27	32	,	,	PUNCT
ijassa-886	27	33	13	13	NUM
ijassa-886	27	34	]	]	PUNCT
ijassa-886	27	35	has	have	VERB
ijassa-886	27	36	the	the	DET
ijassa-886	27	37	form	form	NOUN
ijassa-886	27	38	y	y	PROPN
ijassa-886	27	39	(	(	PUNCT
ijassa-886	27	40	t	t	PROPN
ijassa-886	27	41	)	)	PUNCT
ijassa-886	27	42	=	=	SYM
ijassa-886	27	43	c(t	c(t	PROPN
ijassa-886	27	44	)	)	PUNCT
ijassa-886	28	1	+	+	ADJ
ijassa-886	28	2	by	by	ADP
ijassa-886	28	3	′(t	′(t	NOUN
ijassa-886	28	4	)	)	PUNCT
ijassa-886	28	5	.	.	PUNCT
ijassa-886	29	1	(	(	PUNCT
ijassa-886	29	2	2.1	2.1	NUM
ijassa-886	29	3	)	)	PUNCT
ijassa-886	29	4	in	in	ADP
ijassa-886	29	5	this	this	DET
ijassa-886	29	6	model	model	NOUN
ijassa-886	29	7	,	,	PUNCT
ijassa-886	29	8	time	time	NOUN
ijassa-886	29	9	t	t	PROPN
ijassa-886	29	10	is	be	AUX
ijassa-886	29	11	continuous	continuous	ADJ
ijassa-886	29	12	.	.	PUNCT
ijassa-886	30	1	the	the	DET
ijassa-886	30	2	income	income	NOUN
ijassa-886	30	3	y	y	PROPN
ijassa-886	30	4	(	(	PUNCT
ijassa-886	30	5	t	t	PROPN
ijassa-886	30	6	)	)	PUNCT
ijassa-886	30	7	is	be	AUX
ijassa-886	30	8	equal	equal	ADJ
ijassa-886	30	9	to	to	ADP
ijassa-886	30	10	the	the	DET
ijassa-886	30	11	sum	sum	NOUN
ijassa-886	30	12	of	of	ADP
ijassa-886	30	13	the	the	DET
ijassa-886	30	14	consumptionc(t	consumptionc(t	NOUN
ijassa-886	30	15	)	)	PUNCT
ijassa-886	30	16	and	and	CCONJ
ijassa-886	30	17	the	the	DET
ijassa-886	30	18	investment	investment	NOUN
ijassa-886	30	19	i(t	i(t	PROPN
ijassa-886	30	20	)	)	PUNCT
ijassa-886	30	21	.	.	PUNCT
ijassa-886	31	1	usually	usually	ADV
ijassa-886	31	2	,	,	PUNCT
ijassa-886	31	3	y	y	PROPN
ijassa-886	31	4	(	(	PUNCT
ijassa-886	31	5	t	t	PROPN
ijassa-886	31	6	)	)	PUNCT
ijassa-886	31	7	refers	refer	VERB
ijassa-886	31	8	to	to	ADP
ijassa-886	31	9	the	the	DET
ijassa-886	31	10	gross	gross	ADJ
ijassa-886	31	11	domestic	domestic	ADJ
ijassa-886	31	12	product	product	NOUN
ijassa-886	31	13	,	,	PUNCT
ijassa-886	31	14	which	which	PRON
ijassa-886	31	15	is	be	AUX
ijassa-886	31	16	identified	identify	VERB
ijassa-886	31	17	with	with	ADP
ijassa-886	31	18	the	the	DET
ijassa-886	31	19	national	national	ADJ
ijassa-886	31	20	income	income	NOUN
ijassa-886	31	21	.	.	PUNCT
ijassa-886	32	1	the	the	DET
ijassa-886	32	2	economy	economy	NOUN
ijassa-886	32	3	is	be	AUX
ijassa-886	32	4	supposed	suppose	VERB
ijassa-886	32	5	to	to	PART
ijassa-886	32	6	be	be	AUX
ijassa-886	32	7	closed	close	VERB
ijassa-886	32	8	,	,	PUNCT
ijassa-886	32	9	therefore	therefore	ADV
ijassa-886	32	10	,	,	PUNCT
ijassa-886	32	11	the	the	DET
ijassa-886	32	12	net	net	ADJ
ijassa-886	32	13	exports	export	NOUN
ijassa-886	32	14	are	be	AUX
ijassa-886	32	15	zero	zero	NUM
ijassa-886	32	16	and	and	CCONJ
ijassa-886	32	17	the	the	DET
ijassa-886	32	18	government	government	NOUN
ijassa-886	32	19	expenses	expense	NOUN
ijassa-886	32	20	are	be	AUX
ijassa-886	32	21	not	not	PART
ijassa-886	32	22	considered	consider	VERB
ijassa-886	32	23	in	in	ADP
ijassa-886	32	24	the	the	DET
ijassa-886	32	25	model	model	NOUN
ijassa-886	32	26	.	.	PUNCT
ijassa-886	33	1	the	the	DET
ijassa-886	33	2	main	main	ADJ
ijassa-886	33	3	factor	factor	NOUN
ijassa-886	33	4	of	of	ADP
ijassa-886	33	5	the	the	DET
ijassa-886	33	6	growth	growth	NOUN
ijassa-886	33	7	–	–	PUNCT
ijassa-886	33	8	the	the	DET
ijassa-886	33	9	speed	speed	NOUN
ijassa-886	33	10	of	of	ADP
ijassa-886	33	11	income	income	NOUN
ijassa-886	33	12	growth	growth	NOUN
ijassa-886	33	13	–	–	PUNCT
ijassa-886	33	14	is	be	AUX
ijassa-886	33	15	proportional	proportional	ADJ
ijassa-886	33	16	to	to	ADP
ijassa-886	33	17	the	the	DET
ijassa-886	33	18	investment	investment	NOUN
ijassa-886	33	19	.	.	PUNCT
ijassa-886	34	1	see	see	VERB
ijassa-886	34	2	[	[	X
ijassa-886	34	3	6	6	NUM
ijassa-886	34	4	,	,	PUNCT
ijassa-886	34	5	12	12	NUM
ijassa-886	34	6	,	,	PUNCT
ijassa-886	34	7	13	13	NUM
ijassa-886	34	8	]	]	PUNCT
ijassa-886	34	9	.	.	PUNCT
ijassa-886	35	1	that	that	PRON
ijassa-886	35	2	is	be	AUX
ijassa-886	35	3	,	,	PUNCT
ijassa-886	35	4	i(t	i(t	PROPN
ijassa-886	35	5	)	)	PUNCT
ijassa-886	35	6	=	=	PUNCT
ijassa-886	35	7	by	by	ADP
ijassa-886	35	8	′(t	′(t	NOUN
ijassa-886	35	9	)	)	PUNCT
ijassa-886	35	10	,	,	PUNCT
ijassa-886	35	11	where	where	SCONJ
ijassa-886	35	12	b	b	NOUN
ijassa-886	35	13	is	be	AUX
ijassa-886	35	14	the	the	DET
ijassa-886	35	15	coefficient	coefficient	NOUN
ijassa-886	35	16	of	of	ADP
ijassa-886	35	17	the	the	DET
ijassa-886	35	18	capital	capital	NOUN
ijassa-886	35	19	intensity	intensity	NOUN
ijassa-886	35	20	of	of	ADP
ijassa-886	35	21	income	income	NOUN
ijassa-886	35	22	growth	growth	NOUN
ijassa-886	35	23	(	(	PUNCT
ijassa-886	35	24	ciig	ciig	ADJ
ijassa-886	35	25	)	)	PUNCT
ijassa-886	35	26	and	and	CCONJ
ijassa-886	35	27	1	1	NUM
ijassa-886	35	28	/	/	SYM
ijassa-886	35	29	b	b	NOUN
ijassa-886	35	30	is	be	AUX
ijassa-886	35	31	the	the	DET
ijassa-886	35	32	limit	limit	NOUN
ijassa-886	35	33	product	product	NOUN
ijassa-886	35	34	of	of	ADP
ijassa-886	35	35	capital	capital	NOUN
ijassa-886	35	36	at	at	ADP
ijassa-886	35	37	the	the	DET
ijassa-886	35	38	macroeconomic	macroeconomic	ADJ
ijassa-886	35	39	level	level	NOUN
ijassa-886	35	40	.	.	PUNCT
ijassa-886	36	1	previously	previously	ADV
ijassa-886	36	2	,	,	PUNCT
ijassa-886	36	3	the	the	DET
ijassa-886	36	4	coefficient	coefficient	NOUN
ijassa-886	36	5	of	of	ADP
ijassa-886	36	6	ciig	ciig	ADJ
ijassa-886	36	7	was	be	AUX
ijassa-886	36	8	supposed	suppose	VERB
ijassa-886	36	9	to	to	PART
ijassa-886	36	10	be	be	AUX
ijassa-886	36	11	a	a	DET
ijassa-886	36	12	positive	positive	ADJ
ijassa-886	36	13	constant	constant	ADJ
ijassa-886	37	1	[	[	X
ijassa-886	37	2	12	12	NUM
ijassa-886	37	3	,	,	PUNCT
ijassa-886	37	4	14	14	NUM
ijassa-886	37	5	]	]	SYM
ijassa-886	37	6	:	:	PUNCT
ijassa-886	37	7	b	b	X
ijassa-886	37	8	=	=	SYM
ijassa-886	37	9	const	const	X
ijassa-886	37	10	>	>	X
ijassa-886	37	11	0	0	NUM
ijassa-886	37	12	.	.	PUNCT
ijassa-886	38	1	(	(	PUNCT
ijassa-886	38	2	2.2	2.2	NUM
ijassa-886	38	3	)	)	PUNCT
ijassa-886	38	4	in	in	ADP
ijassa-886	38	5	the	the	DET
ijassa-886	38	6	case	case	NOUN
ijassa-886	38	7	(	(	PUNCT
ijassa-886	38	8	2.2	2.2	NUM
ijassa-886	38	9	)	)	PUNCT
ijassa-886	38	10	,	,	PUNCT
ijassa-886	38	11	the	the	DET
ijassa-886	38	12	solution	solution	NOUN
ijassa-886	38	13	of	of	ADP
ijassa-886	38	14	differential	differential	ADJ
ijassa-886	38	15	equation	equation	NOUN
ijassa-886	38	16	(	(	PUNCT
ijassa-886	38	17	2.1	2.1	NUM
ijassa-886	38	18	)	)	PUNCT
ijassa-886	38	19	is	be	AUX
ijassa-886	38	20	given	give	VERB
ijassa-886	38	21	by	by	ADP
ijassa-886	38	22	the	the	DET
ijassa-886	38	23	formula	formula	NOUN
ijassa-886	38	24	y	y	PROPN
ijassa-886	38	25	(	(	PUNCT
ijassa-886	38	26	t	t	PROPN
ijassa-886	38	27	)	)	PUNCT
ijassa-886	38	28	=	=	SYM
ijassa-886	39	1	y0e	y0e	NOUN
ijassa-886	39	2	t−t0	t−t0	VERB
ijassa-886	39	3	b	b	NOUN
ijassa-886	39	4	−	−	PROPN
ijassa-886	39	5	1	1	NUM
ijassa-886	39	6	b	b	PROPN
ijassa-886	39	7	∫	∫	PROPN
ijassa-886	39	8	t	t	PROPN
ijassa-886	39	9	t0	t0	PROPN
ijassa-886	39	10	c(τ)e	c(τ)e	PROPN
ijassa-886	39	11	t−τ	t−τ	PROPN
ijassa-886	39	12	b	b	PROPN
ijassa-886	39	13	dτ	dτ	PROPN
ijassa-886	39	14	.	.	PROPN
ijassa-886	40	1	(	(	PUNCT
ijassa-886	40	2	2.3	2.3	NUM
ijassa-886	40	3	)	)	PUNCT
ijassa-886	40	4	we	we	PRON
ijassa-886	40	5	consider	consider	VERB
ijassa-886	40	6	the	the	DET
ijassa-886	40	7	cauchy	cauchy	ADJ
ijassa-886	40	8	problem	problem	NOUN
ijassa-886	40	9	:	:	PUNCT
ijassa-886	40	10	differential	differential	ADJ
ijassa-886	40	11	equation	equation	NOUN
ijassa-886	40	12	(	(	PUNCT
ijassa-886	40	13	2.1	2.1	NUM
ijassa-886	40	14	)	)	PUNCT
ijassa-886	40	15	with	with	ADP
ijassa-886	40	16	the	the	DET
ijassa-886	40	17	initial	initial	ADJ
ijassa-886	40	18	condition	condition	NOUN
ijassa-886	40	19	y	y	PROPN
ijassa-886	40	20	(	(	PUNCT
ijassa-886	40	21	t0	t0	PROPN
ijassa-886	40	22	)	)	PUNCT
ijassa-886	40	23	=	=	PUNCT
ijassa-886	41	1	y0	y0	VERB
ijassa-886	41	2	>	>	X
ijassa-886	41	3	0	0	NUM
ijassa-886	41	4	.	.	PUNCT
ijassa-886	42	1	(	(	PUNCT
ijassa-886	42	2	2.4	2.4	NUM
ijassa-886	42	3	)	)	PUNCT
ijassa-886	42	4	the	the	DET
ijassa-886	42	5	main	main	ADJ
ijassa-886	42	6	assumption	assumption	NOUN
ijassa-886	42	7	is	be	AUX
ijassa-886	42	8	that	that	PRON
ijassa-886	42	9	b	b	X
ijassa-886	42	10	=	=	SYM
ijassa-886	42	11	b(t	b(t	PROPN
ijassa-886	42	12	)	)	PUNCT
ijassa-886	42	13	.	.	PUNCT
ijassa-886	43	1	(	(	PUNCT
ijassa-886	43	2	2.5	2.5	NUM
ijassa-886	43	3	)	)	PUNCT
ijassa-886	43	4	the	the	DET
ijassa-886	43	5	solution	solution	NOUN
ijassa-886	43	6	of	of	ADP
ijassa-886	43	7	this	this	DET
ijassa-886	43	8	cauchy	cauchy	ADJ
ijassa-886	43	9	problem	problem	NOUN
ijassa-886	43	10	is	be	AUX
ijassa-886	43	11	given	give	VERB
ijassa-886	43	12	by	by	ADP
ijassa-886	43	13	the	the	DET
ijassa-886	43	14	formula	formula	NOUN
ijassa-886	43	15	(	(	PUNCT
ijassa-886	43	16	see	see	VERB
ijassa-886	43	17	[	[	X
ijassa-886	43	18	13	13	NUM
ijassa-886	43	19	]	]	SYM
ijassa-886	43	20	):	):	PUNCT
ijassa-886	43	21	y	y	PROPN
ijassa-886	43	22	(	(	PUNCT
ijassa-886	43	23	t	t	PROPN
ijassa-886	43	24	)	)	PUNCT
ijassa-886	43	25	=	=	SYM
ijassa-886	43	26	y0e	y0e	NOUN
ijassa-886	43	27	∫	∫	PROPN
ijassa-886	43	28	t	t	PROPN
ijassa-886	43	29	t0	t0	PROPN
ijassa-886	43	30	ds	ds	PRON
ijassa-886	43	31	b(s	b(	NOUN
ijassa-886	43	32	)	)	PUNCT
ijassa-886	44	1	−	−	NOUN
ijassa-886	45	1	e	e	X
ijassa-886	45	2	∫	∫	PROPN
ijassa-886	45	3	t	t	PROPN
ijassa-886	45	4	t0	t0	PROPN
ijassa-886	45	5	ds	ds	PRON
ijassa-886	45	6	b(s	b(s	PROPN
ijassa-886	45	7	)	)	PUNCT
ijassa-886	45	8	∫	∫	PROPN
ijassa-886	45	9	t	t	PROPN
ijassa-886	45	10	t0	t0	PROPN
ijassa-886	45	11	c(τ	c(τ	PROPN
ijassa-886	45	12	)	)	PUNCT
ijassa-886	45	13	b(τ	b(τ	PROPN
ijassa-886	45	14	)	)	PUNCT
ijassa-886	45	15	e	e	NOUN
ijassa-886	45	16	−	−	PROPN
ijassa-886	45	17	∫	∫	PROPN
ijassa-886	45	18	t	t	PROPN
ijassa-886	45	19	t0	t0	PROPN
ijassa-886	45	20	ds	ds	PROPN
ijassa-886	45	21	b(s)dτ	b(s)dτ	PROPN
ijassa-886	45	22	.	.	PUNCT
ijassa-886	46	1	(	(	PUNCT
ijassa-886	46	2	2.6	2.6	NUM
ijassa-886	46	3	)	)	PUNCT
ijassa-886	46	4	obviously	obviously	ADV
ijassa-886	46	5	,	,	PUNCT
ijassa-886	46	6	in	in	ADP
ijassa-886	46	7	the	the	DET
ijassa-886	46	8	case	case	NOUN
ijassa-886	46	9	(	(	PUNCT
ijassa-886	46	10	2.2	2.2	NUM
ijassa-886	46	11	)	)	PUNCT
ijassa-886	46	12	formula	formula	NOUN
ijassa-886	46	13	(	(	PUNCT
ijassa-886	46	14	2.6	2.6	NUM
ijassa-886	46	15	)	)	PUNCT
ijassa-886	46	16	becomes	become	VERB
ijassa-886	46	17	(	(	PUNCT
ijassa-886	46	18	2.3	2.3	NUM
ijassa-886	46	19	)	)	PUNCT
ijassa-886	46	20	.	.	PUNCT
ijassa-886	47	1	the	the	DET
ijassa-886	47	2	economic	economic	ADJ
ijassa-886	47	3	validity	validity	NOUN
ijassa-886	47	4	of	of	ADP
ijassa-886	47	5	the	the	DET
ijassa-886	47	6	assumption	assumption	NOUN
ijassa-886	47	7	(	(	PUNCT
ijassa-886	47	8	2.5	2.5	NUM
ijassa-886	47	9	)	)	PUNCT
ijassa-886	47	10	follows	follow	VERB
ijassa-886	47	11	from	from	ADP
ijassa-886	47	12	the	the	DET
ijassa-886	47	13	comparative	comparative	ADJ
ijassa-886	47	14	analysis	analysis	NOUN
ijassa-886	47	15	of	of	ADP
ijassa-886	47	16	the	the	DET
ijassa-886	47	17	harrod	harrod	NOUN
ijassa-886	47	18	-	-	PUNCT
ijassa-886	47	19	domar	domar	NOUN
ijassa-886	47	20	model	model	NOUN
ijassa-886	47	21	and	and	CCONJ
ijassa-886	47	22	the	the	DET
ijassa-886	47	23	solow	solow	PROPN
ijassa-886	47	24	model	model	NOUN
ijassa-886	47	25	.	.	PUNCT
ijassa-886	48	1	from	from	ADP
ijassa-886	48	2	the	the	DET
ijassa-886	48	3	economic	economic	ADJ
ijassa-886	48	4	viewpoint	viewpoint	NOUN
ijassa-886	48	5	,	,	PUNCT
ijassa-886	48	6	it	it	PRON
ijassa-886	48	7	reflects	reflect	VERB
ijassa-886	48	8	the	the	DET
ijassa-886	48	9	rate	rate	NOUN
ijassa-886	48	10	of	of	ADP
ijassa-886	48	11	the	the	DET
ijassa-886	48	12	technical	technical	ADJ
ijassa-886	48	13	progress	progress	NOUN
ijassa-886	48	14	and	and	CCONJ
ijassa-886	48	15	the	the	DET
ijassa-886	48	16	rapidly	rapidly	ADV
ijassa-886	48	17	changing	change	VERB
ijassa-886	48	18	of	of	ADP
ijassa-886	48	19	the	the	DET
ijassa-886	48	20	economic	economic	ADJ
ijassa-886	48	21	conditions	condition	NOUN
ijassa-886	48	22	.	.	PUNCT
ijassa-886	49	1	3	3	X
ijassa-886	49	2	.	.	X
ijassa-886	49	3	the	the	DET
ijassa-886	49	4	solow	solow	PROPN
ijassa-886	49	5	model	model	NOUN
ijassa-886	49	6	there	there	PRON
ijassa-886	49	7	are	be	VERB
ijassa-886	49	8	several	several	ADJ
ijassa-886	49	9	different	different	ADJ
ijassa-886	49	10	ways	way	NOUN
ijassa-886	49	11	of	of	ADP
ijassa-886	49	12	the	the	DET
ijassa-886	49	13	presentation	presentation	NOUN
ijassa-886	49	14	of	of	ADP
ijassa-886	49	15	the	the	DET
ijassa-886	49	16	solow	solow	PROPN
ijassa-886	49	17	macroeconomic	macroeconomic	ADJ
ijassa-886	49	18	model	model	NOUN
ijassa-886	49	19	.	.	PUNCT
ijassa-886	50	1	see	see	VERB
ijassa-886	50	2	,	,	PUNCT
ijassa-886	50	3	e.g.	e.g.	ADV
ijassa-886	50	4	,	,	PUNCT
ijassa-886	50	5	the	the	DET
ijassa-886	50	6	original	original	ADJ
ijassa-886	50	7	works	work	NOUN
ijassa-886	50	8	[	[	X
ijassa-886	50	9	3	3	NUM
ijassa-886	50	10	,	,	PUNCT
ijassa-886	50	11	4	4	NUM
ijassa-886	50	12	]	]	PUNCT
ijassa-886	50	13	and	and	CCONJ
ijassa-886	50	14	the	the	DET
ijassa-886	50	15	papers	paper	NOUN
ijassa-886	50	16	[	[	X
ijassa-886	50	17	6	6	NUM
ijassa-886	50	18	]	]	PUNCT
ijassa-886	50	19	–	–	PUNCT
ijassa-886	50	20	[	[	X
ijassa-886	50	21	11	11	NUM
ijassa-886	50	22	]	]	PUNCT
ijassa-886	50	23	.	.	PUNCT
ijassa-886	51	1	in	in	ADP
ijassa-886	51	2	the	the	DET
ijassa-886	51	3	solow	solow	PROPN
ijassa-886	51	4	model	model	NOUN
ijassa-886	51	5	,	,	PUNCT
ijassa-886	51	6	the	the	DET
ijassa-886	51	7	average	average	ADJ
ijassa-886	51	8	per	per	X
ijassa-886	51	9	capita	capita	X
ijassa-886	51	10	capital	capital	NOUN
ijassa-886	51	11	k	k	PROPN
ijassa-886	51	12	satisfies	satisfy	VERB
ijassa-886	51	13	a	a	DET
ijassa-886	51	14	first	first	ADJ
ijassa-886	51	15	-	-	PUNCT
ijassa-886	51	16	order	order	NOUN
ijassa-886	51	17	nonlinear	nonlinear	ADJ
ijassa-886	51	18	differential	differential	ADJ
ijassa-886	51	19	equation	equation	NOUN
ijassa-886	51	20	,	,	PUNCT
ijassa-886	51	21	which	which	PRON
ijassa-886	51	22	follows	follow	VERB
ijassa-886	51	23	from	from	ADP
ijassa-886	51	24	the	the	DET
ijassa-886	51	25	balance	balance	NOUN
ijassa-886	51	26	equation	equation	NOUN
ijassa-886	51	27	for	for	ADP
ijassa-886	51	28	funds	fund	NOUN
ijassa-886	51	29	:	:	PUNCT
ijassa-886	51	30	dk	dk	PRON
ijassa-886	51	31	dt	dt	X
ijassa-886	51	32	=	=	SYM
ijassa-886	51	33	−λk	−λk	PROPN
ijassa-886	51	34	+	+	CCONJ
ijassa-886	51	35	ρf(k	ρf(k	NUM
ijassa-886	51	36	)	)	PUNCT
ijassa-886	51	37	,	,	PUNCT
ijassa-886	51	38	(	(	PUNCT
ijassa-886	51	39	3.7	3.7	NUM
ijassa-886	51	40	)	)	PUNCT
ijassa-886	51	41	with	with	ADP
ijassa-886	51	42	the	the	DET
ijassa-886	51	43	initial	initial	ADJ
ijassa-886	51	44	condition	condition	NOUN
ijassa-886	51	45	k(0	k(0	PROPN
ijassa-886	51	46	)	)	PUNCT
ijassa-886	52	1	=	=	SYM
ijassa-886	52	2	k0	k0	PROPN
ijassa-886	52	3	>	>	X
ijassa-886	52	4	0	0	PROPN
ijassa-886	52	5	.	.	PUNCT
ijassa-886	53	1	(	(	PUNCT
ijassa-886	53	2	3.8	3.8	NUM
ijassa-886	53	3	)	)	PUNCT
ijassa-886	53	4	equation	equation	NOUN
ijassa-886	53	5	(	(	PUNCT
ijassa-886	53	6	3.7	3.7	NUM
ijassa-886	53	7	)	)	PUNCT
ijassa-886	53	8	with	with	ADP
ijassa-886	53	9	condition	condition	NOUN
ijassa-886	53	10	(	(	PUNCT
ijassa-886	53	11	3.8	3.8	NUM
ijassa-886	53	12	)	)	PUNCT
ijassa-886	53	13	yield	yield	NOUN
ijassa-886	53	14	cauchy	cauchy	ADJ
ijassa-886	53	15	problem	problem	NOUN
ijassa-886	53	16	we	we	PRON
ijassa-886	53	17	shall	shall	AUX
ijassa-886	53	18	deal	deal	VERB
ijassa-886	53	19	with	with	ADP
ijassa-886	53	20	.	.	PUNCT
ijassa-886	54	1	here	here	ADV
ijassa-886	54	2	k	k	X
ijassa-886	54	3	=	=	PUNCT
ijassa-886	54	4	k	k	PROPN
ijassa-886	54	5	/	/	SYM
ijassa-886	54	6	l	l	NOUN
ijassa-886	54	7	,	,	PUNCT
ijassa-886	54	8	where	where	SCONJ
ijassa-886	54	9	k	k	PROPN
ijassa-886	54	10	is	be	AUX
ijassa-886	54	11	the	the	DET
ijassa-886	54	12	capital	capital	NOUN
ijassa-886	54	13	or	or	CCONJ
ijassa-886	54	14	funds	fund	NOUN
ijassa-886	54	15	,	,	PUNCT
ijassa-886	54	16	l	l	NOUN
ijassa-886	54	17	means	mean	VERB
ijassa-886	54	18	human	human	ADJ
ijassa-886	54	19	resources	resource	NOUN
ijassa-886	54	20	(	(	PUNCT
ijassa-886	54	21	or	or	CCONJ
ijassa-886	54	22	labour	labour	NOUN
ijassa-886	54	23	)	)	PUNCT
ijassa-886	54	24	resources	resource	NOUN
ijassa-886	54	25	,	,	PUNCT
ijassa-886	54	26	time	time	NOUN
ijassa-886	54	27	t	t	PROPN
ijassa-886	54	28	is	be	AUX
ijassa-886	54	29	measured	measure	VERB
ijassa-886	54	30	in	in	ADP
ijassa-886	54	31	years	year	NOUN
ijassa-886	54	32	,	,	PUNCT
ijassa-886	54	33	ρ	ρ	PROPN
ijassa-886	54	34	is	be	AUX
ijassa-886	54	35	the	the	DET
ijassa-886	54	36	norm	norm	NOUN
ijassa-886	54	37	of	of	ADP
ijassa-886	54	38	accumulation	accumulation	NOUN
ijassa-886	54	39	(	(	PUNCT
ijassa-886	54	40	the	the	DET
ijassa-886	54	41	share	share	NOUN
ijassa-886	54	42	of	of	ADP
ijassa-886	54	43	gross	gross	ADJ
ijassa-886	54	44	copyright	copyright	NOUN
ijassa-886	54	45	©	©	PROPN
ijassa-886	54	46	2020	2020	NUM
ijassa-886	54	47	assa	assa	NOUN
ijassa-886	54	48	.	.	PUNCT
ijassa-886	55	1	adv	adv	PROPN
ijassa-886	55	2	syst	syst	PROPN
ijassa-886	55	3	sci	sci	PROPN
ijassa-886	55	4	appl	appl	PROPN
ijassa-886	55	5	(	(	PUNCT
ijassa-886	55	6	2020	2020	NUM
ijassa-886	55	7	)	)	PUNCT
ijassa-886	55	8	dynamic	dynamic	ADJ
ijassa-886	55	9	models	model	NOUN
ijassa-886	55	10	of	of	ADP
ijassa-886	55	11	economic	economic	ADJ
ijassa-886	55	12	growth	growth	NOUN
ijassa-886	55	13	73	73	NUM
ijassa-886	55	14	investment	investment	NOUN
ijassa-886	55	15	in	in	ADP
ijassa-886	55	16	the	the	DET
ijassa-886	55	17	gross	gross	ADJ
ijassa-886	55	18	domestic	domestic	ADJ
ijassa-886	55	19	product	product	NOUN
ijassa-886	55	20	)	)	PUNCT
ijassa-886	55	21	.	.	PUNCT
ijassa-886	56	1	following	follow	VERB
ijassa-886	56	2	[	[	X
ijassa-886	56	3	7	7	NUM
ijassa-886	56	4	]	]	PUNCT
ijassa-886	56	5	,	,	PUNCT
ijassa-886	56	6	we	we	PRON
ijassa-886	56	7	shall	shall	AUX
ijassa-886	56	8	assume	assume	VERB
ijassa-886	56	9	that	that	SCONJ
ijassa-886	56	10	ρ	ρ	NOUN
ijassa-886	56	11	=	=	SYM
ijassa-886	56	12	const	const	NOUN
ijassa-886	56	13	,	,	PUNCT
ijassa-886	56	14	0	0	PUNCT
ijassa-886	56	15	<	<	X
ijassa-886	56	16	ρ	ρ	X
ijassa-886	56	17	<	<	X
ijassa-886	56	18	1	1	NUM
ijassa-886	56	19	.	.	PUNCT
ijassa-886	57	1	the	the	DET
ijassa-886	57	2	function	function	NOUN
ijassa-886	57	3	f(k	f(k	VERB
ijassa-886	57	4	)	)	PUNCT
ijassa-886	58	1	=	=	SYM
ijassa-886	58	2	f	f	X
ijassa-886	58	3	(	(	PUNCT
ijassa-886	58	4	k	k	X
ijassa-886	58	5	,	,	PUNCT
ijassa-886	58	6	l	l	NOUN
ijassa-886	58	7	)	)	PUNCT
ijassa-886	58	8	l	l	NOUN
ijassa-886	59	1	=	=	SYM
ijassa-886	59	2	f	f	X
ijassa-886	59	3	(	(	PUNCT
ijassa-886	59	4	k	k	NOUN
ijassa-886	59	5	,	,	PUNCT
ijassa-886	59	6	1	1	NUM
ijassa-886	59	7	)	)	PUNCT
ijassa-886	59	8	.	.	PUNCT
ijassa-886	60	1	(	(	PUNCT
ijassa-886	60	2	3.9	3.9	NUM
ijassa-886	60	3	)	)	PUNCT
ijassa-886	60	4	here	here	ADV
ijassa-886	60	5	f	f	X
ijassa-886	60	6	(	(	PUNCT
ijassa-886	60	7	k	k	X
ijassa-886	60	8	,	,	PUNCT
ijassa-886	60	9	l	l	NOUN
ijassa-886	60	10	)	)	PUNCT
ijassa-886	60	11	is	be	AUX
ijassa-886	60	12	the	the	DET
ijassa-886	60	13	neoclassical	neoclassical	ADJ
ijassa-886	60	14	production	production	NOUN
ijassa-886	60	15	function	function	NOUN
ijassa-886	60	16	;	;	PUNCT
ijassa-886	60	17	see	see	VERB
ijassa-886	60	18	[	[	X
ijassa-886	60	19	7	7	NUM
ijassa-886	60	20	,	,	PUNCT
ijassa-886	60	21	8	8	NUM
ijassa-886	60	22	,	,	PUNCT
ijassa-886	60	23	15	15	NUM
ijassa-886	60	24	]	]	PUNCT
ijassa-886	60	25	.	.	PUNCT
ijassa-886	61	1	the	the	DET
ijassa-886	61	2	coefficient	coefficient	NOUN
ijassa-886	61	3	λ	λ	X
ijassa-886	61	4	=	=	PUNCT
ijassa-886	61	5	µ+	µ+	X
ijassa-886	61	6	ν	ν	NOUN
ijassa-886	61	7	,	,	PUNCT
ijassa-886	61	8	where	where	SCONJ
ijassa-886	61	9	µ	µ	NOUN
ijassa-886	61	10	is	be	AUX
ijassa-886	61	11	the	the	DET
ijassa-886	61	12	share	share	NOUN
ijassa-886	61	13	of	of	ADP
ijassa-886	61	14	the	the	DET
ijassa-886	61	15	annual	annual	ADJ
ijassa-886	61	16	decrease	decrease	NOUN
ijassa-886	61	17	of	of	ADP
ijassa-886	61	18	main	main	ADJ
ijassa-886	61	19	production	production	NOUN
ijassa-886	61	20	funds	fund	NOUN
ijassa-886	61	21	.	.	PUNCT
ijassa-886	62	1	similarly	similarly	ADV
ijassa-886	62	2	to	to	ADP
ijassa-886	62	3	[	[	PUNCT
ijassa-886	62	4	7	7	NUM
ijassa-886	62	5	]	]	PUNCT
ijassa-886	62	6	,	,	PUNCT
ijassa-886	62	7	we	we	PRON
ijassa-886	62	8	assume	assume	VERB
ijassa-886	62	9	that	that	SCONJ
ijassa-886	62	10	µ	µ	X
ijassa-886	62	11	=	=	SYM
ijassa-886	62	12	const	const	NOUN
ijassa-886	62	13	.	.	PUNCT
ijassa-886	63	1	the	the	DET
ijassa-886	63	2	second	second	ADJ
ijassa-886	63	3	term	term	NOUN
ijassa-886	63	4	ν	ν	NOUN
ijassa-886	63	5	means	mean	VERB
ijassa-886	63	6	the	the	DET
ijassa-886	63	7	annual	annual	ADJ
ijassa-886	63	8	growth	growth	NOUN
ijassa-886	63	9	rate	rate	NOUN
ijassa-886	63	10	of	of	ADP
ijassa-886	63	11	the	the	DET
ijassa-886	63	12	labour	labour	ADJ
ijassa-886	63	13	force	force	NOUN
ijassa-886	63	14	,	,	PUNCT
ijassa-886	63	15	i.e.	i.e.	X
ijassa-886	63	16	1	1	NUM
ijassa-886	63	17	l	l	NOUN
ijassa-886	63	18	dl	dl	X
ijassa-886	63	19	dt	dt	X
ijassa-886	63	20	=	=	SYM
ijassa-886	63	21	ν	ν	X
ijassa-886	63	22	.	.	PUNCT
ijassa-886	64	1	(	(	PUNCT
ijassa-886	64	2	3.10	3.10	NUM
ijassa-886	64	3	)	)	PUNCT
ijassa-886	64	4	here	here	ADV
ijassa-886	64	5	µ	µ	X
ijassa-886	64	6	and	and	CCONJ
ijassa-886	64	7	ν	ν	NOUN
ijassa-886	64	8	satisfy	satisfy	VERB
ijassa-886	64	9	the	the	DET
ijassa-886	64	10	restrictions	restriction	NOUN
ijassa-886	64	11	0	0	PUNCT
ijassa-886	64	12	<	<	X
ijassa-886	64	13	µ	µ	X
ijassa-886	64	14	<	<	X
ijassa-886	64	15	1	1	NUM
ijassa-886	64	16	,	,	PUNCT
ijassa-886	64	17	−1	−1	NOUN
ijassa-886	64	18	<	<	X
ijassa-886	64	19	ν	ν	X
ijassa-886	64	20	<	<	X
ijassa-886	64	21	1	1	NUM
ijassa-886	64	22	.	.	PUNCT
ijassa-886	65	1	the	the	DET
ijassa-886	65	2	balance	balance	NOUN
ijassa-886	65	3	equation	equation	NOUN
ijassa-886	65	4	for	for	ADP
ijassa-886	65	5	funds	fund	NOUN
ijassa-886	65	6	reads	read	VERB
ijassa-886	65	7	dk	dk	PRON
ijassa-886	65	8	dt	dt	X
ijassa-886	65	9	=	=	PUNCT
ijassa-886	65	10	ρy	ρy	ADP
ijassa-886	65	11	−	−	PROPN
ijassa-886	65	12	µk	µk	NOUN
ijassa-886	65	13	.	.	PUNCT
ijassa-886	66	1	(	(	PUNCT
ijassa-886	66	2	3.11	3.11	NUM
ijassa-886	66	3	)	)	PUNCT
ijassa-886	66	4	then	then	ADV
ijassa-886	66	5	for	for	ADP
ijassa-886	66	6	the	the	DET
ijassa-886	66	7	average	average	ADJ
ijassa-886	66	8	per	per	X
ijassa-886	66	9	capita	capita	X
ijassa-886	66	10	capital	capital	NOUN
ijassa-886	66	11	we	we	PRON
ijassa-886	66	12	have	have	VERB
ijassa-886	66	13	the	the	DET
ijassa-886	66	14	following	follow	VERB
ijassa-886	66	15	chain	chain	NOUN
ijassa-886	66	16	of	of	ADP
ijassa-886	66	17	the	the	DET
ijassa-886	66	18	equalities	equality	NOUN
ijassa-886	67	1	dk	dk	INTJ
ijassa-886	67	2	dt	dt	NOUN
ijassa-886	67	3	=	=	SYM
ijassa-886	68	1	d	d	NOUN
ijassa-886	68	2	dt	dt	X
ijassa-886	68	3	(	(	PUNCT
ijassa-886	68	4	k	k	NOUN
ijassa-886	68	5	l	l	NOUN
ijassa-886	68	6	)	)	PUNCT
ijassa-886	69	1	=	=	SYM
ijassa-886	70	1	k	k	PROPN
ijassa-886	70	2	′tl−kl′t	′tl−kl′t	PROPN
ijassa-886	70	3	l2	l2	NOUN
ijassa-886	70	4	=	=	SYM
ijassa-886	70	5	k	k	NOUN
ijassa-886	70	6	′t	′t	PROPN
ijassa-886	70	7	l	l	NOUN
ijassa-886	70	8	−kl′t	−kl′t	X
ijassa-886	70	9	l2	l2	NOUN
ijassa-886	70	10	=	=	PUNCT
ijassa-886	70	11	ρy	ρy	ADP
ijassa-886	70	12	−	−	NUM
ijassa-886	70	13	µk	µk	NOUN
ijassa-886	70	14	l	l	NOUN
ijassa-886	70	15	−	−	NOUN
ijassa-886	70	16	νk	νk	NOUN
ijassa-886	70	17	l	l	NOUN
ijassa-886	70	18	.	.	PUNCT
ijassa-886	71	1	this	this	DET
ijassa-886	71	2	yields	yield	NOUN
ijassa-886	71	3	equation	equation	NOUN
ijassa-886	71	4	(	(	PUNCT
ijassa-886	71	5	3.7	3.7	NUM
ijassa-886	71	6	)	)	PUNCT
ijassa-886	71	7	.	.	PUNCT
ijassa-886	72	1	the	the	DET
ijassa-886	72	2	transition	transition	NOUN
ijassa-886	72	3	mode	mode	NOUN
ijassa-886	72	4	[	[	X
ijassa-886	72	5	7	7	NUM
ijassa-886	72	6	,	,	PUNCT
ijassa-886	72	7	8	8	NUM
ijassa-886	72	8	]	]	PUNCT
ijassa-886	72	9	was	be	AUX
ijassa-886	72	10	investigated	investigate	VERB
ijassa-886	72	11	under	under	ADP
ijassa-886	72	12	assumption	assumption	NOUN
ijassa-886	72	13	that	that	SCONJ
ijassa-886	72	14	the	the	DET
ijassa-886	72	15	production	production	NOUN
ijassa-886	72	16	function	function	NOUN
ijassa-886	72	17	f	f	PROPN
ijassa-886	72	18	(	(	PUNCT
ijassa-886	72	19	k	k	X
ijassa-886	72	20	,	,	PUNCT
ijassa-886	72	21	l	l	NOUN
ijassa-886	72	22	)	)	PUNCT
ijassa-886	72	23	is	be	AUX
ijassa-886	72	24	the	the	DET
ijassa-886	72	25	cobb	cobb	PROPN
ijassa-886	72	26	-	-	PUNCT
ijassa-886	72	27	douglas	douglas	PROPN
ijassa-886	72	28	function	function	VERB
ijassa-886	72	29	[	[	X
ijassa-886	72	30	7	7	NUM
ijassa-886	72	31	,	,	PUNCT
ijassa-886	72	32	8	8	NUM
ijassa-886	72	33	,	,	PUNCT
ijassa-886	72	34	14	14	NUM
ijassa-886	72	35	]	]	PUNCT
ijassa-886	72	36	.	.	PUNCT
ijassa-886	73	1	indeed	indeed	ADV
ijassa-886	73	2	,	,	PUNCT
ijassa-886	73	3	in	in	ADP
ijassa-886	73	4	this	this	DET
ijassa-886	73	5	case	case	NOUN
ijassa-886	73	6	f(k	f(k	VERB
ijassa-886	73	7	)	)	PUNCT
ijassa-886	73	8	is	be	AUX
ijassa-886	73	9	the	the	DET
ijassa-886	73	10	power	power	NOUN
ijassa-886	73	11	function	function	NOUN
ijassa-886	73	12	with	with	ADP
ijassa-886	73	13	a	a	DET
ijassa-886	73	14	constant	constant	ADJ
ijassa-886	73	15	factor	factor	NOUN
ijassa-886	73	16	;	;	PUNCT
ijassa-886	73	17	see	see	VERB
ijassa-886	73	18	[	[	X
ijassa-886	73	19	7	7	NUM
ijassa-886	73	20	,	,	PUNCT
ijassa-886	73	21	8	8	NUM
ijassa-886	73	22	]	]	PUNCT
ijassa-886	73	23	.	.	PUNCT
ijassa-886	74	1	then	then	ADV
ijassa-886	74	2	equation	equation	NOUN
ijassa-886	74	3	(	(	PUNCT
ijassa-886	74	4	3.7	3.7	NUM
ijassa-886	74	5	)	)	PUNCT
ijassa-886	74	6	is	be	AUX
ijassa-886	74	7	explicitly	explicitly	ADV
ijassa-886	74	8	integrated	integrate	VERB
ijassa-886	74	9	,	,	PUNCT
ijassa-886	74	10	and	and	CCONJ
ijassa-886	74	11	its	its	PRON
ijassa-886	74	12	solution	solution	NOUN
ijassa-886	74	13	is	be	AUX
ijassa-886	74	14	represented	represent	VERB
ijassa-886	74	15	via	via	ADP
ijassa-886	74	16	elementary	elementary	ADJ
ijassa-886	74	17	functions	function	NOUN
ijassa-886	74	18	.	.	PUNCT
ijassa-886	75	1	if	if	SCONJ
ijassa-886	75	2	ν	ν	NOUN
ijassa-886	75	3	is	be	AUX
ijassa-886	75	4	constant	constant	ADJ
ijassa-886	75	5	,	,	PUNCT
ijassa-886	75	6	equation	equation	NOUN
ijassa-886	75	7	(	(	PUNCT
ijassa-886	75	8	3.7	3.7	NUM
ijassa-886	75	9	)	)	PUNCT
ijassa-886	75	10	has	have	VERB
ijassa-886	75	11	the	the	DET
ijassa-886	75	12	stationary	stationary	ADJ
ijassa-886	75	13	solution	solution	NOUN
ijassa-886	75	14	k	k	PROPN
ijassa-886	75	15	=	=	SYM
ijassa-886	75	16	k∗	k∗	PROPN
ijassa-886	75	17	,	,	PUNCT
ijassa-886	75	18	where	where	SCONJ
ijassa-886	75	19	k∗	k∗	PROPN
ijassa-886	75	20	is	be	AUX
ijassa-886	75	21	the	the	DET
ijassa-886	75	22	positive	positive	ADJ
ijassa-886	75	23	root	root	NOUN
ijassa-886	75	24	of	of	ADP
ijassa-886	75	25	the	the	DET
ijassa-886	75	26	equation	equation	NOUN
ijassa-886	75	27	ρf(k)−	ρf(k)−	NOUN
ijassa-886	75	28	λk	λk	ADP
ijassa-886	75	29	=	=	SYM
ijassa-886	75	30	0	0	PROPN
ijassa-886	75	31	.	.	PUNCT
ijassa-886	76	1	(	(	PUNCT
ijassa-886	76	2	3.12	3.12	NUM
ijassa-886	76	3	)	)	PUNCT
ijassa-886	76	4	here	here	ADV
ijassa-886	76	5	we	we	PRON
ijassa-886	76	6	assume	assume	VERB
ijassa-886	76	7	that	that	SCONJ
ijassa-886	76	8	k0	k0	PROPN
ijassa-886	76	9	and	and	CCONJ
ijassa-886	76	10	k∗	k∗	PROPN
ijassa-886	76	11	belong	belong	VERB
ijassa-886	76	12	to	to	ADP
ijassa-886	76	13	the	the	DET
ijassa-886	76	14	interval	interval	NOUN
ijassa-886	76	15	of	of	ADP
ijassa-886	76	16	average	average	ADJ
ijassa-886	76	17	per	per	X
ijassa-886	76	18	capita	capita	X
ijassa-886	76	19	capital	capital	NOUN
ijassa-886	76	20	under	under	ADP
ijassa-886	76	21	consideration	consideration	NOUN
ijassa-886	76	22	.	.	PUNCT
ijassa-886	77	1	for	for	ADP
ijassa-886	77	2	k	k	PROPN
ijassa-886	77	3	6=	6=	PROPN
ijassa-886	77	4	k∗	k∗	PROPN
ijassa-886	77	5	,	,	PUNCT
ijassa-886	77	6	integrating	integrate	VERB
ijassa-886	77	7	(	(	PUNCT
ijassa-886	77	8	3.7	3.7	NUM
ijassa-886	77	9	)	)	PUNCT
ijassa-886	77	10	with	with	ADP
ijassa-886	77	11	the	the	DET
ijassa-886	77	12	initial	initial	ADJ
ijassa-886	77	13	condition	condition	NOUN
ijassa-886	77	14	(	(	PUNCT
ijassa-886	77	15	3.8	3.8	NUM
ijassa-886	77	16	)	)	PUNCT
ijassa-886	77	17	,	,	PUNCT
ijassa-886	77	18	we	we	PRON
ijassa-886	77	19	obtain	obtain	VERB
ijassa-886	77	20	the	the	DET
ijassa-886	77	21	integral	integral	ADJ
ijassa-886	77	22	equation	equation	NOUN
ijassa-886	77	23	∫	∫	PROPN
ijassa-886	77	24	k	k	PROPN
ijassa-886	77	25	k0	k0	PROPN
ijassa-886	77	26	ds	ds	PROPN
ijassa-886	77	27	ρf(s)−	ρf(s)−	PROPN
ijassa-886	77	28	λs	λs	PROPN
ijassa-886	77	29	=	=	SYM
ijassa-886	77	30	t	t	PROPN
ijassa-886	77	31	(	(	PUNCT
ijassa-886	77	32	3.13	3.13	NUM
ijassa-886	77	33	)	)	PUNCT
ijassa-886	77	34	which	which	PRON
ijassa-886	77	35	determines	determine	VERB
ijassa-886	77	36	the	the	DET
ijassa-886	77	37	function	function	NOUN
ijassa-886	77	38	k	k	PROPN
ijassa-886	77	39	=	=	PUNCT
ijassa-886	77	40	k(t	k(t	PROPN
ijassa-886	77	41	)	)	PUNCT
ijassa-886	77	42	.	.	PUNCT
ijassa-886	78	1	remark	remark	VERB
ijassa-886	78	2	that	that	SCONJ
ijassa-886	78	3	formula	formula	NOUN
ijassa-886	78	4	(	(	PUNCT
ijassa-886	78	5	3.13	3.13	NUM
ijassa-886	78	6	)	)	PUNCT
ijassa-886	78	7	is	be	AUX
ijassa-886	78	8	correct	correct	ADJ
ijassa-886	78	9	if	if	SCONJ
ijassa-886	78	10	the	the	DET
ijassa-886	78	11	function	function	NOUN
ijassa-886	78	12	(	(	PUNCT
ijassa-886	78	13	ρf(s)−	ρf(s)−	PROPN
ijassa-886	78	14	λs)−1	λs)−1	PROPN
ijassa-886	78	15	is	be	AUX
ijassa-886	78	16	integrable	integrable	ADJ
ijassa-886	78	17	on	on	ADP
ijassa-886	78	18	the	the	DET
ijassa-886	78	19	corresponding	corresponding	ADJ
ijassa-886	78	20	interval	interval	NOUN
ijassa-886	78	21	.	.	PUNCT
ijassa-886	79	1	sufficient	sufficient	ADJ
ijassa-886	79	2	conditions	condition	NOUN
ijassa-886	79	3	for	for	ADP
ijassa-886	79	4	this	this	PRON
ijassa-886	79	5	can	can	AUX
ijassa-886	79	6	be	be	AUX
ijassa-886	79	7	formulated	formulate	VERB
ijassa-886	79	8	in	in	ADP
ijassa-886	79	9	several	several	ADJ
ijassa-886	79	10	ways	way	NOUN
ijassa-886	79	11	.	.	PUNCT
ijassa-886	80	1	one	one	PRON
ijassa-886	80	2	can	can	AUX
ijassa-886	80	3	impose	impose	VERB
ijassa-886	80	4	some	some	DET
ijassa-886	80	5	conditions	condition	NOUN
ijassa-886	80	6	on	on	ADP
ijassa-886	80	7	f	f	PROPN
ijassa-886	80	8	(	(	PUNCT
ijassa-886	80	9	as	as	SCONJ
ijassa-886	80	10	it	it	PRON
ijassa-886	80	11	is	be	AUX
ijassa-886	80	12	done	do	VERB
ijassa-886	80	13	in	in	ADP
ijassa-886	80	14	[	[	X
ijassa-886	80	15	11	11	NUM
ijassa-886	80	16	]	]	PUNCT
ijassa-886	80	17	)	)	PUNCT
ijassa-886	80	18	or	or	CCONJ
ijassa-886	80	19	impose	impose	VERB
ijassa-886	80	20	conditions	condition	NOUN
ijassa-886	80	21	on	on	ADP
ijassa-886	80	22	the	the	DET
ijassa-886	80	23	neoclassical	neoclassical	ADJ
ijassa-886	80	24	production	production	NOUN
ijassa-886	80	25	function	function	NOUN
ijassa-886	80	26	f	f	PROPN
ijassa-886	80	27	(	(	PUNCT
ijassa-886	80	28	k	k	X
ijassa-886	80	29	,	,	PUNCT
ijassa-886	80	30	l	l	NOUN
ijassa-886	80	31	)	)	PUNCT
ijassa-886	80	32	and	and	CCONJ
ijassa-886	80	33	use	use	NOUN
ijassa-886	80	34	(	(	PUNCT
ijassa-886	80	35	3.9	3.9	NUM
ijassa-886	80	36	)	)	PUNCT
ijassa-886	80	37	.	.	PUNCT
ijassa-886	81	1	to	to	PART
ijassa-886	81	2	satisfy	satisfy	VERB
ijassa-886	81	3	the	the	DET
ijassa-886	81	4	basic	basic	ADJ
ijassa-886	81	5	condition	condition	NOUN
ijassa-886	81	6	of	of	ADP
ijassa-886	81	7	the	the	DET
ijassa-886	81	8	transient	transient	ADJ
ijassa-886	81	9	mode	mode	NOUN
ijassa-886	81	10	in	in	ADP
ijassa-886	81	11	the	the	DET
ijassa-886	81	12	solow	solow	PROPN
ijassa-886	81	13	model	model	NOUN
ijassa-886	81	14	[	[	X
ijassa-886	81	15	7	7	NUM
ijassa-886	81	16	,	,	PUNCT
ijassa-886	81	17	8	8	NUM
ijassa-886	81	18	]	]	PUNCT
ijassa-886	81	19	k∞	k∞	PROPN
ijassa-886	82	1	=	=	PRON
ijassa-886	82	2	lim	lim	PROPN
ijassa-886	82	3	t→+∞	t→+∞	PROPN
ijassa-886	82	4	k(t	k(t	PROPN
ijassa-886	82	5	)	)	PUNCT
ijassa-886	82	6	=	=	SYM
ijassa-886	82	7	k∗	k∗	PROPN
ijassa-886	82	8	,	,	PUNCT
ijassa-886	82	9	(	(	PUNCT
ijassa-886	82	10	3.14	3.14	NUM
ijassa-886	82	11	)	)	PUNCT
ijassa-886	82	12	equation	equation	NOUN
ijassa-886	82	13	(	(	PUNCT
ijassa-886	82	14	3.12	3.12	NUM
ijassa-886	82	15	)	)	PUNCT
ijassa-886	82	16	needs	need	VERB
ijassa-886	82	17	to	to	PART
ijassa-886	82	18	have	have	VERB
ijassa-886	82	19	one	one	NUM
ijassa-886	82	20	positive	positive	ADJ
ijassa-886	82	21	root	root	NOUN
ijassa-886	82	22	k∗	k∗	NOUN
ijassa-886	82	23	on	on	ADP
ijassa-886	82	24	the	the	DET
ijassa-886	82	25	interval	interval	NOUN
ijassa-886	82	26	under	under	ADP
ijassa-886	82	27	consideration	consideration	NOUN
ijassa-886	82	28	.	.	PUNCT
ijassa-886	83	1	in	in	ADP
ijassa-886	83	2	addition	addition	NOUN
ijassa-886	83	3	,	,	PUNCT
ijassa-886	83	4	the	the	DET
ijassa-886	83	5	improper	improper	ADJ
ijassa-886	83	6	integral	integral	ADJ
ijassa-886	83	7	∫	∫	PROPN
ijassa-886	83	8	k∗	k∗	PROPN
ijassa-886	83	9	k0	k0	PROPN
ijassa-886	83	10	ds	ds	PROPN
ijassa-886	83	11	ρf(s)−	ρf(s)−	PROPN
ijassa-886	83	12	λs	λs	PROPN
ijassa-886	83	13	(	(	PUNCT
ijassa-886	83	14	3.15	3.15	NUM
ijassa-886	83	15	)	)	PUNCT
ijassa-886	83	16	needs	need	VERB
ijassa-886	83	17	to	to	PART
ijassa-886	83	18	diverge	diverge	VERB
ijassa-886	83	19	.	.	PUNCT
ijassa-886	84	1	this	this	PRON
ijassa-886	84	2	follows	follow	VERB
ijassa-886	84	3	from	from	ADP
ijassa-886	84	4	the	the	DET
ijassa-886	84	5	limit	limit	NOUN
ijassa-886	84	6	transition	transition	NOUN
ijassa-886	84	7	in	in	ADP
ijassa-886	84	8	(	(	PUNCT
ijassa-886	84	9	3.13	3.13	NUM
ijassa-886	84	10	)	)	PUNCT
ijassa-886	84	11	as	as	ADP
ijassa-886	84	12	t→	t→	PRON
ijassa-886	84	13	+	+	NOUN
ijassa-886	84	14	∞	∞	PROPN
ijassa-886	84	15	and	and	CCONJ
ijassa-886	84	16	(	(	PUNCT
ijassa-886	84	17	3.14	3.14	NUM
ijassa-886	84	18	)	)	PUNCT
ijassa-886	84	19	.	.	PUNCT
ijassa-886	85	1	therefore	therefore	ADV
ijassa-886	85	2	,	,	PUNCT
ijassa-886	85	3	for	for	ADP
ijassa-886	85	4	the	the	DET
ijassa-886	85	5	existence	existence	NOUN
ijassa-886	85	6	of	of	ADP
ijassa-886	85	7	a	a	DET
ijassa-886	85	8	transition	transition	NOUN
ijassa-886	85	9	regime	regime	NOUN
ijassa-886	85	10	in	in	ADP
ijassa-886	85	11	the	the	DET
ijassa-886	85	12	solow	solow	PROPN
ijassa-886	85	13	model	model	NOUN
ijassa-886	85	14	one	one	PRON
ijassa-886	85	15	need	need	VERB
ijassa-886	85	16	to	to	PART
ijassa-886	85	17	assume	assume	VERB
ijassa-886	85	18	that	that	SCONJ
ijassa-886	85	19	function	function	NOUN
ijassa-886	85	20	f(k	f(k	VERB
ijassa-886	85	21	)	)	PUNCT
ijassa-886	85	22	generated	generate	VERB
ijassa-886	85	23	by	by	ADP
ijassa-886	85	24	the	the	DET
ijassa-886	85	25	neoclassical	neoclassical	ADJ
ijassa-886	85	26	production	production	NOUN
ijassa-886	85	27	function	function	NOUN
ijassa-886	85	28	f	f	PROPN
ijassa-886	85	29	(	(	PUNCT
ijassa-886	85	30	k	k	X
ijassa-886	85	31	,	,	PUNCT
ijassa-886	85	32	l	l	NOUN
ijassa-886	85	33	)	)	PUNCT
ijassa-886	85	34	satisfies	satisfie	NOUN
ijassa-886	85	35	to	to	ADP
ijassa-886	85	36	copyright	copyright	NOUN
ijassa-886	85	37	©	©	PROPN
ijassa-886	85	38	2020	2020	NUM
ijassa-886	85	39	assa	assa	NOUN
ijassa-886	85	40	.	.	PUNCT
ijassa-886	86	1	adv	adv	PROPN
ijassa-886	86	2	syst	syst	PROPN
ijassa-886	86	3	sci	sci	PROPN
ijassa-886	86	4	appl	appl	PROPN
ijassa-886	86	5	(	(	PUNCT
ijassa-886	86	6	2020	2020	NUM
ijassa-886	86	7	)	)	PUNCT
ijassa-886	86	8	74	74	NUM
ijassa-886	86	9	a.p	a.p	PROPN
ijassa-886	86	10	.	.	PROPN
ijassa-886	86	11	chernyaev	chernyaev	PROPN
ijassa-886	86	12	conditions	condition	NOUN
ijassa-886	86	13	mentioned	mention	VERB
ijassa-886	86	14	above	above	ADP
ijassa-886	86	15	:	:	PUNCT
ijassa-886	86	16	the	the	DET
ijassa-886	86	17	existence	existence	NOUN
ijassa-886	86	18	of	of	ADP
ijassa-886	86	19	a	a	DET
ijassa-886	86	20	unique	unique	ADJ
ijassa-886	86	21	positive	positive	ADJ
ijassa-886	86	22	root	root	NOUN
ijassa-886	86	23	k∗	k∗	PROPN
ijassa-886	86	24	6=	6=	PROPN
ijassa-886	86	25	k0	k0	PROPN
ijassa-886	86	26	of	of	ADP
ijassa-886	86	27	equation	equation	NOUN
ijassa-886	86	28	(	(	PUNCT
ijassa-886	86	29	3.12	3.12	NUM
ijassa-886	86	30	)	)	PUNCT
ijassa-886	86	31	in	in	ADP
ijassa-886	86	32	the	the	DET
ijassa-886	86	33	interval	interval	NOUN
ijassa-886	86	34	under	under	ADP
ijassa-886	86	35	consideration	consideration	NOUN
ijassa-886	86	36	and	and	CCONJ
ijassa-886	86	37	the	the	DET
ijassa-886	86	38	divergence	divergence	NOUN
ijassa-886	86	39	of	of	ADP
ijassa-886	86	40	the	the	DET
ijassa-886	86	41	integral	integral	ADJ
ijassa-886	86	42	(	(	PUNCT
ijassa-886	86	43	3.15	3.15	NUM
ijassa-886	86	44	)	)	PUNCT
ijassa-886	86	45	.	.	PUNCT
ijassa-886	87	1	it	it	PRON
ijassa-886	87	2	is	be	AUX
ijassa-886	87	3	worth	worth	ADJ
ijassa-886	87	4	observing	observe	VERB
ijassa-886	87	5	that	that	SCONJ
ijassa-886	87	6	if	if	SCONJ
ijassa-886	87	7	the	the	DET
ijassa-886	87	8	solution	solution	NOUN
ijassa-886	87	9	to	to	ADP
ijassa-886	87	10	the	the	DET
ijassa-886	87	11	cauchy	cauchy	ADJ
ijassa-886	87	12	problem	problem	NOUN
ijassa-886	87	13	(	(	PUNCT
ijassa-886	87	14	3.7	3.7	NUM
ijassa-886	87	15	)	)	PUNCT
ijassa-886	87	16	,	,	PUNCT
ijassa-886	87	17	(	(	PUNCT
ijassa-886	87	18	3.8	3.8	NUM
ijassa-886	87	19	)	)	PUNCT
ijassa-886	87	20	is	be	AUX
ijassa-886	87	21	known	know	VERB
ijassa-886	87	22	,	,	PUNCT
ijassa-886	87	23	then	then	ADV
ijassa-886	87	24	all	all	DET
ijassa-886	87	25	endogenous	endogenous	ADJ
ijassa-886	87	26	variables	variable	NOUN
ijassa-886	87	27	can	can	AUX
ijassa-886	87	28	be	be	AUX
ijassa-886	87	29	found	find	VERB
ijassa-886	87	30	from	from	ADP
ijassa-886	87	31	the	the	DET
ijassa-886	87	32	equality	equality	NOUN
ijassa-886	87	33	y	y	PROPN
ijassa-886	87	34	=	=	SYM
ijassa-886	87	35	f	f	PROPN
ijassa-886	87	36	(	(	PUNCT
ijassa-886	87	37	k	k	X
ijassa-886	87	38	,	,	PUNCT
ijassa-886	87	39	l	l	NOUN
ijassa-886	87	40	)	)	PUNCT
ijassa-886	87	41	=	=	SYM
ijassa-886	88	1	c	c	PROPN
ijassa-886	88	2	+	+	NUM
ijassa-886	88	3	i.	i.	PROPN
ijassa-886	88	4	(	(	PUNCT
ijassa-886	88	5	3.16	3.16	NUM
ijassa-886	88	6	)	)	PUNCT
ijassa-886	88	7	here	here	ADV
ijassa-886	88	8	,	,	PUNCT
ijassa-886	88	9	the	the	DET
ijassa-886	88	10	final	final	ADJ
ijassa-886	88	11	product	product	NOUN
ijassa-886	88	12	y	y	PROPN
ijassa-886	88	13	is	be	AUX
ijassa-886	88	14	used	use	VERB
ijassa-886	88	15	for	for	ADP
ijassa-886	88	16	the	the	DET
ijassa-886	88	17	non	non	ADJ
ijassa-886	88	18	-	-	ADJ
ijassa-886	88	19	productive	productive	ADJ
ijassa-886	88	20	consumption	consumption	NOUN
ijassa-886	88	21	c	c	NOUN
ijassa-886	88	22	and	and	CCONJ
ijassa-886	88	23	the	the	DET
ijassa-886	88	24	investment	investment	NOUN
ijassa-886	89	1	i	i	PRON
ijassa-886	89	2	.	.	PUNCT
ijassa-886	90	1	now	now	ADV
ijassa-886	90	2	let	let	VERB
ijassa-886	90	3	us	we	PRON
ijassa-886	90	4	discuss	discuss	VERB
ijassa-886	90	5	the	the	DET
ijassa-886	90	6	solow	solow	PROPN
ijassa-886	90	7	model	model	NOUN
ijassa-886	90	8	with	with	ADP
ijassa-886	90	9	the	the	DET
ijassa-886	90	10	cobb	cobb	PROPN
ijassa-886	90	11	-	-	PUNCT
ijassa-886	90	12	douglas	douglas	PROPN
ijassa-886	90	13	production	production	NOUN
ijassa-886	90	14	function	function	NOUN
ijassa-886	91	1	[	[	X
ijassa-886	91	2	7,8,14	7,8,14	NUM
ijassa-886	91	3	]	]	X
ijassa-886	91	4	:	:	PUNCT
ijassa-886	91	5	f	f	X
ijassa-886	91	6	(	(	PUNCT
ijassa-886	91	7	k	k	X
ijassa-886	91	8	,	,	PUNCT
ijassa-886	91	9	l	l	NOUN
ijassa-886	91	10	)	)	PUNCT
ijassa-886	91	11	=	=	SYM
ijassa-886	91	12	akαl1−α	akαl1−α	PROPN
ijassa-886	91	13	,	,	PUNCT
ijassa-886	91	14	a	a	PRON
ijassa-886	91	15	=	=	X
ijassa-886	91	16	const	const	X
ijassa-886	91	17	>	>	X
ijassa-886	91	18	0	0	NUM
ijassa-886	91	19	,	,	PUNCT
ijassa-886	91	20	0	0	NUM
ijassa-886	91	21	<	<	X
ijassa-886	91	22	α	α	X
ijassa-886	91	23	<	<	X
ijassa-886	91	24	1	1	NUM
ijassa-886	91	25	.	.	PUNCT
ijassa-886	91	26	(	(	PUNCT
ijassa-886	91	27	3.17	3.17	NUM
ijassa-886	91	28	)	)	PUNCT
ijassa-886	91	29	substituting	substituting	NOUN
ijassa-886	91	30	(	(	PUNCT
ijassa-886	91	31	3.17	3.17	NUM
ijassa-886	91	32	)	)	PUNCT
ijassa-886	91	33	in	in	ADP
ijassa-886	91	34	formula	formula	NOUN
ijassa-886	91	35	(	(	PUNCT
ijassa-886	91	36	3.9	3.9	NUM
ijassa-886	91	37	)	)	PUNCT
ijassa-886	91	38	,	,	PUNCT
ijassa-886	91	39	we	we	PRON
ijassa-886	91	40	obtain	obtain	VERB
ijassa-886	91	41	f(k	f(k	PUNCT
ijassa-886	91	42	)	)	PUNCT
ijassa-886	92	1	=	=	SYM
ijassa-886	92	2	f	f	X
ijassa-886	92	3	(	(	PUNCT
ijassa-886	92	4	k	k	X
ijassa-886	92	5	,	,	PUNCT
ijassa-886	92	6	l	l	NOUN
ijassa-886	92	7	)	)	PUNCT
ijassa-886	92	8	l	l	NOUN
ijassa-886	93	1	=	=	SYM
ijassa-886	93	2	f	f	X
ijassa-886	93	3	(	(	PUNCT
ijassa-886	93	4	k	k	NOUN
ijassa-886	93	5	,	,	PUNCT
ijassa-886	93	6	1	1	NUM
ijassa-886	93	7	)	)	PUNCT
ijassa-886	93	8	=	=	NOUN
ijassa-886	93	9	akα	akα	NOUN
ijassa-886	93	10	.	.	PUNCT
ijassa-886	94	1	(	(	PUNCT
ijassa-886	94	2	3.18	3.18	NUM
ijassa-886	94	3	)	)	PUNCT
ijassa-886	94	4	taking	take	VERB
ijassa-886	94	5	into	into	ADP
ijassa-886	94	6	account	account	NOUN
ijassa-886	94	7	(	(	PUNCT
ijassa-886	94	8	3.18	3.18	NUM
ijassa-886	94	9	)	)	PUNCT
ijassa-886	94	10	,	,	PUNCT
ijassa-886	94	11	one	one	PRON
ijassa-886	94	12	can	can	AUX
ijassa-886	94	13	bring	bring	VERB
ijassa-886	94	14	equation	equation	NOUN
ijassa-886	94	15	(	(	PUNCT
ijassa-886	94	16	3.7	3.7	NUM
ijassa-886	94	17	)	)	PUNCT
ijassa-886	94	18	to	to	ADP
ijassa-886	94	19	the	the	DET
ijassa-886	94	20	bernoulli	bernoulli	PROPN
ijassa-886	94	21	form	form	NOUN
ijassa-886	94	22	:	:	PUNCT
ijassa-886	94	23	dk	dk	PRON
ijassa-886	94	24	dt	dt	X
ijassa-886	94	25	=	=	NUM
ijassa-886	94	26	−λk	−λk	PROPN
ijassa-886	94	27	+	+	CCONJ
ijassa-886	94	28	ρakα	ρakα	NOUN
ijassa-886	94	29	.	.	PUNCT
ijassa-886	95	1	(	(	PUNCT
ijassa-886	95	2	3.19	3.19	NUM
ijassa-886	95	3	)	)	PUNCT
ijassa-886	95	4	solving	solve	VERB
ijassa-886	95	5	equation	equation	NOUN
ijassa-886	95	6	(	(	PUNCT
ijassa-886	95	7	3.19	3.19	NUM
ijassa-886	95	8	)	)	PUNCT
ijassa-886	95	9	with	with	ADP
ijassa-886	95	10	the	the	DET
ijassa-886	95	11	initial	initial	ADJ
ijassa-886	95	12	condition	condition	NOUN
ijassa-886	95	13	(	(	PUNCT
ijassa-886	95	14	3.8	3.8	NUM
ijassa-886	95	15	)	)	PUNCT
ijassa-886	95	16	and	and	CCONJ
ijassa-886	95	17	the	the	DET
ijassa-886	95	18	additional	additional	ADJ
ijassa-886	95	19	assumption	assumption	NOUN
ijassa-886	95	20	λ	λ	X
ijassa-886	95	21	=	=	SYM
ijassa-886	95	22	const	const	PROPN
ijassa-886	95	23	,	,	PUNCT
ijassa-886	95	24	(	(	PUNCT
ijassa-886	95	25	3.20	3.20	NUM
ijassa-886	95	26	)	)	PUNCT
ijassa-886	95	27	we	we	PRON
ijassa-886	95	28	get	get	VERB
ijassa-886	95	29	k(t	k(t	NOUN
ijassa-886	95	30	)	)	PUNCT
ijassa-886	95	31	=	=	SYM
ijassa-886	95	32	e−λt	e−λt	NOUN
ijassa-886	95	33	[	[	PUNCT
ijassa-886	95	34	ρa	ρa	ADP
ijassa-886	95	35	λ	λ	X
ijassa-886	95	36	eλ(1−α)t	eλ(1−α)t	VERB
ijassa-886	95	37	−	−	PROPN
ijassa-886	95	38	ρa	ρa	ADP
ijassa-886	95	39	λ	λ	PROPN
ijassa-886	95	40	+	+	CCONJ
ijassa-886	95	41	k0	k0	PROPN
ijassa-886	95	42	1−α	1−α	NUM
ijassa-886	95	43	]	]	PUNCT
ijassa-886	95	44	1	1	NUM
ijassa-886	95	45	1−α	1−α	NUM
ijassa-886	95	46	.	.	PUNCT
ijassa-886	96	1	(	(	PUNCT
ijassa-886	96	2	3.21	3.21	NUM
ijassa-886	96	3	)	)	PUNCT
ijassa-886	96	4	let	let	VERB
ijassa-886	96	5	us	we	PRON
ijassa-886	96	6	find	find	VERB
ijassa-886	96	7	the	the	DET
ijassa-886	96	8	capital	capital	NOUN
ijassa-886	96	9	intensity	intensity	NOUN
ijassa-886	96	10	of	of	ADP
ijassa-886	96	11	the	the	DET
ijassa-886	96	12	income	income	NOUN
ijassa-886	96	13	growth	growth	NOUN
ijassa-886	96	14	for	for	ADP
ijassa-886	96	15	(	(	PUNCT
ijassa-886	96	16	3.21	3.21	NUM
ijassa-886	96	17	)	)	PUNCT
ijassa-886	96	18	,	,	PUNCT
ijassa-886	96	19	that	that	ADV
ijassa-886	96	20	is	is	ADV
ijassa-886	96	21	,	,	PUNCT
ijassa-886	96	22	for	for	ADP
ijassa-886	96	23	the	the	DET
ijassa-886	96	24	average	average	ADJ
ijassa-886	96	25	per	per	X
ijassa-886	96	26	capita	capita	X
ijassa-886	96	27	capital	capital	NOUN
ijassa-886	96	28	in	in	ADP
ijassa-886	96	29	the	the	DET
ijassa-886	96	30	solow	solow	PROPN
ijassa-886	96	31	economic	economic	ADJ
ijassa-886	96	32	growth	growth	NOUN
ijassa-886	96	33	model	model	NOUN
ijassa-886	96	34	with	with	ADP
ijassa-886	96	35	the	the	DET
ijassa-886	96	36	cobb	cobb	PROPN
ijassa-886	96	37	-	-	PUNCT
ijassa-886	96	38	douglas	douglas	PROPN
ijassa-886	96	39	production	production	NOUN
ijassa-886	96	40	function	function	NOUN
ijassa-886	96	41	(	(	PUNCT
ijassa-886	96	42	3.17	3.17	NUM
ijassa-886	96	43	)	)	PUNCT
ijassa-886	96	44	and	and	CCONJ
ijassa-886	96	45	the	the	DET
ijassa-886	96	46	additional	additional	ADJ
ijassa-886	96	47	condition	condition	NOUN
ijassa-886	96	48	(	(	PUNCT
ijassa-886	96	49	3.20	3.20	NUM
ijassa-886	96	50	)	)	PUNCT
ijassa-886	96	51	.	.	PUNCT
ijassa-886	97	1	using	use	VERB
ijassa-886	97	2	the	the	DET
ijassa-886	97	3	basic	basic	ADJ
ijassa-886	97	4	premise	premise	NOUN
ijassa-886	97	5	of	of	ADP
ijassa-886	97	6	the	the	DET
ijassa-886	97	7	harrod	harrod	NOUN
ijassa-886	97	8	-	-	PUNCT
ijassa-886	97	9	domar	domar	NOUN
ijassa-886	97	10	model	model	NOUN
ijassa-886	97	11	,	,	PUNCT
ijassa-886	97	12	the	the	DET
ijassa-886	97	13	definition	definition	NOUN
ijassa-886	97	14	of	of	ADP
ijassa-886	97	15	the	the	DET
ijassa-886	97	16	solow	solow	PROPN
ijassa-886	97	17	model	model	PROPN
ijassa-886	97	18	accumulation	accumulation	NOUN
ijassa-886	97	19	norm	norm	NOUN
ijassa-886	97	20	and	and	CCONJ
ijassa-886	97	21	the	the	DET
ijassa-886	97	22	balance	balance	NOUN
ijassa-886	97	23	formula	formula	NOUN
ijassa-886	97	24	(	(	PUNCT
ijassa-886	97	25	3.16	3.16	NUM
ijassa-886	97	26	)	)	PUNCT
ijassa-886	97	27	,	,	PUNCT
ijassa-886	97	28	we	we	PRON
ijassa-886	97	29	have	have	VERB
ijassa-886	97	30	i(t	i(t	NOUN
ijassa-886	97	31	)	)	PUNCT
ijassa-886	97	32	=	=	PUNCT
ijassa-886	97	33	by	by	ADP
ijassa-886	97	34	′(t	′(t	NOUN
ijassa-886	97	35	)	)	PUNCT
ijassa-886	97	36	=	=	PUNCT
ijassa-886	97	37	ρy	ρy	NOUN
ijassa-886	97	38	,	,	PUNCT
ijassa-886	97	39	(	(	PUNCT
ijassa-886	97	40	3.22	3.22	NUM
ijassa-886	97	41	)	)	PUNCT
ijassa-886	97	42	that	that	PRON
ijassa-886	97	43	is	be	AUX
ijassa-886	97	44	,	,	PUNCT
ijassa-886	97	45	y	y	PROPN
ijassa-886	97	46	′(t	′(t	PROPN
ijassa-886	97	47	)	)	PUNCT
ijassa-886	97	48	=	=	PROPN
ijassa-886	97	49	ρ	ρ	PROPN
ijassa-886	97	50	b(t	b(t	PROPN
ijassa-886	97	51	)	)	PUNCT
ijassa-886	97	52	y	y	PROPN
ijassa-886	97	53	(	(	PUNCT
ijassa-886	97	54	t	t	PROPN
ijassa-886	97	55	)	)	PUNCT
ijassa-886	97	56	.	.	PUNCT
ijassa-886	98	1	(	(	PUNCT
ijassa-886	98	2	3.23	3.23	NUM
ijassa-886	98	3	)	)	PUNCT
ijassa-886	98	4	integrating	integrating	NOUN
ijassa-886	98	5	(	(	PUNCT
ijassa-886	98	6	3.23	3.23	NUM
ijassa-886	98	7	)	)	PUNCT
ijassa-886	98	8	,	,	PUNCT
ijassa-886	98	9	we	we	PRON
ijassa-886	98	10	get	get	VERB
ijassa-886	98	11	y	y	PROPN
ijassa-886	98	12	(	(	PUNCT
ijassa-886	98	13	t	t	PROPN
ijassa-886	98	14	)	)	PUNCT
ijassa-886	98	15	=	=	PUNCT
ijassa-886	99	1	e	e	PROPN
ijassa-886	99	2	ρ	ρ	PROPN
ijassa-886	99	3	∫	∫	PROPN
ijassa-886	99	4	t	t	PROPN
ijassa-886	99	5	t0	t0	PROPN
ijassa-886	99	6	ds	ds	PRON
ijassa-886	99	7	b(s	b(	NOUN
ijassa-886	99	8	)	)	PUNCT
ijassa-886	99	9	,	,	PUNCT
ijassa-886	99	10	where	where	SCONJ
ijassa-886	99	11	the	the	DET
ijassa-886	99	12	exponent	exponent	NOUN
ijassa-886	99	13	is	be	AUX
ijassa-886	99	14	the	the	DET
ijassa-886	99	15	indicator	indicator	NOUN
ijassa-886	99	16	of	of	ADP
ijassa-886	99	17	the	the	DET
ijassa-886	99	18	income	income	NOUN
ijassa-886	99	19	growth	growth	NOUN
ijassa-886	99	20	.	.	PUNCT
ijassa-886	100	1	theorem	theorem	VERB
ijassa-886	100	2	3.1	3.1	NUM
ijassa-886	100	3	:	:	PUNCT
ijassa-886	100	4	under	under	ADP
ijassa-886	100	5	the	the	DET
ijassa-886	100	6	above	above	ADJ
ijassa-886	100	7	assumptions	assumption	NOUN
ijassa-886	100	8	,	,	PUNCT
ijassa-886	100	9	the	the	DET
ijassa-886	100	10	capital	capital	NOUN
ijassa-886	100	11	intensity	intensity	NOUN
ijassa-886	100	12	of	of	ADP
ijassa-886	100	13	the	the	DET
ijassa-886	100	14	income	income	NOUN
ijassa-886	100	15	growth	growth	NOUN
ijassa-886	100	16	is	be	AUX
ijassa-886	100	17	given	give	VERB
ijassa-886	100	18	by	by	ADP
ijassa-886	100	19	the	the	DET
ijassa-886	100	20	following	follow	VERB
ijassa-886	100	21	formula	formula	NOUN
ijassa-886	100	22	:	:	PUNCT
ijassa-886	100	23	b(t	b(t	NOUN
ijassa-886	100	24	)	)	PUNCT
ijassa-886	100	25	=	=	SYM
ijassa-886	100	26	i(t	i(t	PROPN
ijassa-886	100	27	)	)	PUNCT
ijassa-886	100	28	y	y	PROPN
ijassa-886	100	29	′(t	′(t	PROPN
ijassa-886	100	30	)	)	PUNCT
ijassa-886	100	31	=	=	PUNCT
ijassa-886	101	1	ρf	ρf	X
ijassa-886	101	2	(	(	PUNCT
ijassa-886	101	3	k	k	X
ijassa-886	101	4	,	,	PUNCT
ijassa-886	101	5	l	l	NOUN
ijassa-886	101	6	)	)	PUNCT
ijassa-886	101	7	d	d	NOUN
ijassa-886	101	8	dt	dt	X
ijassa-886	102	1	[	[	X
ijassa-886	102	2	f	f	X
ijassa-886	102	3	(	(	PUNCT
ijassa-886	102	4	k	k	X
ijassa-886	102	5	,	,	PUNCT
ijassa-886	102	6	l	l	NOUN
ijassa-886	102	7	)	)	PUNCT
ijassa-886	102	8	]	]	PUNCT
ijassa-886	102	9	=	=	PUNCT
ijassa-886	102	10	ρk	ρk	X
ijassa-886	102	11	(	(	PUNCT
ijassa-886	102	12	ν	ν	X
ijassa-886	102	13	−	−	NOUN
ijassa-886	102	14	αν	αν	INTJ
ijassa-886	102	15	−	−	PROPN
ijassa-886	102	16	αµ)k	αµ)k	ADV
ijassa-886	102	17	+	+	NUM
ijassa-886	102	18	αρakα	αρakα	NOUN
ijassa-886	102	19	.	.	PUNCT
ijassa-886	103	1	(	(	PUNCT
ijassa-886	103	2	3.24	3.24	NUM
ijassa-886	103	3	)	)	PUNCT
ijassa-886	103	4	copyright	copyright	NOUN
ijassa-886	103	5	©	©	PROPN
ijassa-886	103	6	2020	2020	NUM
ijassa-886	103	7	assa	assa	NOUN
ijassa-886	103	8	.	.	PUNCT
ijassa-886	104	1	adv	adv	PROPN
ijassa-886	104	2	syst	syst	PROPN
ijassa-886	104	3	sci	sci	PROPN
ijassa-886	104	4	appl	appl	PROPN
ijassa-886	104	5	(	(	PUNCT
ijassa-886	104	6	2020	2020	NUM
ijassa-886	104	7	)	)	PUNCT
ijassa-886	104	8	dynamic	dynamic	ADJ
ijassa-886	104	9	models	model	NOUN
ijassa-886	104	10	of	of	ADP
ijassa-886	104	11	economic	economic	ADJ
ijassa-886	104	12	growth	growth	NOUN
ijassa-886	104	13	75	75	NUM
ijassa-886	104	14	proof	proof	NOUN
ijassa-886	104	15	from	from	ADP
ijassa-886	104	16	(	(	PUNCT
ijassa-886	104	17	3.22	3.22	NUM
ijassa-886	104	18	)	)	PUNCT
ijassa-886	104	19	and	and	CCONJ
ijassa-886	104	20	(	(	PUNCT
ijassa-886	104	21	3.16	3.16	NUM
ijassa-886	104	22	)	)	PUNCT
ijassa-886	104	23	,	,	PUNCT
ijassa-886	104	24	we	we	PRON
ijassa-886	104	25	have	have	VERB
ijassa-886	104	26	b(t	b(t	VERB
ijassa-886	104	27	)	)	PUNCT
ijassa-886	104	28	=	=	SYM
ijassa-886	104	29	i(t	i(t	PROPN
ijassa-886	104	30	)	)	PUNCT
ijassa-886	104	31	y	y	PROPN
ijassa-886	104	32	′(t	′(t	PROPN
ijassa-886	104	33	)	)	PUNCT
ijassa-886	104	34	=	=	PUNCT
ijassa-886	104	35	ρy	ρy	X
ijassa-886	104	36	(	(	PUNCT
ijassa-886	104	37	t	t	NOUN
ijassa-886	104	38	)	)	PUNCT
ijassa-886	104	39	y	y	PROPN
ijassa-886	104	40	′(t	′(t	PROPN
ijassa-886	104	41	)	)	PUNCT
ijassa-886	104	42	=	=	PUNCT
ijassa-886	105	1	ρf	ρf	X
ijassa-886	105	2	(	(	PUNCT
ijassa-886	105	3	k	k	X
ijassa-886	105	4	,	,	PUNCT
ijassa-886	105	5	l	l	NOUN
ijassa-886	105	6	)	)	PUNCT
ijassa-886	105	7	d	d	NOUN
ijassa-886	105	8	dt	dt	X
ijassa-886	106	1	[	[	X
ijassa-886	106	2	f	f	X
ijassa-886	106	3	(	(	PUNCT
ijassa-886	106	4	k	k	X
ijassa-886	106	5	,	,	PUNCT
ijassa-886	106	6	l	l	NOUN
ijassa-886	106	7	)	)	PUNCT
ijassa-886	106	8	]	]	PUNCT
ijassa-886	106	9	.	.	PUNCT
ijassa-886	107	1	using	use	VERB
ijassa-886	107	2	formula	formula	NOUN
ijassa-886	107	3	(	(	PUNCT
ijassa-886	107	4	3.17	3.17	NUM
ijassa-886	107	5	)	)	PUNCT
ijassa-886	107	6	and	and	CCONJ
ijassa-886	107	7	multiplying	multiply	VERB
ijassa-886	107	8	the	the	DET
ijassa-886	107	9	numerator	numerator	NOUN
ijassa-886	107	10	and	and	CCONJ
ijassa-886	107	11	the	the	DET
ijassa-886	107	12	denominator	denominator	NOUN
ijassa-886	107	13	of	of	ADP
ijassa-886	107	14	the	the	DET
ijassa-886	107	15	right	right	ADJ
ijassa-886	107	16	hand	hand	NOUN
ijassa-886	107	17	side	side	NOUN
ijassa-886	107	18	by	by	ADP
ijassa-886	107	19	a−1lαk1−α	a−1lαk1−α	PROPN
ijassa-886	107	20	,	,	PUNCT
ijassa-886	107	21	one	one	PRON
ijassa-886	107	22	can	can	AUX
ijassa-886	107	23	write	write	VERB
ijassa-886	107	24	the	the	DET
ijassa-886	107	25	latter	latter	ADJ
ijassa-886	107	26	equality	equality	NOUN
ijassa-886	107	27	in	in	ADP
ijassa-886	107	28	the	the	DET
ijassa-886	107	29	form	form	NOUN
ijassa-886	107	30	b(t	b(t	NOUN
ijassa-886	107	31	)	)	PUNCT
ijassa-886	108	1	=	=	SYM
ijassa-886	108	2	ρkl	ρkl	NOUN
ijassa-886	108	3	αldk	αldk	ADJ
ijassa-886	108	4	dt	dt	X
ijassa-886	109	1	+	+	CCONJ
ijassa-886	109	2	(	(	PUNCT
ijassa-886	109	3	1−	1−	NUM
ijassa-886	109	4	α)k	α)k	NOUN
ijassa-886	109	5	dl	dl	PROPN
ijassa-886	109	6	dt	dt	X
ijassa-886	109	7	.	.	PUNCT
ijassa-886	110	1	applying	apply	VERB
ijassa-886	110	2	the	the	DET
ijassa-886	110	3	formulas	formula	NOUN
ijassa-886	110	4	(	(	PUNCT
ijassa-886	110	5	3.10	3.10	NUM
ijassa-886	110	6	)	)	PUNCT
ijassa-886	110	7	and	and	CCONJ
ijassa-886	110	8	(	(	PUNCT
ijassa-886	110	9	3.11	3.11	NUM
ijassa-886	110	10	)	)	PUNCT
ijassa-886	110	11	to	to	ADP
ijassa-886	110	12	the	the	DET
ijassa-886	110	13	right	right	ADJ
ijassa-886	110	14	hand	hand	NOUN
ijassa-886	110	15	side	side	NOUN
ijassa-886	110	16	of	of	ADP
ijassa-886	110	17	this	this	DET
ijassa-886	110	18	equality	equality	NOUN
ijassa-886	110	19	,	,	PUNCT
ijassa-886	110	20	we	we	PRON
ijassa-886	110	21	obtain	obtain	VERB
ijassa-886	110	22	b(t	b(t	NOUN
ijassa-886	110	23	)	)	PUNCT
ijassa-886	111	1	=	=	PUNCT
ijassa-886	112	1	ρkl	ρkl	NOUN
ijassa-886	112	2	αl(ρy	αl(ρy	PROPN
ijassa-886	112	3	−	−	PROPN
ijassa-886	112	4	µk	µk	NOUN
ijassa-886	112	5	)	)	PUNCT
ijassa-886	112	6	+	+	NUM
ijassa-886	112	7	ν(1−	ν(1−	PROPN
ijassa-886	112	8	α)kl	α)kl	PROPN
ijassa-886	112	9	.	.	PUNCT
ijassa-886	113	1	finally	finally	ADV
ijassa-886	113	2	,	,	PUNCT
ijassa-886	113	3	taking	take	VERB
ijassa-886	113	4	into	into	ADP
ijassa-886	113	5	account	account	NOUN
ijassa-886	113	6	(	(	PUNCT
ijassa-886	113	7	3.16	3.16	NUM
ijassa-886	113	8	)	)	PUNCT
ijassa-886	113	9	,	,	PUNCT
ijassa-886	113	10	(	(	PUNCT
ijassa-886	113	11	3.17	3.17	NUM
ijassa-886	113	12	)	)	PUNCT
ijassa-886	113	13	and	and	CCONJ
ijassa-886	113	14	multiplying	multiply	VERB
ijassa-886	113	15	the	the	DET
ijassa-886	113	16	numerator	numerator	NOUN
ijassa-886	113	17	and	and	CCONJ
ijassa-886	113	18	denominator	denominator	NOUN
ijassa-886	113	19	of	of	ADP
ijassa-886	113	20	the	the	DET
ijassa-886	113	21	right	right	ADJ
ijassa-886	113	22	hand	hand	NOUN
ijassa-886	113	23	side	side	NOUN
ijassa-886	113	24	by	by	ADP
ijassa-886	113	25	l−2	l−2	PROPN
ijassa-886	113	26	,	,	PUNCT
ijassa-886	113	27	we	we	PRON
ijassa-886	113	28	have	have	VERB
ijassa-886	113	29	b(t	b(t	VERB
ijassa-886	113	30	)	)	PUNCT
ijassa-886	114	1	=	=	SYM
ijassa-886	114	2	ρ(k	ρ(k	PROPN
ijassa-886	114	3	/	/	SYM
ijassa-886	114	4	l	l	NOUN
ijassa-886	114	5	)	)	PUNCT
ijassa-886	114	6	αρa(k	αρa(k	PROPN
ijassa-886	114	7	/	/	SYM
ijassa-886	114	8	l)α	l)α	NOUN
ijassa-886	114	9	+	+	CCONJ
ijassa-886	114	10	(	(	PUNCT
ijassa-886	114	11	ν	ν	X
ijassa-886	114	12	−	−	PROPN
ijassa-886	114	13	αµ−	αµ−	PROPN
ijassa-886	114	14	αν)(k	αν)(k	PROPN
ijassa-886	114	15	/	/	SYM
ijassa-886	114	16	l	l	NOUN
ijassa-886	114	17	)	)	PUNCT
ijassa-886	114	18	.	.	PUNCT
ijassa-886	115	1	to	to	PART
ijassa-886	115	2	complete	complete	VERB
ijassa-886	115	3	the	the	DET
ijassa-886	115	4	proof	proof	NOUN
ijassa-886	115	5	,	,	PUNCT
ijassa-886	115	6	recall	recall	VERB
ijassa-886	115	7	the	the	DET
ijassa-886	115	8	definition	definition	NOUN
ijassa-886	115	9	of	of	ADP
ijassa-886	115	10	the	the	DET
ijassa-886	115	11	average	average	ADJ
ijassa-886	115	12	per	per	ADP
ijassa-886	115	13	capita	capita	X
ijassa-886	115	14	capital	capital	NOUN
ijassa-886	115	15	:	:	PUNCT
ijassa-886	116	1	k	k	X
ijassa-886	116	2	=	=	SYM
ijassa-886	116	3	k	k	PROPN
ijassa-886	116	4	/	/	SYM
ijassa-886	116	5	l.	l.	PROPN
ijassa-886	116	6	remark	remark	PROPN
ijassa-886	116	7	3.1	3.1	NUM
ijassa-886	116	8	:	:	PUNCT
ijassa-886	116	9	formula	formula	NOUN
ijassa-886	116	10	(	(	PUNCT
ijassa-886	116	11	3.24	3.24	NUM
ijassa-886	116	12	)	)	PUNCT
ijassa-886	116	13	justifies	justify	VERB
ijassa-886	116	14	the	the	DET
ijassa-886	116	15	assumption	assumption	NOUN
ijassa-886	116	16	that	that	SCONJ
ijassa-886	116	17	the	the	DET
ijassa-886	116	18	capital	capital	NOUN
ijassa-886	116	19	intensity	intensity	NOUN
ijassa-886	116	20	of	of	ADP
ijassa-886	116	21	the	the	DET
ijassa-886	116	22	income	income	NOUN
ijassa-886	116	23	growth	growth	NOUN
ijassa-886	116	24	depends	depend	VERB
ijassa-886	116	25	on	on	ADP
ijassa-886	116	26	time	time	NOUN
ijassa-886	116	27	.	.	PUNCT
ijassa-886	117	1	remark	remark	VERB
ijassa-886	117	2	3.2	3.2	NUM
ijassa-886	117	3	:	:	PUNCT
ijassa-886	117	4	equation	equation	NOUN
ijassa-886	117	5	(	(	PUNCT
ijassa-886	117	6	3.19	3.19	NUM
ijassa-886	117	7	)	)	PUNCT
ijassa-886	117	8	can	can	AUX
ijassa-886	117	9	be	be	AUX
ijassa-886	117	10	considered	consider	VERB
ijassa-886	117	11	without	without	ADP
ijassa-886	117	12	assumption	assumption	NOUN
ijassa-886	117	13	(	(	PUNCT
ijassa-886	117	14	3.20	3.20	NUM
ijassa-886	117	15	)	)	PUNCT
ijassa-886	117	16	,	,	PUNCT
ijassa-886	118	1	i.e.	i.e.	X
ijassa-886	118	2	,	,	PUNCT
ijassa-886	118	3	λ	λ	X
ijassa-886	118	4	=	=	PUNCT
ijassa-886	118	5	λ(t	λ(t	NOUN
ijassa-886	118	6	)	)	PUNCT
ijassa-886	118	7	is	be	AUX
ijassa-886	118	8	an	an	DET
ijassa-886	118	9	arbitrary	arbitrary	ADJ
ijassa-886	118	10	integrable	integrable	ADJ
ijassa-886	118	11	function	function	NOUN
ijassa-886	118	12	.	.	PUNCT
ijassa-886	119	1	this	this	PRON
ijassa-886	119	2	makes	make	VERB
ijassa-886	119	3	sense	sense	NOUN
ijassa-886	119	4	,	,	PUNCT
ijassa-886	119	5	because	because	SCONJ
ijassa-886	119	6	the	the	DET
ijassa-886	119	7	annual	annual	ADJ
ijassa-886	119	8	growth	growth	NOUN
ijassa-886	119	9	rate	rate	NOUN
ijassa-886	119	10	of	of	ADP
ijassa-886	119	11	the	the	DET
ijassa-886	119	12	employment	employment	NOUN
ijassa-886	119	13	(	(	PUNCT
ijassa-886	119	14	growth	growth	NOUN
ijassa-886	119	15	rate	rate	NOUN
ijassa-886	119	16	of	of	ADP
ijassa-886	119	17	the	the	DET
ijassa-886	119	18	labour	labour	ADJ
ijassa-886	119	19	force	force	NOUN
ijassa-886	119	20	(	(	PUNCT
ijassa-886	119	21	3.10	3.10	NUM
ijassa-886	119	22	)	)	PUNCT
ijassa-886	119	23	)	)	PUNCT
ijassa-886	119	24	is	be	AUX
ijassa-886	119	25	not	not	PART
ijassa-886	119	26	constant	constant	ADJ
ijassa-886	119	27	.	.	PUNCT
ijassa-886	120	1	remark	remark	VERB
ijassa-886	120	2	3.3	3.3	NUM
ijassa-886	120	3	:	:	PUNCT
ijassa-886	120	4	in	in	ADP
ijassa-886	120	5	the	the	DET
ijassa-886	120	6	case	case	NOUN
ijassa-886	120	7	λ	λ	X
ijassa-886	120	8	=	=	PUNCT
ijassa-886	120	9	λ(t	λ(t	PROPN
ijassa-886	120	10	)	)	PUNCT
ijassa-886	120	11	,	,	PUNCT
ijassa-886	120	12	the	the	DET
ijassa-886	120	13	solution	solution	NOUN
ijassa-886	120	14	of	of	ADP
ijassa-886	120	15	bernoulli	bernoulli	NOUN
ijassa-886	120	16	equation	equation	NOUN
ijassa-886	120	17	(	(	PUNCT
ijassa-886	120	18	3.19	3.19	NUM
ijassa-886	120	19	)	)	PUNCT
ijassa-886	120	20	with	with	ADP
ijassa-886	120	21	the	the	DET
ijassa-886	120	22	initial	initial	ADJ
ijassa-886	120	23	condition	condition	NOUN
ijassa-886	120	24	(	(	PUNCT
ijassa-886	120	25	3.8	3.8	NUM
ijassa-886	120	26	)	)	PUNCT
ijassa-886	120	27	is	be	AUX
ijassa-886	120	28	given	give	VERB
ijassa-886	120	29	by	by	ADP
ijassa-886	120	30	the	the	DET
ijassa-886	120	31	formula	formula	NOUN
ijassa-886	120	32	k(t	k(t	NOUN
ijassa-886	120	33	)	)	PUNCT
ijassa-886	120	34	=	=	PUNCT
ijassa-886	121	1	e−	e−	NUM
ijassa-886	121	2	∫	∫	PROPN
ijassa-886	121	3	t	t	PROPN
ijassa-886	121	4	0	0	NUM
ijassa-886	122	1	λ(τ)dτ	λ(τ)dτ	PROPN
ijassa-886	122	2	[	[	PUNCT
ijassa-886	122	3	ρa(1−	ρa(1−	PROPN
ijassa-886	122	4	α	α	NUM
ijassa-886	122	5	)	)	PUNCT
ijassa-886	122	6	∫	∫	PROPN
ijassa-886	122	7	t	t	PROPN
ijassa-886	122	8	0	0	NUM
ijassa-886	122	9	e(1−α	e(1−α	PROPN
ijassa-886	122	10	)	)	PUNCT
ijassa-886	122	11	∫	∫	PROPN
ijassa-886	122	12	s	s	PART
ijassa-886	122	13	0	0	NUM
ijassa-886	122	14	λ(τ)dτds+	λ(τ)dτds+	SYM
ijassa-886	122	15	k0	k0	PROPN
ijassa-886	122	16	1−α	1−α	NUM
ijassa-886	123	1	]	]	PUNCT
ijassa-886	123	2	1	1	NUM
ijassa-886	123	3	1−α	1−α	NUM
ijassa-886	123	4	.	.	PUNCT
ijassa-886	124	1	4	4	X
ijassa-886	124	2	.	.	X
ijassa-886	124	3	optimal	optimal	ADJ
ijassa-886	124	4	consumption	consumption	NOUN
ijassa-886	124	5	in	in	ADP
ijassa-886	124	6	the	the	DET
ijassa-886	124	7	extended	extended	ADJ
ijassa-886	124	8	harrod	harrod	NOUN
ijassa-886	124	9	-	-	PUNCT
ijassa-886	124	10	domar	domar	NOUN
ijassa-886	124	11	model	model	NOUN
ijassa-886	124	12	in	in	ADP
ijassa-886	124	13	the	the	DET
ijassa-886	124	14	extended	extended	ADJ
ijassa-886	124	15	harrod	harrod	NOUN
ijassa-886	124	16	-	-	PUNCT
ijassa-886	124	17	domar	domar	NOUN
ijassa-886	124	18	model	model	NOUN
ijassa-886	124	19	,	,	PUNCT
ijassa-886	124	20	formula	formula	NOUN
ijassa-886	124	21	(	(	PUNCT
ijassa-886	124	22	2.6	2.6	NUM
ijassa-886	124	23	)	)	PUNCT
ijassa-886	124	24	determines	determine	VERB
ijassa-886	124	25	the	the	DET
ijassa-886	124	26	income	income	NOUN
ijassa-886	124	27	through	through	ADP
ijassa-886	124	28	the	the	DET
ijassa-886	124	29	consumption	consumption	NOUN
ijassa-886	124	30	.	.	PUNCT
ijassa-886	125	1	a	a	DET
ijassa-886	125	2	natural	natural	ADJ
ijassa-886	125	3	question	question	NOUN
ijassa-886	125	4	:	:	PUNCT
ijassa-886	125	5	how	how	SCONJ
ijassa-886	125	6	to	to	PART
ijassa-886	125	7	find	find	VERB
ijassa-886	125	8	the	the	DET
ijassa-886	125	9	consumption	consumption	NOUN
ijassa-886	125	10	?	?	PUNCT
ijassa-886	126	1	from	from	ADP
ijassa-886	126	2	the	the	DET
ijassa-886	126	3	mathematical	mathematical	ADJ
ijassa-886	126	4	viewpoint	viewpoint	NOUN
ijassa-886	126	5	,	,	PUNCT
ijassa-886	126	6	this	this	DET
ijassa-886	126	7	question	question	NOUN
ijassa-886	126	8	can	can	AUX
ijassa-886	126	9	be	be	AUX
ijassa-886	126	10	formulated	formulate	VERB
ijassa-886	126	11	as	as	ADP
ijassa-886	126	12	an	an	DET
ijassa-886	126	13	optimal	optimal	ADJ
ijassa-886	126	14	control	control	NOUN
ijassa-886	126	15	problem	problem	NOUN
ijassa-886	126	16	.	.	PUNCT
ijassa-886	127	1	we	we	PRON
ijassa-886	127	2	consider	consider	VERB
ijassa-886	127	3	this	this	DET
ijassa-886	127	4	problem	problem	NOUN
ijassa-886	127	5	is	be	AUX
ijassa-886	127	6	the	the	DET
ijassa-886	127	7	most	most	ADV
ijassa-886	127	8	general	general	ADJ
ijassa-886	127	9	form	form	NOUN
ijassa-886	127	10	,	,	PUNCT
ijassa-886	127	11	as	as	ADP
ijassa-886	127	12	the	the	DET
ijassa-886	127	13	problem	problem	NOUN
ijassa-886	127	14	of	of	ADP
ijassa-886	127	15	maximizing	maximize	VERB
ijassa-886	127	16	the	the	DET
ijassa-886	127	17	integral	integral	ADJ
ijassa-886	127	18	discounted	discount	VERB
ijassa-886	127	19	utility	utility	NOUN
ijassa-886	127	20	of	of	ADP
ijassa-886	127	21	the	the	DET
ijassa-886	127	22	consumption	consumption	NOUN
ijassa-886	127	23	[	[	X
ijassa-886	127	24	17	17	NUM
ijassa-886	127	25	,	,	PUNCT
ijassa-886	127	26	18]:∫	18]:∫	PROPN
ijassa-886	127	27	t1	t1	PROPN
ijassa-886	127	28	t0	t0	PROPN
ijassa-886	127	29	u(c(t	u(c(t	PROPN
ijassa-886	127	30	)	)	PUNCT
ijassa-886	127	31	)	)	PUNCT
ijassa-886	128	1	exp(−δt)dt⇒	exp(−δt)dt⇒	PROPN
ijassa-886	128	2	max	max	PROPN
ijassa-886	128	3	,	,	PUNCT
ijassa-886	128	4	(	(	PUNCT
ijassa-886	128	5	4.25	4.25	NUM
ijassa-886	128	6	)	)	PUNCT
ijassa-886	128	7	where	where	SCONJ
ijassa-886	128	8	δ	δ	X
ijassa-886	128	9	>	>	X
ijassa-886	128	10	0	0	NUM
ijassa-886	128	11	is	be	AUX
ijassa-886	128	12	the	the	DET
ijassa-886	128	13	discount	discount	NOUN
ijassa-886	128	14	factor	factor	NOUN
ijassa-886	128	15	.	.	PUNCT
ijassa-886	129	1	here	here	ADV
ijassa-886	129	2	we	we	PRON
ijassa-886	129	3	use	use	VERB
ijassa-886	129	4	the	the	DET
ijassa-886	129	5	analogy	analogy	NOUN
ijassa-886	129	6	with	with	ADP
ijassa-886	129	7	problems	problem	NOUN
ijassa-886	129	8	of	of	ADP
ijassa-886	129	9	optimal	optimal	ADJ
ijassa-886	129	10	consumption	consumption	NOUN
ijassa-886	129	11	management	management	NOUN
ijassa-886	129	12	in	in	ADP
ijassa-886	129	13	the	the	DET
ijassa-886	129	14	household	household	NOUN
ijassa-886	129	15	economy	economy	NOUN
ijassa-886	129	16	,	,	PUNCT
ijassa-886	129	17	see	see	VERB
ijassa-886	129	18	[	[	X
ijassa-886	129	19	19	19	NUM
ijassa-886	129	20	]	]	PUNCT
ijassa-886	129	21	–	–	PUNCT
ijassa-886	130	1	[	[	X
ijassa-886	130	2	23	23	NUM
ijassa-886	130	3	]	]	PUNCT
ijassa-886	130	4	.	.	PUNCT
ijassa-886	131	1	following	follow	VERB
ijassa-886	131	2	[	[	X
ijassa-886	131	3	19	19	NUM
ijassa-886	131	4	]	]	PUNCT
ijassa-886	131	5	–	–	PUNCT
ijassa-886	131	6	[	[	X
ijassa-886	131	7	21	21	NUM
ijassa-886	131	8	]	]	PUNCT
ijassa-886	131	9	,	,	PUNCT
ijassa-886	131	10	copyright	copyright	NOUN
ijassa-886	131	11	©	©	PROPN
ijassa-886	131	12	2020	2020	NUM
ijassa-886	131	13	assa	assa	NOUN
ijassa-886	131	14	.	.	PUNCT
ijassa-886	132	1	adv	adv	PROPN
ijassa-886	132	2	syst	syst	PROPN
ijassa-886	132	3	sci	sci	PROPN
ijassa-886	132	4	appl	appl	PROPN
ijassa-886	132	5	(	(	PUNCT
ijassa-886	132	6	2020	2020	NUM
ijassa-886	132	7	)	)	PUNCT
ijassa-886	132	8	76	76	NUM
ijassa-886	132	9	a.p	a.p	PROPN
ijassa-886	132	10	.	.	PROPN
ijassa-886	132	11	chernyaev	chernyaev	PROPN
ijassa-886	133	1	we	we	PRON
ijassa-886	133	2	suppose	suppose	VERB
ijassa-886	133	3	that	that	SCONJ
ijassa-886	133	4	the	the	DET
ijassa-886	133	5	utility	utility	NOUN
ijassa-886	133	6	of	of	ADP
ijassa-886	133	7	consumption	consumption	NOUN
ijassa-886	133	8	is	be	AUX
ijassa-886	133	9	represented	represent	VERB
ijassa-886	133	10	by	by	ADP
ijassa-886	133	11	the	the	DET
ijassa-886	133	12	function	function	NOUN
ijassa-886	133	13	u(c	u(c	PROPN
ijassa-886	133	14	)	)	PUNCT
ijassa-886	133	15	,	,	PUNCT
ijassa-886	133	16	which	which	PRON
ijassa-886	133	17	reflects	reflect	VERB
ijassa-886	133	18	constant	constant	ADJ
ijassa-886	133	19	aversion	aversion	NOUN
ijassa-886	133	20	to	to	PART
ijassa-886	133	21	risk	risk	VERB
ijassa-886	133	22	by	by	ADP
ijassa-886	133	23	arrow	arrow	NOUN
ijassa-886	133	24	-	-	PUNCT
ijassa-886	133	25	pratt	pratt	NOUN
ijassa-886	133	26	:	:	PUNCT
ijassa-886	133	27	a	a	PRON
ijassa-886	133	28	=	=	X
ijassa-886	133	29	−u	−u	PROPN
ijassa-886	133	30	′′(c)c	′′(c)c	NUM
ijassa-886	133	31	u′(c	u′(c	NOUN
ijassa-886	133	32	)	)	PUNCT
ijassa-886	133	33	≥	≥	NOUN
ijassa-886	133	34	0	0	NUM
ijassa-886	133	35	.	.	PUNCT
ijassa-886	134	1	(	(	PUNCT
ijassa-886	134	2	4.26	4.26	NUM
ijassa-886	134	3	)	)	PUNCT
ijassa-886	134	4	the	the	DET
ijassa-886	134	5	economic	economic	ADJ
ijassa-886	134	6	meaning	meaning	NOUN
ijassa-886	134	7	of	of	ADP
ijassa-886	134	8	(	(	PUNCT
ijassa-886	134	9	4.26	4.26	NUM
ijassa-886	134	10	)	)	PUNCT
ijassa-886	134	11	is	be	AUX
ijassa-886	134	12	clear	clear	ADJ
ijassa-886	134	13	from	from	ADP
ijassa-886	134	14	the	the	DET
ijassa-886	134	15	notation	notation	NOUN
ijassa-886	134	16	g(c	g(c	NOUN
ijassa-886	134	17	)	)	PUNCT
ijassa-886	134	18	=	=	PUNCT
ijassa-886	134	19	u′(c	u′(c	NOUN
ijassa-886	134	20	)	)	PUNCT
ijassa-886	134	21	.	.	PUNCT
ijassa-886	135	1	(	(	PUNCT
ijassa-886	135	2	4.27	4.27	NUM
ijassa-886	135	3	)	)	PUNCT
ijassa-886	135	4	then	then	ADV
ijassa-886	135	5	g(c	g(c	PROPN
ijassa-886	135	6	)	)	PUNCT
ijassa-886	135	7	is	be	AUX
ijassa-886	135	8	the	the	DET
ijassa-886	135	9	limit	limit	NOUN
ijassa-886	135	10	utility	utility	NOUN
ijassa-886	135	11	of	of	ADP
ijassa-886	135	12	consumption	consumption	NOUN
ijassa-886	135	13	.	.	PUNCT
ijassa-886	136	1	further	far	ADV
ijassa-886	136	2	,	,	PUNCT
ijassa-886	136	3	taking	take	VERB
ijassa-886	136	4	into	into	ADP
ijassa-886	136	5	account	account	NOUN
ijassa-886	136	6	(	(	PUNCT
ijassa-886	136	7	4.26	4.26	NUM
ijassa-886	136	8	)	)	PUNCT
ijassa-886	136	9	and	and	CCONJ
ijassa-886	136	10	(	(	PUNCT
ijassa-886	136	11	4.27	4.27	NUM
ijassa-886	136	12	)	)	PUNCT
ijassa-886	136	13	,	,	PUNCT
ijassa-886	136	14	we	we	PRON
ijassa-886	136	15	have	have	VERB
ijassa-886	136	16	the	the	DET
ijassa-886	136	17	equalities	equality	NOUN
ijassa-886	136	18	:	:	PUNCT
ijassa-886	136	19	g′(c	g′(c	NOUN
ijassa-886	136	20	)	)	PUNCT
ijassa-886	136	21	=	=	SYM
ijassa-886	136	22	u′′(c	u′′(c	ADJ
ijassa-886	136	23	)	)	PUNCT
ijassa-886	136	24	,	,	PUNCT
ijassa-886	136	25	ec(g	ec(g	X
ijassa-886	136	26	)	)	PUNCT
ijassa-886	136	27	=	=	SYM
ijassa-886	136	28	g′(c	g′(c	NOUN
ijassa-886	136	29	)	)	PUNCT
ijassa-886	136	30	g(c)/c	g(c)/c	NOUN
ijassa-886	136	31	=	=	PUNCT
ijassa-886	136	32	u′′(c)c	u′′(c)c	ADJ
ijassa-886	136	33	u′(c	u′(c	ADV
ijassa-886	136	34	)	)	PUNCT
ijassa-886	136	35	=	=	SYM
ijassa-886	136	36	−a	−a	NOUN
ijassa-886	136	37	.	.	PUNCT
ijassa-886	137	1	here	here	ADV
ijassa-886	137	2	,	,	PUNCT
ijassa-886	137	3	ec(g	ec(g	ADV
ijassa-886	137	4	)	)	PUNCT
ijassa-886	137	5	is	be	AUX
ijassa-886	137	6	the	the	DET
ijassa-886	137	7	elasticity	elasticity	NOUN
ijassa-886	137	8	of	of	ADP
ijassa-886	137	9	g	g	NOUN
ijassa-886	137	10	with	with	ADP
ijassa-886	137	11	respect	respect	NOUN
ijassa-886	137	12	to	to	ADP
ijassa-886	137	13	c.	c.	PROPN
ijassa-886	137	14	further	far	ADV
ijassa-886	137	15	,	,	PUNCT
ijassa-886	137	16	we	we	PRON
ijassa-886	137	17	assume	assume	VERB
ijassa-886	137	18	that	that	SCONJ
ijassa-886	137	19	g(c	g(c	NOUN
ijassa-886	137	20	)	)	PUNCT
ijassa-886	137	21	is	be	AUX
ijassa-886	137	22	a	a	DET
ijassa-886	137	23	monotonically	monotonically	ADV
ijassa-886	137	24	decreasing	decrease	VERB
ijassa-886	137	25	function	function	NOUN
ijassa-886	137	26	,	,	PUNCT
ijassa-886	137	27	therefore	therefore	ADV
ijassa-886	137	28	,	,	PUNCT
ijassa-886	137	29	a	a	DET
ijassa-886	137	30	≥	≥	NOUN
ijassa-886	137	31	0	0	NUM
ijassa-886	137	32	.	.	PUNCT
ijassa-886	138	1	conversely	conversely	ADV
ijassa-886	138	2	,	,	PUNCT
ijassa-886	138	3	the	the	DET
ijassa-886	138	4	assumption	assumption	NOUN
ijassa-886	138	5	that	that	SCONJ
ijassa-886	138	6	g(c	g(c	NOUN
ijassa-886	138	7	)	)	PUNCT
ijassa-886	138	8	is	be	AUX
ijassa-886	138	9	increasing	increase	VERB
ijassa-886	138	10	,	,	PUNCT
ijassa-886	138	11	is	be	AUX
ijassa-886	138	12	associated	associate	VERB
ijassa-886	138	13	with	with	ADP
ijassa-886	138	14	the	the	DET
ijassa-886	138	15	risk	risk	NOUN
ijassa-886	138	16	.	.	PUNCT
ijassa-886	139	1	it	it	PRON
ijassa-886	139	2	is	be	AUX
ijassa-886	139	3	natural	natural	ADJ
ijassa-886	139	4	to	to	PART
ijassa-886	139	5	call	call	VERB
ijassa-886	139	6	the	the	DET
ijassa-886	139	7	condition	condition	NOUN
ijassa-886	139	8	that	that	SCONJ
ijassa-886	139	9	g(c	g(c	NOUN
ijassa-886	139	10	)	)	PUNCT
ijassa-886	139	11	does	do	AUX
ijassa-886	139	12	not	not	PART
ijassa-886	139	13	increase	increase	VERB
ijassa-886	139	14	the	the	DET
ijassa-886	139	15	disgust	disgust	NOUN
ijassa-886	139	16	to	to	PART
ijassa-886	139	17	risk	risk	VERB
ijassa-886	139	18	.	.	PUNCT
ijassa-886	140	1	lemma	lemma	PROPN
ijassa-886	140	2	4.1	4.1	NUM
ijassa-886	140	3	:	:	PUNCT
ijassa-886	140	4	the	the	DET
ijassa-886	140	5	derivative	derivative	NOUN
ijassa-886	140	6	of	of	ADP
ijassa-886	140	7	the	the	DET
ijassa-886	140	8	utility	utility	NOUN
ijassa-886	140	9	function	function	NOUN
ijassa-886	140	10	u	u	NOUN
ijassa-886	140	11	describing	describe	VERB
ijassa-886	140	12	the	the	DET
ijassa-886	140	13	constant	constant	ADJ
ijassa-886	140	14	aversion	aversion	NOUN
ijassa-886	140	15	to	to	PART
ijassa-886	140	16	risk	risk	VERB
ijassa-886	140	17	by	by	ADP
ijassa-886	140	18	arrow	arrow	NOUN
ijassa-886	140	19	-	-	PUNCT
ijassa-886	140	20	pratt	pratt	NOUN
ijassa-886	140	21	(	(	PUNCT
ijassa-886	140	22	4.26	4.26	NUM
ijassa-886	140	23	)	)	PUNCT
ijassa-886	140	24	is	be	AUX
ijassa-886	140	25	given	give	VERB
ijassa-886	140	26	by	by	ADP
ijassa-886	140	27	the	the	DET
ijassa-886	140	28	formula	formula	NOUN
ijassa-886	140	29	u′(c	u′(c	ADP
ijassa-886	140	30	)	)	PUNCT
ijassa-886	140	31	=	=	SYM
ijassa-886	140	32	g(c	g(c	NOUN
ijassa-886	140	33	)	)	PUNCT
ijassa-886	140	34	=	=	PUNCT
ijassa-886	141	1	γ	γ	X
ijassa-886	141	2	ca	ca	NOUN
ijassa-886	141	3	=	=	SYM
ijassa-886	141	4	γc−a	γc−a	ADJ
ijassa-886	141	5	,	,	PUNCT
ijassa-886	141	6	γ	γ	X
ijassa-886	141	7	=	=	SYM
ijassa-886	141	8	const	const	X
ijassa-886	141	9	>	>	X
ijassa-886	141	10	0	0	NUM
ijassa-886	141	11	.	.	PUNCT
ijassa-886	142	1	(	(	PUNCT
ijassa-886	142	2	4.28	4.28	NUM
ijassa-886	142	3	)	)	PUNCT
ijassa-886	142	4	proof	proof	NOUN
ijassa-886	142	5	considering	consider	VERB
ijassa-886	142	6	(	(	PUNCT
ijassa-886	142	7	4.26	4.26	NUM
ijassa-886	142	8	)	)	PUNCT
ijassa-886	142	9	as	as	ADP
ijassa-886	142	10	a	a	DET
ijassa-886	142	11	differential	differential	ADJ
ijassa-886	142	12	equation	equation	NOUN
ijassa-886	142	13	with	with	ADP
ijassa-886	142	14	the	the	DET
ijassa-886	142	15	unknown	unknown	ADJ
ijassa-886	142	16	function	function	NOUN
ijassa-886	142	17	u	u	NOUN
ijassa-886	142	18	,	,	PUNCT
ijassa-886	142	19	we	we	PRON
ijassa-886	142	20	get	get	VERB
ijassa-886	142	21	a	a	DET
ijassa-886	142	22	c	c	NOUN
ijassa-886	143	1	=	=	SYM
ijassa-886	143	2	−u	−u	PROPN
ijassa-886	143	3	′′(c	′′(c	ADV
ijassa-886	143	4	)	)	PUNCT
ijassa-886	143	5	u′(c	u′(c	ADP
ijassa-886	143	6	)	)	PUNCT
ijassa-886	143	7	.	.	PUNCT
ijassa-886	144	1	integrating	integrate	VERB
ijassa-886	144	2	this	this	DET
ijassa-886	144	3	equation	equation	NOUN
ijassa-886	144	4	,	,	PUNCT
ijassa-886	144	5	we	we	PRON
ijassa-886	144	6	obtain	obtain	VERB
ijassa-886	144	7	a	a	DET
ijassa-886	144	8	∫	∫	NOUN
ijassa-886	144	9	dc	dc	PROPN
ijassa-886	144	10	c	c	PROPN
ijassa-886	144	11	=	=	SYM
ijassa-886	144	12	α	α	PROPN
ijassa-886	144	13	ln	ln	ADJ
ijassa-886	144	14	|c|	|c|	PROPN
ijassa-886	144	15	=	=	PUNCT
ijassa-886	145	1	−	−	PROPN
ijassa-886	145	2	∫	∫	PROPN
ijassa-886	145	3	u′′(c	u′′(c	VERB
ijassa-886	145	4	)	)	PUNCT
ijassa-886	145	5	u′(c	u′(c	ADP
ijassa-886	145	6	)	)	PUNCT
ijassa-886	145	7	dc	dc	PROPN
ijassa-886	146	1	=	=	PUNCT
ijassa-886	146	2	−	−	PROPN
ijassa-886	146	3	ln	ln	PROPN
ijassa-886	146	4	|u′(c)|+	|u′(c)|+	PROPN
ijassa-886	146	5	const	const	NOUN
ijassa-886	146	6	=	=	PUNCT
ijassa-886	146	7	ln	ln	ADJ
ijassa-886	146	8	∣∣∣∣	∣∣∣∣	NOUN
ijassa-886	146	9	c0	c0	NOUN
ijassa-886	146	10	u′(c	u′(c	ADV
ijassa-886	146	11	)	)	PUNCT
ijassa-886	146	12	∣∣∣∣	∣∣∣∣	NOUN
ijassa-886	146	13	.	.	PUNCT
ijassa-886	147	1	since	since	SCONJ
ijassa-886	147	2	logarithm	logarithm	PROPN
ijassa-886	147	3	is	be	AUX
ijassa-886	147	4	a	a	DET
ijassa-886	147	5	monotonic	monotonic	ADJ
ijassa-886	147	6	function	function	NOUN
ijassa-886	147	7	,	,	PUNCT
ijassa-886	147	8	this	this	DET
ijassa-886	147	9	yields	yield	NOUN
ijassa-886	147	10	|c|a	|c|a	PROPN
ijassa-886	147	11	=	=	SYM
ijassa-886	147	12	∣∣∣∣	∣∣∣∣	NOUN
ijassa-886	147	13	c0	c0	NOUN
ijassa-886	147	14	u′(c	u′(c	ADV
ijassa-886	147	15	)	)	PUNCT
ijassa-886	147	16	∣∣∣∣	∣∣∣∣	NOUN
ijassa-886	147	17	.	.	PUNCT
ijassa-886	148	1	since	since	SCONJ
ijassa-886	148	2	the	the	DET
ijassa-886	148	3	consumption	consumption	NOUN
ijassa-886	148	4	is	be	AUX
ijassa-886	148	5	positive	positive	ADJ
ijassa-886	148	6	,	,	PUNCT
ijassa-886	148	7	one	one	PRON
ijassa-886	148	8	can	can	AUX
ijassa-886	148	9	put	put	VERB
ijassa-886	148	10	|c0|	|c0|	NOUN
ijassa-886	148	11	=	=	SYM
ijassa-886	148	12	γ	γ	X
ijassa-886	148	13	>	>	X
ijassa-886	148	14	0	0	PROPN
ijassa-886	148	15	.	.	PUNCT
ijassa-886	149	1	taking	take	VERB
ijassa-886	149	2	into	into	ADP
ijassa-886	149	3	account	account	NOUN
ijassa-886	149	4	(	(	PUNCT
ijassa-886	149	5	4.27	4.27	NUM
ijassa-886	149	6	)	)	PUNCT
ijassa-886	149	7	,	,	PUNCT
ijassa-886	149	8	the	the	DET
ijassa-886	149	9	last	last	ADJ
ijassa-886	149	10	equality	equality	NOUN
ijassa-886	149	11	implies	imply	VERB
ijassa-886	149	12	(	(	PUNCT
ijassa-886	149	13	4.28	4.28	NUM
ijassa-886	149	14	)	)	PUNCT
ijassa-886	149	15	.	.	PUNCT
ijassa-886	150	1	corollary	corollary	ADJ
ijassa-886	150	2	4.1	4.1	NUM
ijassa-886	150	3	:	:	PUNCT
ijassa-886	150	4	the	the	DET
ijassa-886	150	5	utility	utility	NOUN
ijassa-886	150	6	function	function	VERB
ijassa-886	150	7	u	u	NOUN
ijassa-886	150	8	satisfying	satisfy	VERB
ijassa-886	150	9	the	the	DET
ijassa-886	150	10	condition	condition	NOUN
ijassa-886	150	11	of	of	ADP
ijassa-886	150	12	lemma	lemma	PROPN
ijassa-886	150	13	4.1	4.1	NUM
ijassa-886	150	14	has	have	VERB
ijassa-886	150	15	the	the	DET
ijassa-886	150	16	form	form	NOUN
ijassa-886	150	17	u(c	u(c	PROPN
ijassa-886	150	18	)	)	PUNCT
ijassa-886	150	19	=	=	PUNCT
ijassa-886	151	1			PUNCT
ijassa-886	151	2	γc1−a	γc1−a	X
ijassa-886	151	3	1−	1−	NUM
ijassa-886	151	4	a	a	DET
ijassa-886	151	5	+	+	NUM
ijassa-886	151	6	χ	χ	ADJ
ijassa-886	151	7	,	,	PUNCT
ijassa-886	151	8	a	a	DET
ijassa-886	151	9	6=	6=	NUM
ijassa-886	151	10	1	1	NUM
ijassa-886	151	11	;	;	PUNCT
ijassa-886	151	12	γ	γ	X
ijassa-886	151	13	lnc	lnc	PROPN
ijassa-886	151	14	+	+	CCONJ
ijassa-886	151	15	χ	χ	X
ijassa-886	151	16	,	,	PUNCT
ijassa-886	151	17	a	a	DET
ijassa-886	151	18	=	=	NOUN
ijassa-886	151	19	1	1	NUM
ijassa-886	151	20	;	;	PUNCT
ijassa-886	151	21	γ	γ	X
ijassa-886	151	22	=	=	SYM
ijassa-886	151	23	const	const	X
ijassa-886	151	24	>	>	X
ijassa-886	151	25	0	0	PROPN
ijassa-886	151	26	,	,	PUNCT
ijassa-886	151	27	χ	χ	NOUN
ijassa-886	151	28	=	=	PUNCT
ijassa-886	151	29	const	const	PROPN
ijassa-886	151	30	.	.	PUNCT
ijassa-886	152	1	(	(	PUNCT
ijassa-886	152	2	4.29	4.29	X
ijassa-886	152	3	)	)	PUNCT
ijassa-886	152	4	proof	proof	NOUN
ijassa-886	152	5	integrating	integrate	VERB
ijassa-886	152	6	equation	equation	NOUN
ijassa-886	152	7	(	(	PUNCT
ijassa-886	152	8	4.28	4.28	NUM
ijassa-886	152	9	)	)	PUNCT
ijassa-886	152	10	,	,	PUNCT
ijassa-886	152	11	we	we	PRON
ijassa-886	152	12	obtain	obtain	VERB
ijassa-886	152	13	(	(	PUNCT
ijassa-886	152	14	4.29	4.29	NUM
ijassa-886	152	15	)	)	PUNCT
ijassa-886	152	16	.	.	PUNCT
ijassa-886	153	1	copyright	copyright	NOUN
ijassa-886	153	2	©	©	PROPN
ijassa-886	153	3	2020	2020	NUM
ijassa-886	153	4	assa	assa	NOUN
ijassa-886	153	5	.	.	PUNCT
ijassa-886	154	1	adv	adv	PROPN
ijassa-886	154	2	syst	syst	PROPN
ijassa-886	154	3	sci	sci	PROPN
ijassa-886	154	4	appl	appl	PROPN
ijassa-886	154	5	(	(	PUNCT
ijassa-886	154	6	2020	2020	NUM
ijassa-886	154	7	)	)	PUNCT
ijassa-886	154	8	dynamic	dynamic	ADJ
ijassa-886	154	9	models	model	NOUN
ijassa-886	154	10	of	of	ADP
ijassa-886	154	11	economic	economic	ADJ
ijassa-886	154	12	growth	growth	NOUN
ijassa-886	154	13	77	77	NUM
ijassa-886	154	14	theorem	theorem	VERB
ijassa-886	154	15	4.1	4.1	NUM
ijassa-886	154	16	:	:	PUNCT
ijassa-886	154	17	the	the	DET
ijassa-886	154	18	consumption	consumption	NOUN
ijassa-886	154	19	function	function	NOUN
ijassa-886	154	20	c(t	c(t	PROPN
ijassa-886	154	21	)	)	PUNCT
ijassa-886	154	22	=	=	PUNCT
ijassa-886	154	23	(	(	PUNCT
ijassa-886	154	24	u′	u′	PROPN
ijassa-886	154	25	)	)	PUNCT
ijassa-886	154	26	−1	−1	NOUN
ijassa-886	154	27	[	[	PUNCT
ijassa-886	154	28	1	1	NUM
ijassa-886	154	29	b(t	b(t	NOUN
ijassa-886	154	30	)	)	PUNCT
ijassa-886	154	31	c1	c1	PROPN
ijassa-886	154	32	exp	exp	NOUN
ijassa-886	154	33	{	{	PUNCT
ijassa-886	154	34	δt−	δt−	NUM
ijassa-886	154	35	∫	∫	PROPN
ijassa-886	154	36	t	t	PROPN
ijassa-886	154	37	t0	t0	PROPN
ijassa-886	154	38	dτ	dτ	PROPN
ijassa-886	154	39	b(τ	b(τ	PROPN
ijassa-886	154	40	)	)	PUNCT
ijassa-886	154	41	}	}	PUNCT
ijassa-886	154	42	]	]	PUNCT
ijassa-886	154	43	(	(	PUNCT
ijassa-886	154	44	4.30	4.30	NUM
ijassa-886	154	45	)	)	PUNCT
ijassa-886	154	46	gives	give	VERB
ijassa-886	154	47	the	the	DET
ijassa-886	154	48	maximum	maximum	NOUN
ijassa-886	154	49	in	in	ADP
ijassa-886	154	50	the	the	DET
ijassa-886	154	51	variation	variation	NOUN
ijassa-886	154	52	problem	problem	NOUN
ijassa-886	154	53	(	(	PUNCT
ijassa-886	154	54	4.25	4.25	NUM
ijassa-886	154	55	)	)	PUNCT
ijassa-886	154	56	with	with	ADP
ijassa-886	154	57	fixed	fix	VERB
ijassa-886	154	58	boundaries	boundary	NOUN
ijassa-886	154	59	.	.	PUNCT
ijassa-886	155	1	proof	proof	NOUN
ijassa-886	155	2	substituting	substitute	VERB
ijassa-886	155	3	the	the	DET
ijassa-886	155	4	expression	expression	NOUN
ijassa-886	155	5	of	of	ADP
ijassa-886	155	6	the	the	DET
ijassa-886	155	7	consumption	consumption	NOUN
ijassa-886	155	8	from	from	ADP
ijassa-886	155	9	(	(	PUNCT
ijassa-886	155	10	2.1	2.1	NUM
ijassa-886	155	11	)	)	PUNCT
ijassa-886	155	12	into	into	ADP
ijassa-886	155	13	(	(	PUNCT
ijassa-886	155	14	4.25	4.25	NUM
ijassa-886	155	15	)	)	PUNCT
ijassa-886	155	16	,	,	PUNCT
ijassa-886	155	17	we	we	PRON
ijassa-886	155	18	obtain	obtain	VERB
ijassa-886	155	19	the	the	DET
ijassa-886	155	20	functional	functional	ADJ
ijassa-886	155	21	j(y	j(y	PROPN
ijassa-886	155	22	)	)	PUNCT
ijassa-886	156	1	=	=	SYM
ijassa-886	156	2	∫	∫	PROPN
ijassa-886	156	3	t1	t1	NOUN
ijassa-886	156	4	t0	t0	PROPN
ijassa-886	157	1	u(y	u(y	PROPN
ijassa-886	157	2	−b(t)y	−b(t)y	PROPN
ijassa-886	157	3	′	′	NOUN
ijassa-886	157	4	)	)	PUNCT
ijassa-886	157	5	exp(−δt)dt	exp(−δt)dt	PROPN
ijassa-886	157	6	,	,	PUNCT
ijassa-886	157	7	(	(	PUNCT
ijassa-886	157	8	4.31	4.31	NUM
ijassa-886	157	9	)	)	PUNCT
ijassa-886	157	10	whose	whose	DET
ijassa-886	157	11	increment	increment	NOUN
ijassa-886	157	12	j(y	j(y	PROPN
ijassa-886	157	13	+	+	CCONJ
ijassa-886	157	14	h)−	h)−	PROPN
ijassa-886	157	15	j(y	j(y	PROPN
ijassa-886	157	16	)	)	PUNCT
ijassa-886	158	1	=	=	SYM
ijassa-886	158	2	∆j(y	∆j(y	PROPN
ijassa-886	158	3	,	,	PUNCT
ijassa-886	158	4	h	h	NOUN
ijassa-886	158	5	)	)	PUNCT
ijassa-886	158	6	has	have	VERB
ijassa-886	158	7	the	the	DET
ijassa-886	158	8	form	form	NOUN
ijassa-886	158	9	∆j(y	∆j(y	NOUN
ijassa-886	158	10	,	,	PUNCT
ijassa-886	158	11	h	h	NOUN
ijassa-886	158	12	)	)	PUNCT
ijassa-886	158	13	=	=	SYM
ijassa-886	159	1	∫	∫	PROPN
ijassa-886	159	2	t1	t1	PROPN
ijassa-886	159	3	t0	t0	PROPN
ijassa-886	160	1	[	[	X
ijassa-886	160	2	u(y	u(y	PROPN
ijassa-886	160	3	+	+	NUM
ijassa-886	160	4	h−b(t)(y	h−b(t)(y	NOUN
ijassa-886	160	5	′	′	NUM
ijassa-886	161	1	+	+	CCONJ
ijassa-886	161	2	h′))−	h′))−	NOUN
ijassa-886	161	3	u(y	u(y	NOUN
ijassa-886	161	4	−b(t)y	−b(t)y	PROPN
ijassa-886	161	5	′	′	NUM
ijassa-886	161	6	)	)	PUNCT
ijassa-886	161	7	]	]	PUNCT
ijassa-886	162	1	exp(−δt)dt	exp(−δt)dt	PROPN
ijassa-886	162	2	.	.	PUNCT
ijassa-886	163	1	(	(	PUNCT
ijassa-886	163	2	4.32	4.32	NUM
ijassa-886	163	3	)	)	PUNCT
ijassa-886	163	4	from	from	ADP
ijassa-886	163	5	the	the	DET
ijassa-886	163	6	equality	equality	NOUN
ijassa-886	164	1	y	y	PROPN
ijassa-886	164	2	−b(t)y	−b(t)y	ADV
ijassa-886	164	3	′	′	NUM
ijassa-886	164	4	=	=	SYM
ijassa-886	164	5	c(t	c(t	PROPN
ijassa-886	164	6	)	)	PUNCT
ijassa-886	164	7	,	,	PUNCT
ijassa-886	164	8	it	it	PRON
ijassa-886	164	9	follows	follow	VERB
ijassa-886	164	10	that	that	SCONJ
ijassa-886	164	11	u(y	u(y	ADP
ijassa-886	164	12	+	+	NUM
ijassa-886	164	13	h−b(t)(y	h−b(t)(y	NOUN
ijassa-886	164	14	′	′	NUM
ijassa-886	165	1	+	+	CCONJ
ijassa-886	165	2	h′))−	h′))−	NOUN
ijassa-886	165	3	u(y	u(y	NOUN
ijassa-886	165	4	−b(t)y	−b(t)y	PROPN
ijassa-886	165	5	′	′	NUM
ijassa-886	165	6	)	)	PUNCT
ijassa-886	165	7	=	=	SYM
ijassa-886	165	8	u(c(t	u(c(t	PROPN
ijassa-886	165	9	)	)	PUNCT
ijassa-886	166	1	+	+	CCONJ
ijassa-886	166	2	h−b(t)h′)−	h−b(t)h′)−	X
ijassa-886	166	3	u(c(t	u(c(t	PROPN
ijassa-886	166	4	)	)	PUNCT
ijassa-886	166	5	)	)	PUNCT
ijassa-886	166	6	,	,	PUNCT
ijassa-886	166	7	∆j(y	∆j(y	PROPN
ijassa-886	166	8	,	,	PUNCT
ijassa-886	166	9	h	h	NOUN
ijassa-886	166	10	)	)	PUNCT
ijassa-886	166	11	=	=	SYM
ijassa-886	167	1	∫	∫	PROPN
ijassa-886	167	2	t1	t1	PROPN
ijassa-886	167	3	t0	t0	PROPN
ijassa-886	168	1	[	[	X
ijassa-886	168	2	u(c(t	u(c(t	PROPN
ijassa-886	168	3	)	)	PUNCT
ijassa-886	168	4	+	+	NUM
ijassa-886	168	5	h−b(t)h′)−	h−b(t)h′)−	DET
ijassa-886	168	6	u(c(t))]e−δtdt	u(c(t))]e−δtdt	ADJ
ijassa-886	168	7	.	.	PUNCT
ijassa-886	169	1	(	(	PUNCT
ijassa-886	169	2	4.33	4.33	NUM
ijassa-886	169	3	)	)	PUNCT
ijassa-886	169	4	substituting	substitute	VERB
ijassa-886	169	5	the	the	DET
ijassa-886	169	6	taylor	taylor	PROPN
ijassa-886	169	7	expansion	expansion	NOUN
ijassa-886	169	8	u(c(t	u(c(t	PROPN
ijassa-886	169	9	)	)	PUNCT
ijassa-886	169	10	+	+	SYM
ijassa-886	169	11	h−b(t)h′	h−b(t)h′	NOUN
ijassa-886	169	12	)	)	PUNCT
ijassa-886	169	13	=	=	SYM
ijassa-886	169	14	u(c(t	u(c(t	PROPN
ijassa-886	169	15	)	)	PUNCT
ijassa-886	169	16	)	)	PUNCT
ijassa-886	170	1	+	+	PUNCT
ijassa-886	170	2	u′(c(t))[h−b(t)h′	u′(c(t))[h−b(t)h′	NUM
ijassa-886	170	3	]	]	X
ijassa-886	170	4	+	+	CCONJ
ijassa-886	170	5	1	1	NUM
ijassa-886	170	6	2	2	NUM
ijassa-886	170	7	u′′(c(t))[h−b(t)h′]2	u′′(c(t))[h−b(t)h′]2	PROPN
ijassa-886	170	8	+	+	NOUN
ijassa-886	170	9	r(t	r(t	NOUN
ijassa-886	170	10	)	)	PUNCT
ijassa-886	170	11	,	,	PUNCT
ijassa-886	170	12	where	where	SCONJ
ijassa-886	170	13	r(t	r(t	NOUN
ijassa-886	170	14	)	)	PUNCT
ijassa-886	170	15	=	=	SYM
ijassa-886	171	1	o[h−b(t)h′]2	o[h−b(t)h′]2	NOUN
ijassa-886	171	2	as	as	ADP
ijassa-886	171	3	h−b(t)h′	h−b(t)h′	NOUN
ijassa-886	171	4	→	→	SYM
ijassa-886	171	5	0	0	NUM
ijassa-886	171	6	,	,	PUNCT
ijassa-886	171	7	into	into	ADP
ijassa-886	171	8	(	(	PUNCT
ijassa-886	171	9	4.33	4.33	NUM
ijassa-886	171	10	)	)	PUNCT
ijassa-886	171	11	,	,	PUNCT
ijassa-886	171	12	we	we	PRON
ijassa-886	171	13	obtain	obtain	VERB
ijassa-886	171	14	∆j(y	∆j(y	ADJ
ijassa-886	171	15	,	,	PUNCT
ijassa-886	171	16	h	h	NOUN
ijassa-886	171	17	)	)	PUNCT
ijassa-886	172	1	=	=	SYM
ijassa-886	173	1	∫	∫	PROPN
ijassa-886	173	2	t1	t1	PROPN
ijassa-886	173	3	t0	t0	PROPN
ijassa-886	173	4	u′(c(t))[h−b(t)h′]e−δtdt+	u′(c(t))[h−b(t)h′]e−δtdt+	NOUN
ijassa-886	173	5	1	1	NUM
ijassa-886	173	6	2	2	NUM
ijassa-886	173	7	∫	∫	NOUN
ijassa-886	173	8	t1	t1	NOUN
ijassa-886	173	9	t0	t0	PROPN
ijassa-886	173	10	u′′(c(t))[h−b(t)h′]2e−δtdt+	u′′(c(t))[h−b(t)h′]2e−δtdt+	AUX
ijassa-886	174	1	∫	∫	PROPN
ijassa-886	175	1	t1	t1	PROPN
ijassa-886	175	2	t0	t0	PROPN
ijassa-886	175	3	r(t)e−δtdt	r(t)e−δtdt	NUM
ijassa-886	175	4	.	.	PUNCT
ijassa-886	176	1	(	(	PUNCT
ijassa-886	176	2	4.34	4.34	NUM
ijassa-886	176	3	)	)	PUNCT
ijassa-886	176	4	then	then	ADV
ijassa-886	176	5	,	,	PUNCT
ijassa-886	176	6	integrating	integrate	VERB
ijassa-886	176	7	by	by	ADP
ijassa-886	176	8	parts	part	NOUN
ijassa-886	176	9	,	,	PUNCT
ijassa-886	176	10	we	we	PRON
ijassa-886	176	11	have	have	VERB
ijassa-886	176	12	−	−	PROPN
ijassa-886	176	13	∫	∫	PROPN
ijassa-886	176	14	t1	t1	PROPN
ijassa-886	176	15	t0	t0	PROPN
ijassa-886	177	1	u′(c(t))b(t)h′e−δtdt	u′(c(t))b(t)h′e−δtdt	PROPN
ijassa-886	178	1	=	=	PUNCT
ijassa-886	178	2	−	−	PROPN
ijassa-886	178	3	∫	∫	PROPN
ijassa-886	178	4	t1	t1	PROPN
ijassa-886	178	5	t0	t0	PROPN
ijassa-886	178	6	u′(c(t))b(t)e−δtdh	u′(c(t))b(t)e−δtdh	PROPN
ijassa-886	178	7	=	=	PUNCT
ijassa-886	178	8	−	−	PROPN
ijassa-886	179	1	u′(c(t))b(t)e−δth	u′(c(t))b(t)e−δth	PROPN
ijassa-886	179	2	∣∣∣∣t1	∣∣∣∣t1	PROPN
ijassa-886	179	3	t0	t0	PROPN
ijassa-886	179	4	+	+	CCONJ
ijassa-886	180	1	∫	∫	PROPN
ijassa-886	180	2	t1	t1	PROPN
ijassa-886	180	3	t0	t0	PROPN
ijassa-886	180	4	h	h	NOUN
ijassa-886	181	1	d	d	X
ijassa-886	181	2	dt	dt	X
ijassa-886	182	1	[	[	X
ijassa-886	182	2	u′(c(t))b(t)e−δt]dt	u′(c(t))b(t)e−δt]dt	PROPN
ijassa-886	182	3	.	.	PUNCT
ijassa-886	182	4	(	(	PUNCT
ijassa-886	182	5	4.35	4.35	NUM
ijassa-886	182	6	)	)	PUNCT
ijassa-886	182	7	since	since	SCONJ
ijassa-886	182	8	we	we	PRON
ijassa-886	182	9	consider	consider	VERB
ijassa-886	182	10	the	the	DET
ijassa-886	182	11	variation	variation	NOUN
ijassa-886	182	12	problem	problem	NOUN
ijassa-886	182	13	(	(	PUNCT
ijassa-886	182	14	4.25	4.25	NUM
ijassa-886	182	15	)	)	PUNCT
ijassa-886	182	16	with	with	ADP
ijassa-886	182	17	fixed	fix	VERB
ijassa-886	182	18	boundaries	boundary	NOUN
ijassa-886	182	19	,	,	PUNCT
ijassa-886	182	20	in	in	ADP
ijassa-886	182	21	addition	addition	NOUN
ijassa-886	182	22	to	to	ADP
ijassa-886	182	23	the	the	DET
ijassa-886	182	24	initial	initial	ADJ
ijassa-886	182	25	condition	condition	NOUN
ijassa-886	182	26	(	(	PUNCT
ijassa-886	182	27	2.4	2.4	NUM
ijassa-886	182	28	)	)	PUNCT
ijassa-886	182	29	,	,	PUNCT
ijassa-886	182	30	i.e.	i.e.	X
ijassa-886	182	31	,	,	PUNCT
ijassa-886	182	32	the	the	DET
ijassa-886	182	33	boundary	boundary	ADJ
ijassa-886	182	34	condition	condition	NOUN
ijassa-886	182	35	on	on	ADP
ijassa-886	182	36	the	the	DET
ijassa-886	182	37	left	left	ADJ
ijassa-886	182	38	edge	edge	NOUN
ijassa-886	182	39	,	,	PUNCT
ijassa-886	182	40	we	we	PRON
ijassa-886	182	41	have	have	VERB
ijassa-886	182	42	the	the	DET
ijassa-886	182	43	boundary	boundary	ADJ
ijassa-886	182	44	condition	condition	NOUN
ijassa-886	182	45	copyright	copyright	NOUN
ijassa-886	182	46	©	©	PROPN
ijassa-886	182	47	2020	2020	NUM
ijassa-886	182	48	assa	assa	NOUN
ijassa-886	182	49	.	.	PUNCT
ijassa-886	183	1	adv	adv	PROPN
ijassa-886	183	2	syst	syst	PROPN
ijassa-886	183	3	sci	sci	PROPN
ijassa-886	183	4	appl	appl	PROPN
ijassa-886	183	5	(	(	PUNCT
ijassa-886	183	6	2020	2020	NUM
ijassa-886	183	7	)	)	PUNCT
ijassa-886	183	8	78	78	NUM
ijassa-886	183	9	a.p	a.p	PROPN
ijassa-886	183	10	.	.	PROPN
ijassa-886	183	11	chernyaev	chernyaev	PROPN
ijassa-886	183	12	on	on	ADP
ijassa-886	183	13	the	the	DET
ijassa-886	183	14	right	right	ADJ
ijassa-886	183	15	edge	edge	NOUN
ijassa-886	183	16	:	:	PUNCT
ijassa-886	183	17	y	y	PROPN
ijassa-886	183	18	(	(	PUNCT
ijassa-886	183	19	t1	t1	NOUN
ijassa-886	183	20	)	)	PUNCT
ijassa-886	183	21	=	=	PUNCT
ijassa-886	184	1	y1	y1	NOUN
ijassa-886	184	2	>	>	X
ijassa-886	184	3	0	0	NUM
ijassa-886	184	4	.	.	PUNCT
ijassa-886	185	1	(	(	PUNCT
ijassa-886	185	2	4.36	4.36	NUM
ijassa-886	185	3	)	)	PUNCT
ijassa-886	185	4	from	from	ADP
ijassa-886	185	5	(	(	PUNCT
ijassa-886	185	6	2.4	2.4	NUM
ijassa-886	185	7	)	)	PUNCT
ijassa-886	185	8	and	and	CCONJ
ijassa-886	185	9	(	(	PUNCT
ijassa-886	185	10	4.36	4.36	NUM
ijassa-886	185	11	)	)	PUNCT
ijassa-886	185	12	,	,	PUNCT
ijassa-886	185	13	it	it	PRON
ijassa-886	185	14	follows	follow	VERB
ijassa-886	185	15	that	that	SCONJ
ijassa-886	185	16	for	for	ADP
ijassa-886	185	17	the	the	DET
ijassa-886	185	18	function	function	NOUN
ijassa-886	185	19	h	h	NOUN
ijassa-886	185	20	=	=	SYM
ijassa-886	185	21	h(t	h(t	PROPN
ijassa-886	185	22	)	)	PUNCT
ijassa-886	185	23	the	the	DET
ijassa-886	185	24	equalities	equality	NOUN
ijassa-886	185	25	h(t0	h(t0	NOUN
ijassa-886	185	26	)	)	PUNCT
ijassa-886	186	1	=	=	SYM
ijassa-886	186	2	h(t1	h(t1	X
ijassa-886	186	3	)	)	PUNCT
ijassa-886	187	1	=	=	SYM
ijassa-886	187	2	0	0	X
ijassa-886	187	3	.	.	PUNCT
ijassa-886	188	1	(	(	PUNCT
ijassa-886	188	2	4.37	4.37	NUM
ijassa-886	188	3	)	)	PUNCT
ijassa-886	188	4	hold	hold	VERB
ijassa-886	188	5	true	true	ADJ
ijassa-886	188	6	.	.	PUNCT
ijassa-886	189	1	from	from	ADP
ijassa-886	189	2	(	(	PUNCT
ijassa-886	189	3	4.37	4.37	NUM
ijassa-886	189	4	)	)	PUNCT
ijassa-886	189	5	,	,	PUNCT
ijassa-886	189	6	it	it	PRON
ijassa-886	189	7	follows	follow	VERB
ijassa-886	189	8	that	that	SCONJ
ijassa-886	189	9	the	the	DET
ijassa-886	189	10	first	first	ADJ
ijassa-886	189	11	term	term	NOUN
ijassa-886	189	12	in	in	ADP
ijassa-886	189	13	the	the	DET
ijassa-886	189	14	right	right	ADJ
ijassa-886	189	15	hand	hand	NOUN
ijassa-886	189	16	part	part	NOUN
ijassa-886	189	17	of	of	ADP
ijassa-886	189	18	(	(	PUNCT
ijassa-886	189	19	4.35	4.35	NUM
ijassa-886	189	20	)	)	PUNCT
ijassa-886	189	21	is	be	AUX
ijassa-886	189	22	zero	zero	NUM
ijassa-886	189	23	.	.	PUNCT
ijassa-886	190	1	therefore	therefore	ADV
ijassa-886	190	2	,	,	PUNCT
ijassa-886	190	3	the	the	DET
ijassa-886	190	4	equality	equality	NOUN
ijassa-886	190	5	(	(	PUNCT
ijassa-886	190	6	4.35	4.35	NUM
ijassa-886	190	7	)	)	PUNCT
ijassa-886	190	8	reads	read	VERB
ijassa-886	190	9	−	−	PROPN
ijassa-886	190	10	∫	∫	PROPN
ijassa-886	190	11	t1	t1	PROPN
ijassa-886	190	12	t0	t0	PROPN
ijassa-886	191	1	u′(c(t))b(t)h′e−δtdt	u′(c(t))b(t)h′e−δtdt	PROPN
ijassa-886	191	2	=	=	SYM
ijassa-886	191	3	∫	∫	PROPN
ijassa-886	191	4	t1	t1	PROPN
ijassa-886	191	5	t0	t0	PROPN
ijassa-886	192	1	h	h	NOUN
ijassa-886	193	1	d	d	X
ijassa-886	193	2	dt	dt	X
ijassa-886	194	1	[	[	X
ijassa-886	194	2	u′(c(t))b(t)e−δt]dt	u′(c(t))b(t)e−δt]dt	PROPN
ijassa-886	194	3	.	.	PUNCT
ijassa-886	195	1	(	(	PUNCT
ijassa-886	195	2	4.38	4.38	NUM
ijassa-886	195	3	)	)	PUNCT
ijassa-886	195	4	from	from	ADP
ijassa-886	195	5	(	(	PUNCT
ijassa-886	195	6	4.38	4.38	NUM
ijassa-886	195	7	)	)	PUNCT
ijassa-886	195	8	and	and	CCONJ
ijassa-886	195	9	(	(	PUNCT
ijassa-886	195	10	4.34	4.34	NUM
ijassa-886	195	11	)	)	PUNCT
ijassa-886	195	12	we	we	PRON
ijassa-886	195	13	conclude	conclude	VERB
ijassa-886	195	14	that	that	SCONJ
ijassa-886	195	15	∆j(y	∆j(y	NOUN
ijassa-886	195	16	,	,	PUNCT
ijassa-886	195	17	h	h	NOUN
ijassa-886	195	18	)	)	PUNCT
ijassa-886	195	19	=	=	SYM
ijassa-886	196	1	∫	∫	PROPN
ijassa-886	196	2	t1	t1	PROPN
ijassa-886	196	3	t0	t0	PROPN
ijassa-886	196	4	h	h	PROPN
ijassa-886	196	5	(	(	PUNCT
ijassa-886	196	6	u′(c(t))e−δt	u′(c(t))e−δt	ADJ
ijassa-886	197	1	+	+	CCONJ
ijassa-886	197	2	d	d	ADP
ijassa-886	197	3	dt	dt	X
ijassa-886	197	4	[	[	X
ijassa-886	197	5	u′(c(t))b(t)e−δt	u′(c(t))b(t)e−δt	X
ijassa-886	197	6	]	]	PUNCT
ijassa-886	197	7	)	)	PUNCT
ijassa-886	197	8	dt+	dt+	NOUN
ijassa-886	197	9	1	1	NUM
ijassa-886	197	10	2	2	NUM
ijassa-886	197	11	∫	∫	NOUN
ijassa-886	197	12	t1	t1	NOUN
ijassa-886	197	13	t0	t0	PROPN
ijassa-886	197	14	u′′(c(t))[h−b(t)h′]2e−δtdt+	u′′(c(t))[h−b(t)h′]2e−δtdt+	AUX
ijassa-886	198	1	∫	∫	PROPN
ijassa-886	199	1	t1	t1	PROPN
ijassa-886	199	2	t0	t0	PROPN
ijassa-886	199	3	r(t)e−δtdt	r(t)e−δtdt	NUM
ijassa-886	199	4	.	.	PUNCT
ijassa-886	200	1	(	(	PUNCT
ijassa-886	200	2	4.39	4.39	NUM
ijassa-886	200	3	)	)	PUNCT
ijassa-886	200	4	the	the	DET
ijassa-886	200	5	sign	sign	NOUN
ijassa-886	200	6	of	of	ADP
ijassa-886	200	7	the	the	DET
ijassa-886	200	8	left	left	ADJ
ijassa-886	200	9	hand	hand	NOUN
ijassa-886	200	10	side	side	NOUN
ijassa-886	200	11	of	of	ADP
ijassa-886	200	12	(	(	PUNCT
ijassa-886	200	13	4.39	4.39	NUM
ijassa-886	200	14	)	)	PUNCT
ijassa-886	200	15	coincides	coincide	VERB
ijassa-886	200	16	with	with	ADP
ijassa-886	200	17	the	the	DET
ijassa-886	200	18	sign	sign	NOUN
ijassa-886	200	19	of	of	ADP
ijassa-886	200	20	the	the	DET
ijassa-886	200	21	first	first	ADJ
ijassa-886	200	22	term	term	NOUN
ijassa-886	200	23	in	in	ADP
ijassa-886	200	24	the	the	DET
ijassa-886	200	25	right	right	ADJ
ijassa-886	200	26	hand	hand	NOUN
ijassa-886	200	27	side	side	NOUN
ijassa-886	200	28	of	of	ADP
ijassa-886	200	29	(	(	PUNCT
ijassa-886	200	30	4.39	4.39	NUM
ijassa-886	200	31	)	)	PUNCT
ijassa-886	200	32	.	.	PUNCT
ijassa-886	201	1	indeed	indeed	ADV
ijassa-886	201	2	,	,	PUNCT
ijassa-886	201	3	replacing	replace	VERB
ijassa-886	201	4	h	h	NOUN
ijassa-886	201	5	with	with	ADP
ijassa-886	201	6	βh	βh	ADP
ijassa-886	201	7	,	,	PUNCT
ijassa-886	201	8	where	where	SCONJ
ijassa-886	201	9	β	β	X
ijassa-886	201	10	=	=	SYM
ijassa-886	201	11	const	const	PROPN
ijassa-886	201	12	,	,	PUNCT
ijassa-886	201	13	we	we	PRON
ijassa-886	201	14	get	get	VERB
ijassa-886	201	15	∆j(y	∆j(y	VERB
ijassa-886	201	16	,	,	PUNCT
ijassa-886	201	17	βh	βh	ADP
ijassa-886	201	18	)	)	PUNCT
ijassa-886	201	19	=	=	VERB
ijassa-886	202	1	j(y	j(y	PROPN
ijassa-886	202	2	+	+	CCONJ
ijassa-886	202	3	βh)−	βh)−	SYM
ijassa-886	202	4	j(y	j(y	PROPN
ijassa-886	202	5	)	)	PUNCT
ijassa-886	203	1	=	=	PUNCT
ijassa-886	203	2	=	=	PUNCT
ijassa-886	204	1	β	β	X
ijassa-886	204	2	∫	∫	PROPN
ijassa-886	204	3	t1	t1	PROPN
ijassa-886	204	4	t0	t0	PROPN
ijassa-886	204	5	h	h	PROPN
ijassa-886	204	6	(	(	PUNCT
ijassa-886	204	7	u′(c(t))e−δt	u′(c(t))e−δt	ADJ
ijassa-886	205	1	+	+	CCONJ
ijassa-886	205	2	d	d	ADP
ijassa-886	205	3	dt	dt	X
ijassa-886	205	4	[	[	X
ijassa-886	205	5	u′(c(t))b(t)e−δt	u′(c(t))b(t)e−δt	X
ijassa-886	205	6	]	]	PUNCT
ijassa-886	205	7	)	)	PUNCT
ijassa-886	205	8	dt+	dt+	NOUN
ijassa-886	205	9	1	1	NUM
ijassa-886	205	10	2	2	NUM
ijassa-886	205	11	β2	β2	NOUN
ijassa-886	205	12	∫	∫	PROPN
ijassa-886	205	13	t1	t1	PROPN
ijassa-886	205	14	t0	t0	PROPN
ijassa-886	206	1	u′′(c(t))[h−b(t)h′]2e−δtdt+	u′′(c(t))[h−b(t)h′]2e−δtdt+	AUX
ijassa-886	206	2	∫	∫	PROPN
ijassa-886	207	1	t1	t1	PROPN
ijassa-886	207	2	t0	t0	PROPN
ijassa-886	208	1	r̃(t)e−δtdt	r̃(t)e−δtdt	PROPN
ijassa-886	208	2	,	,	PUNCT
ijassa-886	208	3	(	(	PUNCT
ijassa-886	208	4	4.40	4.40	NUM
ijassa-886	208	5	)	)	PUNCT
ijassa-886	208	6	where	where	SCONJ
ijassa-886	208	7	r̃(t	r̃(t	NOUN
ijassa-886	208	8	)	)	PUNCT
ijassa-886	208	9	=	=	SYM
ijassa-886	208	10	o(β2[h−b(t)h′]2	o(β2[h−b(t)h′]2	NOUN
ijassa-886	208	11	)	)	PUNCT
ijassa-886	208	12	as	as	ADP
ijassa-886	208	13	β(h−b(t)h′)→	β(h−b(t)h′)→	PROPN
ijassa-886	208	14	0	0	NUM
ijassa-886	208	15	.	.	PUNCT
ijassa-886	209	1	passing	pass	VERB
ijassa-886	209	2	to	to	ADP
ijassa-886	209	3	the	the	DET
ijassa-886	209	4	limit	limit	NOUN
ijassa-886	209	5	β	β	X
ijassa-886	209	6	→	→	SYM
ijassa-886	209	7	0	0	NUM
ijassa-886	209	8	,	,	PUNCT
ijassa-886	209	9	one	one	PRON
ijassa-886	209	10	can	can	AUX
ijassa-886	209	11	see	see	VERB
ijassa-886	209	12	that	that	SCONJ
ijassa-886	209	13	the	the	DET
ijassa-886	209	14	first	first	ADJ
ijassa-886	209	15	term	term	NOUN
ijassa-886	209	16	in	in	ADP
ijassa-886	209	17	the	the	DET
ijassa-886	209	18	right	right	ADJ
ijassa-886	209	19	hand	hand	NOUN
ijassa-886	209	20	side	side	NOUN
ijassa-886	209	21	of	of	ADP
ijassa-886	209	22	(	(	PUNCT
ijassa-886	209	23	4.40	4.40	NUM
ijassa-886	209	24	)	)	PUNCT
ijassa-886	209	25	tends	tend	VERB
ijassa-886	209	26	to	to	ADP
ijassa-886	209	27	zero	zero	NUM
ijassa-886	209	28	with	with	ADP
ijassa-886	209	29	the	the	DET
ijassa-886	209	30	first	first	ADJ
ijassa-886	209	31	order	order	NOUN
ijassa-886	209	32	of	of	ADP
ijassa-886	209	33	smallness	smallness	NOUN
ijassa-886	209	34	,	,	PUNCT
ijassa-886	209	35	while	while	SCONJ
ijassa-886	209	36	the	the	DET
ijassa-886	209	37	second	second	ADJ
ijassa-886	209	38	term	term	NOUN
ijassa-886	209	39	has	have	VERB
ijassa-886	209	40	the	the	DET
ijassa-886	209	41	second	second	ADJ
ijassa-886	209	42	order	order	NOUN
ijassa-886	209	43	of	of	ADP
ijassa-886	209	44	smallness	smallness	NOUN
ijassa-886	209	45	and	and	CCONJ
ijassa-886	209	46	the	the	DET
ijassa-886	209	47	third	third	ADJ
ijassa-886	209	48	term	term	NOUN
ijassa-886	209	49	has	have	VERB
ijassa-886	209	50	the	the	DET
ijassa-886	209	51	order	order	NOUN
ijassa-886	209	52	greater	great	ADJ
ijassa-886	209	53	than	than	ADP
ijassa-886	209	54	two	two	NUM
ijassa-886	209	55	.	.	PUNCT
ijassa-886	210	1	this	this	PRON
ijassa-886	210	2	proves	prove	VERB
ijassa-886	210	3	the	the	DET
ijassa-886	210	4	statement	statement	NOUN
ijassa-886	210	5	.	.	PUNCT
ijassa-886	211	1	now	now	ADV
ijassa-886	211	2	let	let	VERB
ijassa-886	211	3	us	we	PRON
ijassa-886	211	4	prove	prove	VERB
ijassa-886	211	5	that	that	SCONJ
ijassa-886	211	6	the	the	DET
ijassa-886	211	7	first	first	ADJ
ijassa-886	211	8	term	term	NOUN
ijassa-886	211	9	in	in	ADP
ijassa-886	211	10	the	the	DET
ijassa-886	211	11	right	right	ADJ
ijassa-886	211	12	hand	hand	NOUN
ijassa-886	211	13	side	side	NOUN
ijassa-886	211	14	of	of	ADP
ijassa-886	211	15	(	(	PUNCT
ijassa-886	211	16	4.39	4.39	NUM
ijassa-886	211	17	)	)	PUNCT
ijassa-886	211	18	is	be	AUX
ijassa-886	211	19	zero	zero	NUM
ijassa-886	211	20	.	.	PUNCT
ijassa-886	211	21	suppose	suppose	VERB
ijassa-886	211	22	the	the	DET
ijassa-886	211	23	contrary	contrary	NOUN
ijassa-886	211	24	.	.	PUNCT
ijassa-886	212	1	then	then	ADV
ijassa-886	212	2	,	,	PUNCT
ijassa-886	212	3	replacing	replace	VERB
ijassa-886	212	4	β	β	NOUN
ijassa-886	212	5	with−β	with−β	PROPN
ijassa-886	212	6	,	,	PUNCT
ijassa-886	212	7	we	we	PRON
ijassa-886	212	8	change	change	VERB
ijassa-886	212	9	the	the	DET
ijassa-886	212	10	sign	sign	NOUN
ijassa-886	212	11	of	of	ADP
ijassa-886	212	12	the	the	DET
ijassa-886	212	13	first	first	ADJ
ijassa-886	212	14	term	term	NOUN
ijassa-886	212	15	in	in	ADP
ijassa-886	212	16	the	the	DET
ijassa-886	212	17	right	right	ADJ
ijassa-886	212	18	hand	hand	NOUN
ijassa-886	212	19	side	side	NOUN
ijassa-886	212	20	of	of	ADP
ijassa-886	212	21	(	(	PUNCT
ijassa-886	212	22	4.40	4.40	NUM
ijassa-886	212	23	)	)	PUNCT
ijassa-886	212	24	,	,	PUNCT
ijassa-886	212	25	while	while	SCONJ
ijassa-886	212	26	the	the	DET
ijassa-886	212	27	sign	sign	NOUN
ijassa-886	212	28	of	of	ADP
ijassa-886	212	29	the	the	DET
ijassa-886	212	30	left	left	ADJ
ijassa-886	212	31	hand	hand	NOUN
ijassa-886	212	32	side	side	NOUN
ijassa-886	212	33	of	of	ADP
ijassa-886	212	34	(	(	PUNCT
ijassa-886	212	35	4.40	4.40	NUM
ijassa-886	212	36	)	)	PUNCT
ijassa-886	212	37	remains	remain	VERB
ijassa-886	212	38	the	the	DET
ijassa-886	212	39	same	same	ADJ
ijassa-886	212	40	.	.	PUNCT
ijassa-886	213	1	this	this	DET
ijassa-886	213	2	contradiction	contradiction	NOUN
ijassa-886	213	3	shows	show	VERB
ijassa-886	213	4	that	that	SCONJ
ijassa-886	213	5	∫	∫	PROPN
ijassa-886	213	6	t1	t1	PROPN
ijassa-886	213	7	t0	t0	PROPN
ijassa-886	213	8	h	h	PROPN
ijassa-886	213	9	(	(	PUNCT
ijassa-886	213	10	u′(c(t))e−δt	u′(c(t))e−δt	ADJ
ijassa-886	214	1	+	+	CCONJ
ijassa-886	214	2	d	d	ADP
ijassa-886	214	3	dt	dt	X
ijassa-886	215	1	[	[	X
ijassa-886	215	2	u′(c(t))b(t)e−δt	u′(c(t))b(t)e−δt	X
ijassa-886	215	3	]	]	PUNCT
ijassa-886	215	4	)	)	PUNCT
ijassa-886	215	5	dt	dt	X
ijassa-886	216	1	=	=	PUNCT
ijassa-886	216	2	0	0	X
ijassa-886	216	3	.	.	PUNCT
ijassa-886	217	1	by	by	ADP
ijassa-886	217	2	the	the	DET
ijassa-886	217	3	fundamental	fundamental	ADJ
ijassa-886	217	4	lemma	lemma	PROPN
ijassa-886	217	5	of	of	ADP
ijassa-886	217	6	the	the	DET
ijassa-886	217	7	calculus	calculus	NOUN
ijassa-886	217	8	of	of	ADP
ijassa-886	217	9	variations	variation	NOUN
ijassa-886	217	10	,	,	PUNCT
ijassa-886	217	11	this	this	PRON
ijassa-886	217	12	yields	yield	VERB
ijassa-886	217	13	the	the	DET
ijassa-886	217	14	euler	euler	NOUN
ijassa-886	217	15	equation	equation	NOUN
ijassa-886	217	16	u′(c(t))e−δt	u′(c(t))e−δt	ADV
ijassa-886	218	1	+	+	CCONJ
ijassa-886	219	1	d	d	X
ijassa-886	219	2	dt	dt	X
ijassa-886	220	1	[	[	X
ijassa-886	220	2	u′(c(t))b(t)e−δt	u′(c(t))b(t)e−δt	X
ijassa-886	220	3	]	]	X
ijassa-886	220	4	=	=	SYM
ijassa-886	220	5	0	0	X
ijassa-886	220	6	.	.	PUNCT
ijassa-886	221	1	(	(	PUNCT
ijassa-886	221	2	4.41	4.41	NUM
ijassa-886	221	3	)	)	PUNCT
ijassa-886	221	4	taking	take	VERB
ijassa-886	221	5	into	into	ADP
ijassa-886	221	6	account	account	NOUN
ijassa-886	221	7	(	(	PUNCT
ijassa-886	221	8	4.41	4.41	NUM
ijassa-886	221	9	)	)	PUNCT
ijassa-886	221	10	,	,	PUNCT
ijassa-886	221	11	one	one	PRON
ijassa-886	221	12	can	can	AUX
ijassa-886	221	13	simplify	simplify	VERB
ijassa-886	221	14	(	(	PUNCT
ijassa-886	221	15	4.39	4.39	NUM
ijassa-886	221	16	)	)	PUNCT
ijassa-886	221	17	as	as	SCONJ
ijassa-886	221	18	follows	follow	VERB
ijassa-886	221	19	:	:	PUNCT
ijassa-886	221	20	∆j(y	∆j(y	ADJ
ijassa-886	221	21	,	,	PUNCT
ijassa-886	221	22	h	h	NOUN
ijassa-886	221	23	)	)	PUNCT
ijassa-886	221	24	=	=	SYM
ijassa-886	221	25	1	1	NUM
ijassa-886	221	26	2	2	NUM
ijassa-886	221	27	∫	∫	NOUN
ijassa-886	221	28	t1	t1	NOUN
ijassa-886	221	29	t0	t0	PROPN
ijassa-886	221	30	u′′(c(t))[h−b(t)h′]2e−δtdt+	u′′(c(t))[h−b(t)h′]2e−δtdt+	AUX
ijassa-886	222	1	∫	∫	PROPN
ijassa-886	222	2	t1	t1	PROPN
ijassa-886	222	3	t0	t0	PROPN
ijassa-886	223	1	r(t)e−δtdt	r(t)e−δtdt	NUM
ijassa-886	223	2	.	.	PUNCT
ijassa-886	224	1	(	(	PUNCT
ijassa-886	224	2	4.42	4.42	NUM
ijassa-886	224	3	)	)	PUNCT
ijassa-886	224	4	let	let	VERB
ijassa-886	224	5	us	we	PRON
ijassa-886	224	6	check	check	VERB
ijassa-886	224	7	that	that	SCONJ
ijassa-886	224	8	the	the	DET
ijassa-886	224	9	solution	solution	NOUN
ijassa-886	224	10	of	of	ADP
ijassa-886	224	11	the	the	DET
ijassa-886	224	12	euler	euler	NOUN
ijassa-886	224	13	equation	equation	NOUN
ijassa-886	224	14	(	(	PUNCT
ijassa-886	224	15	4.41	4.41	NUM
ijassa-886	224	16	)	)	PUNCT
ijassa-886	224	17	with	with	ADP
ijassa-886	224	18	the	the	DET
ijassa-886	224	19	boundary	boundary	ADJ
ijassa-886	224	20	conditions	condition	NOUN
ijassa-886	224	21	(	(	PUNCT
ijassa-886	224	22	2.4	2.4	NUM
ijassa-886	224	23	)	)	PUNCT
ijassa-886	224	24	and	and	CCONJ
ijassa-886	224	25	(	(	PUNCT
ijassa-886	224	26	4.36	4.36	NUM
ijassa-886	224	27	)	)	PUNCT
ijassa-886	224	28	,	,	PUNCT
ijassa-886	224	29	and	and	CCONJ
ijassa-886	224	30	consequently	consequently	ADV
ijassa-886	224	31	,	,	PUNCT
ijassa-886	224	32	(	(	PUNCT
ijassa-886	224	33	4.37	4.37	NUM
ijassa-886	224	34	)	)	PUNCT
ijassa-886	224	35	,	,	PUNCT
ijassa-886	224	36	give	give	VERB
ijassa-886	224	37	the	the	DET
ijassa-886	224	38	maximum	maximum	NOUN
ijassa-886	224	39	of	of	ADP
ijassa-886	224	40	the	the	DET
ijassa-886	224	41	functional	functional	ADJ
ijassa-886	224	42	(	(	PUNCT
ijassa-886	224	43	4.25	4.25	NUM
ijassa-886	224	44	)	)	PUNCT
ijassa-886	224	45	,	,	PUNCT
ijassa-886	224	46	or	or	CCONJ
ijassa-886	224	47	copyright	copyright	NOUN
ijassa-886	224	48	©	©	PROPN
ijassa-886	224	49	2020	2020	NUM
ijassa-886	224	50	assa	assa	NOUN
ijassa-886	224	51	.	.	PUNCT
ijassa-886	225	1	adv	adv	PROPN
ijassa-886	225	2	syst	syst	PROPN
ijassa-886	225	3	sci	sci	PROPN
ijassa-886	225	4	appl	appl	PROPN
ijassa-886	225	5	(	(	PUNCT
ijassa-886	225	6	2020	2020	NUM
ijassa-886	225	7	)	)	PUNCT
ijassa-886	225	8	dynamic	dynamic	ADJ
ijassa-886	225	9	models	model	NOUN
ijassa-886	225	10	of	of	ADP
ijassa-886	225	11	economic	economic	ADJ
ijassa-886	225	12	growth	growth	NOUN
ijassa-886	225	13	79	79	NUM
ijassa-886	225	14	equivalently	equivalently	ADV
ijassa-886	225	15	,	,	PUNCT
ijassa-886	225	16	(	(	PUNCT
ijassa-886	225	17	4.31	4.31	NUM
ijassa-886	225	18	)	)	PUNCT
ijassa-886	225	19	.	.	PUNCT
ijassa-886	226	1	first	first	ADV
ijassa-886	226	2	,	,	PUNCT
ijassa-886	226	3	we	we	PRON
ijassa-886	226	4	remark	remark	VERB
ijassa-886	226	5	that	that	SCONJ
ijassa-886	226	6	the	the	DET
ijassa-886	226	7	sign	sign	NOUN
ijassa-886	226	8	of	of	ADP
ijassa-886	226	9	the	the	DET
ijassa-886	226	10	left	left	ADJ
ijassa-886	226	11	hand	hand	NOUN
ijassa-886	226	12	side	side	NOUN
ijassa-886	226	13	of	of	ADP
ijassa-886	226	14	(	(	PUNCT
ijassa-886	226	15	4.42	4.42	NUM
ijassa-886	226	16	)	)	PUNCT
ijassa-886	226	17	coincides	coincide	VERB
ijassa-886	226	18	with	with	ADP
ijassa-886	226	19	the	the	DET
ijassa-886	226	20	sign	sign	NOUN
ijassa-886	226	21	of	of	ADP
ijassa-886	226	22	the	the	DET
ijassa-886	226	23	first	first	ADJ
ijassa-886	226	24	term	term	NOUN
ijassa-886	226	25	in	in	ADP
ijassa-886	226	26	the	the	DET
ijassa-886	226	27	right	right	ADJ
ijassa-886	226	28	hand	hand	NOUN
ijassa-886	226	29	side	side	NOUN
ijassa-886	226	30	of	of	ADP
ijassa-886	226	31	(	(	PUNCT
ijassa-886	226	32	4.42	4.42	NUM
ijassa-886	226	33	)	)	PUNCT
ijassa-886	226	34	.	.	PUNCT
ijassa-886	227	1	indeed	indeed	ADV
ijassa-886	227	2	,	,	PUNCT
ijassa-886	227	3	replacing	replace	VERB
ijassa-886	227	4	in	in	ADP
ijassa-886	227	5	(	(	PUNCT
ijassa-886	227	6	4.42	4.42	NUM
ijassa-886	227	7	)	)	PUNCT
ijassa-886	227	8	h	h	NOUN
ijassa-886	227	9	with	with	ADP
ijassa-886	227	10	βh	βh	ADP
ijassa-886	227	11	,	,	PUNCT
ijassa-886	227	12	where	where	SCONJ
ijassa-886	227	13	β	β	X
ijassa-886	227	14	=	=	SYM
ijassa-886	227	15	const	const	PROPN
ijassa-886	227	16	,	,	PUNCT
ijassa-886	227	17	we	we	PRON
ijassa-886	227	18	have	have	AUX
ijassa-886	227	19	∆j(y	∆j(y	VERB
ijassa-886	227	20	,	,	PUNCT
ijassa-886	227	21	βh	βh	ADP
ijassa-886	227	22	)	)	PUNCT
ijassa-886	227	23	=	=	SYM
ijassa-886	227	24	1	1	NUM
ijassa-886	227	25	2	2	NUM
ijassa-886	227	26	β2	β2	NOUN
ijassa-886	227	27	∫	∫	PROPN
ijassa-886	227	28	t1	t1	PROPN
ijassa-886	227	29	t0	t0	PROPN
ijassa-886	228	1	u′′(c(t))[h−b(t)h′]2e−δtdt+	u′′(c(t))[h−b(t)h′]2e−δtdt+	AUX
ijassa-886	228	2	∫	∫	PROPN
ijassa-886	229	1	t1	t1	PROPN
ijassa-886	229	2	t0	t0	PROPN
ijassa-886	230	1	r̃(t)e−δtdt	r̃(t)e−δtdt	PROPN
ijassa-886	230	2	.	.	PUNCT
ijassa-886	231	1	(	(	PUNCT
ijassa-886	231	2	4.43	4.43	NUM
ijassa-886	231	3	)	)	PUNCT
ijassa-886	231	4	here	here	ADV
ijassa-886	231	5	r̃(t	r̃(t	NOUN
ijassa-886	231	6	)	)	PUNCT
ijassa-886	232	1	=	=	SYM
ijassa-886	232	2	o(β2[h−b(t)h′]2	o(β2[h−b(t)h′]2	NOUN
ijassa-886	232	3	)	)	PUNCT
ijassa-886	232	4	as	as	ADP
ijassa-886	232	5	β(h−b(t)h′)→	β(h−b(t)h′)→	PROPN
ijassa-886	232	6	0	0	NUM
ijassa-886	232	7	.	.	PUNCT
ijassa-886	233	1	passing	pass	VERB
ijassa-886	233	2	to	to	ADP
ijassa-886	233	3	the	the	DET
ijassa-886	233	4	limit	limit	NOUN
ijassa-886	233	5	β	β	X
ijassa-886	233	6	→	→	SYM
ijassa-886	233	7	0	0	NUM
ijassa-886	233	8	,	,	PUNCT
ijassa-886	233	9	one	one	PRON
ijassa-886	233	10	can	can	AUX
ijassa-886	233	11	see	see	VERB
ijassa-886	233	12	that	that	SCONJ
ijassa-886	233	13	the	the	DET
ijassa-886	233	14	first	first	ADJ
ijassa-886	233	15	term	term	NOUN
ijassa-886	233	16	tends	tend	VERB
ijassa-886	233	17	to	to	ADP
ijassa-886	233	18	zero	zero	NUM
ijassa-886	233	19	with	with	ADP
ijassa-886	233	20	the	the	DET
ijassa-886	233	21	second	second	ADJ
ijassa-886	233	22	order	order	NOUN
ijassa-886	233	23	of	of	ADP
ijassa-886	233	24	smallness	smallness	NOUN
ijassa-886	233	25	,	,	PUNCT
ijassa-886	233	26	while	while	SCONJ
ijassa-886	233	27	the	the	DET
ijassa-886	233	28	second	second	ADJ
ijassa-886	233	29	term	term	NOUN
ijassa-886	233	30	the	the	DET
ijassa-886	233	31	order	order	NOUN
ijassa-886	233	32	greater	great	ADJ
ijassa-886	233	33	than	than	ADP
ijassa-886	233	34	two	two	NUM
ijassa-886	233	35	.	.	PUNCT
ijassa-886	234	1	therefore	therefore	ADV
ijassa-886	234	2	,	,	PUNCT
ijassa-886	234	3	the	the	DET
ijassa-886	234	4	sign	sign	NOUN
ijassa-886	234	5	of	of	ADP
ijassa-886	234	6	the	the	DET
ijassa-886	234	7	left	left	ADJ
ijassa-886	234	8	side	side	NOUN
ijassa-886	234	9	of	of	ADP
ijassa-886	234	10	(	(	PUNCT
ijassa-886	234	11	4.43	4.43	NUM
ijassa-886	234	12	)	)	PUNCT
ijassa-886	234	13	coincides	coincide	VERB
ijassa-886	234	14	with	with	ADP
ijassa-886	234	15	the	the	DET
ijassa-886	234	16	sign	sign	NOUN
ijassa-886	234	17	of	of	ADP
ijassa-886	234	18	the	the	DET
ijassa-886	234	19	first	first	ADJ
ijassa-886	234	20	term	term	NOUN
ijassa-886	234	21	in	in	ADP
ijassa-886	234	22	the	the	DET
ijassa-886	234	23	right	right	ADJ
ijassa-886	234	24	hand	hand	NOUN
ijassa-886	234	25	side	side	NOUN
ijassa-886	234	26	of	of	ADP
ijassa-886	234	27	(	(	PUNCT
ijassa-886	234	28	4.43	4.43	NUM
ijassa-886	234	29	)	)	PUNCT
ijassa-886	234	30	.	.	PUNCT
ijassa-886	235	1	it	it	PRON
ijassa-886	235	2	remains	remain	VERB
ijassa-886	235	3	to	to	PART
ijassa-886	235	4	use	use	VERB
ijassa-886	235	5	the	the	DET
ijassa-886	235	6	inequality	inequality	NOUN
ijassa-886	235	7	u′′(c(t	u′′(c(t	NOUN
ijassa-886	235	8	)	)	PUNCT
ijassa-886	235	9	)	)	PUNCT
ijassa-886	236	1	≤	≤	ADV
ijassa-886	236	2	0	0	NUM
ijassa-886	236	3	,	,	PUNCT
ijassa-886	236	4	which	which	PRON
ijassa-886	236	5	follows	follow	VERB
ijassa-886	236	6	from	from	ADP
ijassa-886	236	7	(	(	PUNCT
ijassa-886	236	8	4.26	4.26	NUM
ijassa-886	236	9	)	)	PUNCT
ijassa-886	236	10	.	.	PUNCT
ijassa-886	237	1	taking	take	VERB
ijassa-886	237	2	into	into	ADP
ijassa-886	237	3	account	account	NOUN
ijassa-886	237	4	(	(	PUNCT
ijassa-886	237	5	4.27	4.27	NUM
ijassa-886	237	6	)	)	PUNCT
ijassa-886	237	7	,	,	PUNCT
ijassa-886	237	8	we	we	PRON
ijassa-886	237	9	can	can	AUX
ijassa-886	237	10	write	write	VERB
ijassa-886	237	11	equation	equation	NOUN
ijassa-886	237	12	(	(	PUNCT
ijassa-886	237	13	4.41	4.41	NUM
ijassa-886	237	14	)	)	PUNCT
ijassa-886	237	15	in	in	ADP
ijassa-886	237	16	the	the	DET
ijassa-886	237	17	form	form	NOUN
ijassa-886	237	18	g(c(t))e−δt	g(c(t))e−δt	NOUN
ijassa-886	238	1	+	+	CCONJ
ijassa-886	238	2	d	d	NOUN
ijassa-886	238	3	dt	dt	X
ijassa-886	239	1	[	[	X
ijassa-886	239	2	g(c(t))b(t)e−δt	g(c(t))b(t)e−δt	X
ijassa-886	239	3	]	]	X
ijassa-886	239	4	=	=	SYM
ijassa-886	239	5	0	0	X
ijassa-886	239	6	.	.	PUNCT
ijassa-886	239	7	(	(	PUNCT
ijassa-886	239	8	4.44	4.44	NUM
ijassa-886	239	9	)	)	PUNCT
ijassa-886	239	10	the	the	DET
ijassa-886	239	11	change	change	NOUN
ijassa-886	239	12	of	of	ADP
ijassa-886	239	13	variables	variable	NOUN
ijassa-886	239	14	w	w	PROPN
ijassa-886	239	15	=	=	ADJ
ijassa-886	239	16	g(c(t))b(t)e−δt	g(c(t))b(t)e−δt	ADJ
ijassa-886	239	17	,	,	PUNCT
ijassa-886	239	18	(	(	PUNCT
ijassa-886	239	19	4.45	4.45	NUM
ijassa-886	239	20	)	)	PUNCT
ijassa-886	239	21	i.e.	i.e.	X
ijassa-886	239	22	,	,	PUNCT
ijassa-886	239	23	g(c(t))e−δt	g(c(t))e−δt	PROPN
ijassa-886	239	24	=	=	SYM
ijassa-886	239	25	w	w	PROPN
ijassa-886	239	26	/	/	SYM
ijassa-886	239	27	b(t	b(t	NOUN
ijassa-886	239	28	)	)	PUNCT
ijassa-886	239	29	,	,	PUNCT
ijassa-886	239	30	transforms	transform	VERB
ijassa-886	239	31	equation	equation	NOUN
ijassa-886	239	32	(	(	PUNCT
ijassa-886	239	33	4.44	4.44	NUM
ijassa-886	239	34	)	)	PUNCT
ijassa-886	239	35	into	into	ADP
ijassa-886	239	36	w	w	PROPN
ijassa-886	239	37	b(t	b(t	PROPN
ijassa-886	239	38	)	)	PUNCT
ijassa-886	240	1	+	+	CCONJ
ijassa-886	240	2	dw	dw	NOUN
ijassa-886	240	3	dt	dt	NOUN
ijassa-886	240	4	=	=	NOUN
ijassa-886	240	5	0	0	X
ijassa-886	240	6	.	.	PUNCT
ijassa-886	240	7	integrating	integrate	VERB
ijassa-886	240	8	the	the	DET
ijassa-886	240	9	latter	latter	ADJ
ijassa-886	240	10	equation	equation	NOUN
ijassa-886	240	11	,	,	PUNCT
ijassa-886	240	12	we	we	PRON
ijassa-886	240	13	obtain	obtain	VERB
ijassa-886	240	14	w	w	NOUN
ijassa-886	240	15	=	=	PROPN
ijassa-886	240	16	c1	c1	PROPN
ijassa-886	240	17	exp	exp	NOUN
ijassa-886	240	18	{	{	PUNCT
ijassa-886	240	19	−	−	PROPN
ijassa-886	240	20	∫	∫	PROPN
ijassa-886	240	21	t	t	PROPN
ijassa-886	240	22	t0	t0	PROPN
ijassa-886	240	23	dτ	dτ	PROPN
ijassa-886	240	24	b(τ	b(τ	PROPN
ijassa-886	240	25	)	)	PUNCT
ijassa-886	240	26	}	}	PUNCT
ijassa-886	240	27	,	,	PUNCT
ijassa-886	240	28	c1	c1	PROPN
ijassa-886	240	29	=	=	SYM
ijassa-886	240	30	const	const	PROPN
ijassa-886	240	31	.	.	PUNCT
ijassa-886	241	1	substituting	substitute	VERB
ijassa-886	241	2	the	the	DET
ijassa-886	241	3	obtained	obtain	VERB
ijassa-886	241	4	equality	equality	NOUN
ijassa-886	241	5	in	in	ADP
ijassa-886	241	6	(	(	PUNCT
ijassa-886	241	7	4.45	4.45	NUM
ijassa-886	241	8	)	)	PUNCT
ijassa-886	241	9	,	,	PUNCT
ijassa-886	241	10	after	after	ADP
ijassa-886	241	11	obvious	obvious	ADJ
ijassa-886	241	12	transformations	transformation	NOUN
ijassa-886	241	13	we	we	PRON
ijassa-886	241	14	obtain	obtain	VERB
ijassa-886	241	15	g(c(t	g(c(t	NOUN
ijassa-886	241	16	)	)	PUNCT
ijassa-886	241	17	)	)	PUNCT
ijassa-886	242	1	=	=	SYM
ijassa-886	242	2	1	1	NUM
ijassa-886	242	3	b(t	b(t	NOUN
ijassa-886	242	4	)	)	PUNCT
ijassa-886	242	5	c1	c1	PROPN
ijassa-886	242	6	exp	exp	NOUN
ijassa-886	242	7	{	{	PUNCT
ijassa-886	242	8	δt−	δt−	NUM
ijassa-886	242	9	∫	∫	PROPN
ijassa-886	242	10	t	t	PROPN
ijassa-886	242	11	t0	t0	PROPN
ijassa-886	242	12	dτ	dτ	PROPN
ijassa-886	242	13	b(τ	b(τ	PROPN
ijassa-886	242	14	)	)	PUNCT
ijassa-886	242	15	}	}	PUNCT
ijassa-886	242	16	,	,	PUNCT
ijassa-886	242	17	c1	c1	PROPN
ijassa-886	242	18	=	=	SYM
ijassa-886	242	19	const	const	X
ijassa-886	242	20	>	>	X
ijassa-886	242	21	0	0	NUM
ijassa-886	242	22	.	.	PUNCT
ijassa-886	243	1	(	(	PUNCT
ijassa-886	243	2	4.46	4.46	NUM
ijassa-886	243	3	)	)	PUNCT
ijassa-886	243	4	finally	finally	ADV
ijassa-886	243	5	,	,	PUNCT
ijassa-886	243	6	recall	recall	VERB
ijassa-886	243	7	that	that	DET
ijassa-886	243	8	g(c	g(c	NOUN
ijassa-886	243	9	)	)	PUNCT
ijassa-886	243	10	monotonically	monotonically	ADV
ijassa-886	243	11	decreases	decrease	VERB
ijassa-886	243	12	.	.	PUNCT
ijassa-886	244	1	therefore	therefore	ADV
ijassa-886	244	2	,	,	PUNCT
ijassa-886	244	3	it	it	PRON
ijassa-886	244	4	is	be	AUX
ijassa-886	244	5	invertible	invertible	ADJ
ijassa-886	244	6	,	,	PUNCT
ijassa-886	244	7	and	and	CCONJ
ijassa-886	244	8	c(t	c(t	PROPN
ijassa-886	244	9	)	)	PUNCT
ijassa-886	244	10	=	=	SYM
ijassa-886	245	1	g−1	g−1	PROPN
ijassa-886	245	2	[	[	PUNCT
ijassa-886	245	3	1	1	NUM
ijassa-886	245	4	b(t	b(t	NOUN
ijassa-886	245	5	)	)	PUNCT
ijassa-886	245	6	c1	c1	PROPN
ijassa-886	245	7	exp	exp	NOUN
ijassa-886	245	8	{	{	PUNCT
ijassa-886	245	9	δt−	δt−	NUM
ijassa-886	245	10	∫	∫	PROPN
ijassa-886	245	11	t	t	PROPN
ijassa-886	245	12	t0	t0	PROPN
ijassa-886	245	13	dτ	dτ	PROPN
ijassa-886	245	14	b(τ	b(τ	PROPN
ijassa-886	245	15	)	)	PUNCT
ijassa-886	245	16	}	}	PUNCT
ijassa-886	245	17	]	]	PUNCT
ijassa-886	245	18	,	,	PUNCT
ijassa-886	245	19	c1	c1	PROPN
ijassa-886	245	20	=	=	SYM
ijassa-886	245	21	const	const	X
ijassa-886	245	22	>	>	X
ijassa-886	245	23	0	0	NUM
ijassa-886	245	24	.	.	PUNCT
ijassa-886	246	1	(	(	PUNCT
ijassa-886	246	2	4.47	4.47	X
ijassa-886	246	3	)	)	PUNCT
ijassa-886	246	4	taking	take	VERB
ijassa-886	246	5	into	into	ADP
ijassa-886	246	6	account	account	NOUN
ijassa-886	246	7	(	(	PUNCT
ijassa-886	246	8	4.27	4.27	NUM
ijassa-886	246	9	)	)	PUNCT
ijassa-886	246	10	,	,	PUNCT
ijassa-886	246	11	from	from	ADP
ijassa-886	246	12	(	(	PUNCT
ijassa-886	246	13	4.47	4.47	NUM
ijassa-886	246	14	)	)	PUNCT
ijassa-886	246	15	it	it	PRON
ijassa-886	246	16	follows	follow	VERB
ijassa-886	246	17	(	(	PUNCT
ijassa-886	246	18	4.30	4.30	NUM
ijassa-886	246	19	)	)	PUNCT
ijassa-886	246	20	.	.	PUNCT
ijassa-886	247	1	the	the	DET
ijassa-886	247	2	proof	proof	NOUN
ijassa-886	247	3	is	be	AUX
ijassa-886	247	4	complete	complete	ADJ
ijassa-886	247	5	.	.	PUNCT
ijassa-886	248	1	remark	remark	VERB
ijassa-886	248	2	4.1	4.1	NUM
ijassa-886	248	3	:	:	PUNCT
ijassa-886	248	4	the	the	DET
ijassa-886	248	5	consumption	consumption	NOUN
ijassa-886	248	6	function	function	NOUN
ijassa-886	248	7	(	(	PUNCT
ijassa-886	248	8	4.30	4.30	NUM
ijassa-886	248	9	)	)	PUNCT
ijassa-886	248	10	can	can	AUX
ijassa-886	248	11	be	be	AUX
ijassa-886	248	12	also	also	ADV
ijassa-886	248	13	written	write	VERB
ijassa-886	248	14	in	in	ADP
ijassa-886	248	15	the	the	DET
ijassa-886	248	16	form	form	NOUN
ijassa-886	248	17	c(t	c(t	PROPN
ijassa-886	248	18	)	)	PUNCT
ijassa-886	249	1	=	=	NOUN
ijassa-886	249	2	[	[	PUNCT
ijassa-886	249	3	γb(t	γb(t	NOUN
ijassa-886	249	4	)	)	PUNCT
ijassa-886	249	5	c1	c1	NOUN
ijassa-886	249	6	]	]	PUNCT
ijassa-886	249	7	1	1	NUM
ijassa-886	249	8	a	a	DET
ijassa-886	249	9	exp	exp	NOUN
ijassa-886	249	10	{	{	PUNCT
ijassa-886	249	11	1	1	NUM
ijassa-886	249	12	a	a	DET
ijassa-886	249	13	[	[	X
ijassa-886	249	14	∫	∫	X
ijassa-886	249	15	t	t	PROPN
ijassa-886	249	16	t0	t0	PROPN
ijassa-886	249	17	dτ	dτ	PROPN
ijassa-886	249	18	b(τ	b(τ	PROPN
ijassa-886	249	19	)	)	PUNCT
ijassa-886	249	20	−	−	PROPN
ijassa-886	249	21	δt	δt	X
ijassa-886	249	22	]	]	X
ijassa-886	249	23	}	}	PUNCT
ijassa-886	249	24	.	.	PUNCT
ijassa-886	250	1	(	(	PUNCT
ijassa-886	250	2	4.48	4.48	NUM
ijassa-886	250	3	)	)	PUNCT
ijassa-886	250	4	proof	proof	NOUN
ijassa-886	250	5	from	from	ADP
ijassa-886	250	6	(	(	PUNCT
ijassa-886	250	7	4.28	4.28	NUM
ijassa-886	250	8	)	)	PUNCT
ijassa-886	250	9	and	and	CCONJ
ijassa-886	250	10	(	(	PUNCT
ijassa-886	250	11	4.46	4.46	NUM
ijassa-886	250	12	)	)	PUNCT
ijassa-886	250	13	we	we	PRON
ijassa-886	250	14	have	have	VERB
ijassa-886	250	15	the	the	DET
ijassa-886	250	16	equality	equality	NOUN
ijassa-886	250	17	[	[	X
ijassa-886	250	18	c(t)]a	c(t)]a	NOUN
ijassa-886	250	19	=	=	SYM
ijassa-886	250	20	γb(t	γb(t	NOUN
ijassa-886	250	21	)	)	PUNCT
ijassa-886	250	22	c1	c1	PROPN
ijassa-886	250	23	exp	exp	PROPN
ijassa-886	250	24	{	{	PUNCT
ijassa-886	250	25	∫	∫	PROPN
ijassa-886	250	26	t	t	PROPN
ijassa-886	250	27	t0	t0	PROPN
ijassa-886	250	28	dτ	dτ	PROPN
ijassa-886	250	29	b(τ	b(τ	PROPN
ijassa-886	250	30	)	)	PUNCT
ijassa-886	250	31	−	−	PROPN
ijassa-886	250	32	δt	δt	ADP
ijassa-886	250	33	}	}	PUNCT
ijassa-886	250	34	,	,	PUNCT
ijassa-886	250	35	(	(	PUNCT
ijassa-886	250	36	4.49	4.49	NUM
ijassa-886	250	37	)	)	PUNCT
ijassa-886	250	38	which	which	PRON
ijassa-886	250	39	can	can	AUX
ijassa-886	250	40	be	be	AUX
ijassa-886	250	41	resolves	resolve	NOUN
ijassa-886	250	42	by	by	ADP
ijassa-886	250	43	c	c	NOUN
ijassa-886	250	44	and	and	CCONJ
ijassa-886	250	45	it	it	PRON
ijassa-886	250	46	gives	give	VERB
ijassa-886	250	47	(	(	PUNCT
ijassa-886	250	48	4.48	4.48	NUM
ijassa-886	250	49	)	)	PUNCT
ijassa-886	250	50	.	.	PUNCT
ijassa-886	251	1	copyright	copyright	NOUN
ijassa-886	251	2	©	©	PROPN
ijassa-886	251	3	2020	2020	NUM
ijassa-886	251	4	assa	assa	NOUN
ijassa-886	251	5	.	.	PUNCT
ijassa-886	252	1	adv	adv	PROPN
ijassa-886	252	2	syst	syst	PROPN
ijassa-886	252	3	sci	sci	PROPN
ijassa-886	252	4	appl	appl	PROPN
ijassa-886	252	5	(	(	PUNCT
ijassa-886	252	6	2020	2020	NUM
ijassa-886	252	7	)	)	PUNCT
ijassa-886	252	8	80	80	NUM
ijassa-886	252	9	a.p	a.p	PROPN
ijassa-886	252	10	.	.	PROPN
ijassa-886	252	11	chernyaev	chernyaev	PROPN
ijassa-886	252	12	remark	remark	VERB
ijassa-886	252	13	4.2	4.2	NUM
ijassa-886	252	14	:	:	PUNCT
ijassa-886	252	15	the	the	DET
ijassa-886	252	16	consumption	consumption	NOUN
ijassa-886	252	17	function	function	NOUN
ijassa-886	252	18	(	(	PUNCT
ijassa-886	252	19	4.30	4.30	NUM
ijassa-886	252	20	)	)	PUNCT
ijassa-886	252	21	or	or	CCONJ
ijassa-886	252	22	,	,	PUNCT
ijassa-886	252	23	equivalently	equivalently	ADV
ijassa-886	252	24	,	,	PUNCT
ijassa-886	252	25	(	(	PUNCT
ijassa-886	252	26	4.48	4.48	NUM
ijassa-886	252	27	)	)	PUNCT
ijassa-886	252	28	gives	give	VERB
ijassa-886	252	29	the	the	DET
ijassa-886	252	30	maximum	maximum	NOUN
ijassa-886	252	31	in	in	ADP
ijassa-886	252	32	the	the	DET
ijassa-886	252	33	variation	variation	NOUN
ijassa-886	252	34	problem	problem	NOUN
ijassa-886	252	35	(	(	PUNCT
ijassa-886	252	36	4.25	4.25	NUM
ijassa-886	252	37	)	)	PUNCT
ijassa-886	252	38	with	with	ADP
ijassa-886	252	39	fixed	fix	VERB
ijassa-886	252	40	boundary	boundary	ADJ
ijassa-886	252	41	conditions	condition	NOUN
ijassa-886	252	42	(	(	PUNCT
ijassa-886	252	43	2.4	2.4	NUM
ijassa-886	252	44	)	)	PUNCT
ijassa-886	252	45	and	and	CCONJ
ijassa-886	252	46	(	(	PUNCT
ijassa-886	252	47	4.36	4.36	NUM
ijassa-886	252	48	)	)	PUNCT
ijassa-886	252	49	.	.	PUNCT
ijassa-886	253	1	formula	formula	NOUN
ijassa-886	253	2	(	(	PUNCT
ijassa-886	253	3	4.49	4.49	NUM
ijassa-886	253	4	)	)	PUNCT
ijassa-886	253	5	expresses	express	VERB
ijassa-886	253	6	the	the	DET
ijassa-886	253	7	consumption	consumption	NOUN
ijassa-886	253	8	under	under	ADP
ijassa-886	253	9	the	the	DET
ijassa-886	253	10	condition	condition	NOUN
ijassa-886	253	11	(	(	PUNCT
ijassa-886	253	12	4.26	4.26	NUM
ijassa-886	253	13	)	)	PUNCT
ijassa-886	253	14	,	,	PUNCT
ijassa-886	253	15	which	which	PRON
ijassa-886	253	16	means	mean	VERB
ijassa-886	253	17	that	that	SCONJ
ijassa-886	253	18	the	the	DET
ijassa-886	253	19	utility	utility	NOUN
ijassa-886	253	20	function	function	NOUN
ijassa-886	253	21	satisfies	satisfy	VERB
ijassa-886	253	22	the	the	DET
ijassa-886	253	23	constant	constant	ADJ
ijassa-886	253	24	risk	risk	NOUN
ijassa-886	253	25	aversion	aversion	NOUN
ijassa-886	253	26	according	accord	VERB
ijassa-886	253	27	to	to	ADP
ijassa-886	253	28	arrow	arrow	NOUN
ijassa-886	253	29	-	-	PUNCT
ijassa-886	253	30	pratt	pratt	NOUN
ijassa-886	253	31	.	.	PUNCT
ijassa-886	254	1	it	it	PRON
ijassa-886	254	2	is	be	AUX
ijassa-886	254	3	very	very	ADV
ijassa-886	254	4	convenient	convenient	ADJ
ijassa-886	254	5	to	to	PART
ijassa-886	254	6	formulate	formulate	VERB
ijassa-886	254	7	the	the	DET
ijassa-886	254	8	above	above	ADJ
ijassa-886	254	9	problems	problem	NOUN
ijassa-886	254	10	using	use	VERB
ijassa-886	254	11	the	the	DET
ijassa-886	254	12	terminology	terminology	NOUN
ijassa-886	254	13	from	from	ADP
ijassa-886	254	14	the	the	DET
ijassa-886	254	15	control	control	NOUN
ijassa-886	254	16	theory	theory	NOUN
ijassa-886	254	17	.	.	PUNCT
ijassa-886	255	1	the	the	DET
ijassa-886	255	2	problem	problem	NOUN
ijassa-886	255	3	of	of	ADP
ijassa-886	255	4	maximization	maximization	NOUN
ijassa-886	255	5	of	of	ADP
ijassa-886	255	6	the	the	DET
ijassa-886	255	7	functional	functional	ADJ
ijassa-886	255	8	(	(	PUNCT
ijassa-886	255	9	4.25	4.25	NUM
ijassa-886	255	10	)	)	PUNCT
ijassa-886	255	11	under	under	ADP
ijassa-886	255	12	constraints	constraint	NOUN
ijassa-886	255	13	(	(	PUNCT
ijassa-886	255	14	2.1	2.1	NUM
ijassa-886	255	15	)	)	PUNCT
ijassa-886	255	16	,	,	PUNCT
ijassa-886	255	17	(	(	PUNCT
ijassa-886	255	18	2.4	2.4	NUM
ijassa-886	255	19	)	)	PUNCT
ijassa-886	255	20	,	,	PUNCT
ijassa-886	255	21	(	(	PUNCT
ijassa-886	255	22	4.36	4.36	NUM
ijassa-886	255	23	)	)	PUNCT
ijassa-886	255	24	,	,	PUNCT
ijassa-886	255	25	and	and	CCONJ
ijassa-886	255	26	the	the	DET
ijassa-886	255	27	additional	additional	ADJ
ijassa-886	255	28	restriction	restriction	NOUN
ijassa-886	255	29	0	0	PUNCT
ijassa-886	255	30	<	<	X
ijassa-886	255	31	c	c	X
ijassa-886	255	32	≤	≤	X
ijassa-886	255	33	c(t	c(t	PROPN
ijassa-886	255	34	)	)	PUNCT
ijassa-886	255	35	≤	≤	PUNCT
ijassa-886	255	36	c	c	X
ijassa-886	255	37	<	<	X
ijassa-886	255	38	+	+	ADJ
ijassa-886	255	39	∞	∞	PROPN
ijassa-886	255	40	(	(	PUNCT
ijassa-886	255	41	4.50	4.50	NUM
ijassa-886	255	42	)	)	PUNCT
ijassa-886	255	43	is	be	AUX
ijassa-886	255	44	called	call	VERB
ijassa-886	255	45	the	the	DET
ijassa-886	255	46	pontryagin	pontryagin	NOUN
ijassa-886	255	47	problem	problem	NOUN
ijassa-886	255	48	.	.	PUNCT
ijassa-886	256	1	in	in	ADP
ijassa-886	256	2	the	the	DET
ijassa-886	256	3	inequality	inequality	NOUN
ijassa-886	256	4	(	(	PUNCT
ijassa-886	256	5	4.50	4.50	NUM
ijassa-886	256	6	)	)	PUNCT
ijassa-886	256	7	,	,	PUNCT
ijassa-886	256	8	the	the	DET
ijassa-886	256	9	lower	lower	ADV
ijassa-886	256	10	bound	bind	VERB
ijassa-886	256	11	c	c	PROPN
ijassa-886	256	12	means	mean	VERB
ijassa-886	256	13	the	the	DET
ijassa-886	256	14	total	total	ADJ
ijassa-886	256	15	subsistence	subsistence	NOUN
ijassa-886	256	16	minimum	minimum	NOUN
ijassa-886	256	17	and	and	CCONJ
ijassa-886	256	18	the	the	DET
ijassa-886	256	19	upper	upper	ADJ
ijassa-886	256	20	bound	bind	VERB
ijassa-886	256	21	c	c	PROPN
ijassa-886	256	22	is	be	AUX
ijassa-886	256	23	the	the	DET
ijassa-886	256	24	total	total	ADJ
ijassa-886	256	25	subsistence	subsistence	NOUN
ijassa-886	256	26	maximum	maximum	NOUN
ijassa-886	256	27	.	.	PUNCT
ijassa-886	257	1	in	in	ADP
ijassa-886	257	2	turn	turn	NOUN
ijassa-886	257	3	,	,	PUNCT
ijassa-886	257	4	the	the	DET
ijassa-886	257	5	pontryagin	pontryagin	NOUN
ijassa-886	257	6	problem	problem	NOUN
ijassa-886	257	7	can	can	AUX
ijassa-886	257	8	be	be	AUX
ijassa-886	257	9	also	also	ADV
ijassa-886	257	10	formulated	formulate	VERB
ijassa-886	257	11	with	with	ADP
ijassa-886	257	12	an	an	DET
ijassa-886	257	13	additional	additional	ADJ
ijassa-886	257	14	phase	phase	NOUN
ijassa-886	257	15	constraint	constraint	NOUN
ijassa-886	257	16	,	,	PUNCT
ijassa-886	257	17	for	for	ADP
ijassa-886	257	18	example	example	NOUN
ijassa-886	257	19	,	,	PUNCT
ijassa-886	257	20	y	y	PROPN
ijassa-886	257	21	(	(	PUNCT
ijassa-886	257	22	t	t	PROPN
ijassa-886	257	23	)	)	PUNCT
ijassa-886	257	24	≥	≥	NOUN
ijassa-886	257	25	const	const	VERB
ijassa-886	257	26	≥	≥	PROPN
ijassa-886	257	27	0	0	NUM
ijassa-886	257	28	.	.	PUNCT
ijassa-886	258	1	such	such	DET
ijassa-886	258	2	a	a	DET
ijassa-886	258	3	problem	problem	NOUN
ijassa-886	258	4	is	be	AUX
ijassa-886	258	5	often	often	ADV
ijassa-886	258	6	called	call	VERB
ijassa-886	258	7	the	the	DET
ijassa-886	258	8	dubovitskymilyutin	dubovitskymilyutin	NOUN
ijassa-886	258	9	problem	problem	NOUN
ijassa-886	258	10	.	.	PUNCT
ijassa-886	259	1	see	see	VERB
ijassa-886	259	2	[	[	X
ijassa-886	259	3	19	19	NUM
ijassa-886	259	4	]	]	PUNCT
ijassa-886	259	5	–	–	PUNCT
ijassa-886	260	1	[	[	X
ijassa-886	260	2	21	21	NUM
ijassa-886	260	3	]	]	PUNCT
ijassa-886	260	4	.	.	PUNCT
ijassa-886	261	1	5	5	X
ijassa-886	261	2	.	.	X
ijassa-886	261	3	conclusion	conclusion	NOUN
ijassa-886	261	4	we	we	PRON
ijassa-886	261	5	presented	present	VERB
ijassa-886	261	6	the	the	DET
ijassa-886	261	7	comparative	comparative	ADJ
ijassa-886	261	8	analysis	analysis	NOUN
ijassa-886	261	9	of	of	ADP
ijassa-886	261	10	two	two	NUM
ijassa-886	261	11	models	model	NOUN
ijassa-886	261	12	of	of	ADP
ijassa-886	261	13	economic	economic	ADJ
ijassa-886	261	14	dynamics	dynamic	NOUN
ijassa-886	261	15	:	:	PUNCT
ijassa-886	261	16	the	the	DET
ijassa-886	261	17	model	model	NOUN
ijassa-886	261	18	of	of	ADP
ijassa-886	261	19	the	the	DET
ijassa-886	261	20	economic	economic	ADJ
ijassa-886	261	21	growth	growth	NOUN
ijassa-886	261	22	by	by	ADP
ijassa-886	261	23	harrod	harrod	NOUN
ijassa-886	261	24	-	-	PUNCT
ijassa-886	261	25	domar	domar	PROPN
ijassa-886	261	26	and	and	CCONJ
ijassa-886	261	27	the	the	DET
ijassa-886	261	28	model	model	NOUN
ijassa-886	261	29	by	by	ADP
ijassa-886	261	30	solow	solow	PROPN
ijassa-886	261	31	.	.	PUNCT
ijassa-886	262	1	there	there	PRON
ijassa-886	262	2	were	be	VERB
ijassa-886	262	3	several	several	ADJ
ijassa-886	262	4	earlier	early	ADJ
ijassa-886	262	5	models	model	NOUN
ijassa-886	262	6	of	of	ADP
ijassa-886	262	7	the	the	DET
ijassa-886	262	8	economic	economic	ADJ
ijassa-886	262	9	growth	growth	NOUN
ijassa-886	262	10	,	,	PUNCT
ijassa-886	262	11	but	but	CCONJ
ijassa-886	262	12	they	they	PRON
ijassa-886	262	13	are	be	AUX
ijassa-886	262	14	not	not	PART
ijassa-886	262	15	widely	widely	ADV
ijassa-886	262	16	acknowledged	acknowledge	VERB
ijassa-886	262	17	;	;	PUNCT
ijassa-886	262	18	see	see	VERB
ijassa-886	262	19	,	,	PUNCT
ijassa-886	262	20	e.g.	e.g.	ADV
ijassa-886	262	21	,	,	PUNCT
ijassa-886	262	22	[	[	X
ijassa-886	262	23	24	24	NUM
ijassa-886	262	24	]	]	PUNCT
ijassa-886	262	25	.	.	PUNCT
ijassa-886	263	1	at	at	ADP
ijassa-886	263	2	present	present	ADJ
ijassa-886	263	3	,	,	PUNCT
ijassa-886	263	4	more	more	ADV
ijassa-886	263	5	advanced	advanced	ADJ
ijassa-886	263	6	models	model	NOUN
ijassa-886	263	7	are	be	AUX
ijassa-886	263	8	gaining	gain	VERB
ijassa-886	263	9	popularity	popularity	NOUN
ijassa-886	263	10	,	,	PUNCT
ijassa-886	263	11	however	however	ADV
ijassa-886	263	12	,	,	PUNCT
ijassa-886	263	13	they	they	PRON
ijassa-886	263	14	are	be	AUX
ijassa-886	263	15	based	base	VERB
ijassa-886	263	16	on	on	ADP
ijassa-886	263	17	the	the	DET
ijassa-886	263	18	models	model	NOUN
ijassa-886	263	19	discussed	discuss	VERB
ijassa-886	263	20	in	in	ADP
ijassa-886	263	21	the	the	DET
ijassa-886	263	22	present	present	ADJ
ijassa-886	263	23	paper	paper	NOUN
ijassa-886	263	24	;	;	PUNCT
ijassa-886	263	25	see	see	VERB
ijassa-886	263	26	[	[	X
ijassa-886	263	27	25	25	NUM
ijassa-886	263	28	]	]	PUNCT
ijassa-886	263	29	–	–	PUNCT
ijassa-886	264	1	[	[	X
ijassa-886	264	2	27	27	NUM
ijassa-886	264	3	]	]	PUNCT
ijassa-886	264	4	.	.	PUNCT
ijassa-886	265	1	the	the	DET
ijassa-886	265	2	comparative	comparative	ADJ
ijassa-886	265	3	analysis	analysis	NOUN
ijassa-886	265	4	confirms	confirm	VERB
ijassa-886	265	5	the	the	DET
ijassa-886	265	6	economic	economic	ADJ
ijassa-886	265	7	viability	viability	NOUN
ijassa-886	265	8	of	of	ADP
ijassa-886	265	9	the	the	DET
ijassa-886	265	10	assumption	assumption	NOUN
ijassa-886	265	11	that	that	SCONJ
ijassa-886	265	12	the	the	DET
ijassa-886	265	13	ciig	ciig	ADJ
ijassa-886	265	14	depends	depend	VERB
ijassa-886	265	15	on	on	ADP
ijassa-886	265	16	time	time	NOUN
ijassa-886	265	17	.	.	PUNCT
ijassa-886	266	1	comparing	compare	VERB
ijassa-886	266	2	these	these	DET
ijassa-886	266	3	models	model	NOUN
ijassa-886	266	4	and	and	CCONJ
ijassa-886	266	5	using	use	VERB
ijassa-886	266	6	the	the	DET
ijassa-886	266	7	analogy	analogy	NOUN
ijassa-886	266	8	with	with	ADP
ijassa-886	266	9	household	household	NOUN
ijassa-886	266	10	economies	economy	NOUN
ijassa-886	266	11	[	[	X
ijassa-886	266	12	19	19	NUM
ijassa-886	266	13	]	]	PUNCT
ijassa-886	266	14	–	–	PUNCT
ijassa-886	266	15	[	[	X
ijassa-886	266	16	23	23	NUM
ijassa-886	266	17	]	]	PUNCT
ijassa-886	266	18	,	,	PUNCT
ijassa-886	266	19	we	we	PRON
ijassa-886	266	20	demonstrate	demonstrate	VERB
ijassa-886	266	21	the	the	DET
ijassa-886	266	22	efficiency	efficiency	NOUN
ijassa-886	266	23	of	of	ADP
ijassa-886	266	24	the	the	DET
ijassa-886	266	25	control	control	NOUN
ijassa-886	266	26	theory	theory	NOUN
ijassa-886	266	27	approach	approach	NOUN
ijassa-886	266	28	in	in	ADP
ijassa-886	266	29	the	the	DET
ijassa-886	266	30	extended	extended	ADJ
ijassa-886	266	31	harrod	harrod	NOUN
ijassa-886	266	32	-	-	PUNCT
ijassa-886	266	33	domar	domar	NOUN
ijassa-886	266	34	model	model	NOUN
ijassa-886	266	35	.	.	PUNCT
ijassa-886	267	1	the	the	DET
ijassa-886	267	2	obtained	obtain	VERB
ijassa-886	267	3	results	result	NOUN
ijassa-886	267	4	shaw	shaw	PROPN
ijassa-886	267	5	that	that	SCONJ
ijassa-886	267	6	despite	despite	SCONJ
ijassa-886	267	7	significant	significant	ADJ
ijassa-886	267	8	differences	difference	NOUN
ijassa-886	267	9	between	between	ADP
ijassa-886	267	10	these	these	DET
ijassa-886	267	11	models	model	NOUN
ijassa-886	267	12	,	,	PUNCT
ijassa-886	267	13	their	their	PRON
ijassa-886	267	14	comparative	comparative	ADJ
ijassa-886	267	15	analysis	analysis	NOUN
ijassa-886	267	16	is	be	AUX
ijassa-886	267	17	substantial	substantial	ADJ
ijassa-886	267	18	.	.	PUNCT
ijassa-886	268	1	it	it	PRON
ijassa-886	268	2	is	be	AUX
ijassa-886	268	3	worth	worth	ADJ
ijassa-886	268	4	observing	observe	VERB
ijassa-886	268	5	that	that	SCONJ
ijassa-886	268	6	using	use	VERB
ijassa-886	268	7	the	the	DET
ijassa-886	268	8	approach	approach	NOUN
ijassa-886	268	9	[	[	X
ijassa-886	268	10	28	28	NUM
ijassa-886	268	11	]	]	PUNCT
ijassa-886	268	12	–	–	PUNCT
ijassa-886	268	13	[	[	X
ijassa-886	268	14	31	31	NUM
ijassa-886	268	15	]	]	PUNCT
ijassa-886	268	16	based	base	VERB
ijassa-886	268	17	on	on	ADP
ijassa-886	268	18	the	the	DET
ijassa-886	268	19	theory	theory	NOUN
ijassa-886	268	20	of	of	ADP
ijassa-886	268	21	covering	cover	VERB
ijassa-886	268	22	mappings	mapping	NOUN
ijassa-886	268	23	,	,	PUNCT
ijassa-886	268	24	the	the	DET
ijassa-886	268	25	both	both	DET
ijassa-886	268	26	considered	consider	VERB
ijassa-886	268	27	models	model	NOUN
ijassa-886	268	28	can	can	AUX
ijassa-886	268	29	be	be	AUX
ijassa-886	268	30	generalized	generalize	VERB
ijassa-886	268	31	to	to	ADP
ijassa-886	268	32	the	the	DET
ijassa-886	268	33	market	market	NOUN
ijassa-886	268	34	of	of	ADP
ijassa-886	268	35	many	many	ADJ
ijassa-886	268	36	goods	good	NOUN
ijassa-886	268	37	with	with	ADP
ijassa-886	268	38	various	various	ADJ
ijassa-886	268	39	production	production	NOUN
ijassa-886	268	40	functions	function	NOUN
ijassa-886	268	41	.	.	PUNCT
ijassa-886	269	1	references	reference	NOUN
ijassa-886	269	2	1	1	NUM
ijassa-886	269	3	.	.	PUNCT
ijassa-886	269	4	harrod	harrod	PROPN
ijassa-886	269	5	,	,	PUNCT
ijassa-886	269	6	r.f	r.f	PROPN
ijassa-886	269	7	.	.	PROPN
ijassa-886	269	8	(	(	PUNCT
ijassa-886	269	9	1939	1939	NUM
ijassa-886	269	10	)	)	PUNCT
ijassa-886	269	11	an	an	DET
ijassa-886	269	12	essay	essay	NOUN
ijassa-886	269	13	in	in	ADP
ijassa-886	269	14	dynamic	dynamic	ADJ
ijassa-886	269	15	theory	theory	NOUN
ijassa-886	269	16	,	,	PUNCT
ijassa-886	269	17	economic	economic	ADJ
ijassa-886	269	18	jornal	jornal	NOUN
ijassa-886	269	19	,	,	PUNCT
ijassa-886	269	20	49	49	NUM
ijassa-886	269	21	,	,	PUNCT
ijassa-886	269	22	14–33	14–33	NUM
ijassa-886	269	23	.	.	NOUN
ijassa-886	270	1	2	2	NUM
ijassa-886	270	2	.	.	X
ijassa-886	270	3	domar	domar	PROPN
ijassa-886	270	4	,	,	PUNCT
ijassa-886	270	5	e.	e.	PROPN
ijassa-886	270	6	(	(	PUNCT
ijassa-886	270	7	1946	1946	NUM
ijassa-886	270	8	)	)	PUNCT
ijassa-886	270	9	capital	capital	NOUN
ijassa-886	270	10	expansion	expansion	NOUN
ijassa-886	270	11	,	,	PUNCT
ijassa-886	270	12	rate	rate	NOUN
ijassa-886	270	13	of	of	ADP
ijassa-886	270	14	growth	growth	NOUN
ijassa-886	270	15	and	and	CCONJ
ijassa-886	270	16	employment	employment	NOUN
ijassa-886	270	17	,	,	PUNCT
ijassa-886	270	18	econometrica	econometrica	PROPN
ijassa-886	270	19	,	,	PUNCT
ijassa-886	270	20	14	14	NUM
ijassa-886	270	21	(	(	PUNCT
ijassa-886	270	22	2	2	NUM
ijassa-886	270	23	)	)	PUNCT
ijassa-886	270	24	,	,	PUNCT
ijassa-886	270	25	137–147	137–147	NUM
ijassa-886	270	26	.	.	PUNCT
ijassa-886	271	1	3	3	X
ijassa-886	271	2	.	.	X
ijassa-886	271	3	solow	solow	PROPN
ijassa-886	271	4	,	,	PUNCT
ijassa-886	271	5	r.m	r.m	PROPN
ijassa-886	271	6	.	.	PROPN
ijassa-886	271	7	(	(	PUNCT
ijassa-886	271	8	1956	1956	NUM
ijassa-886	271	9	)	)	PUNCT
ijassa-886	271	10	contribution	contribution	NOUN
ijassa-886	271	11	to	to	ADP
ijassa-886	271	12	the	the	DET
ijassa-886	271	13	theory	theory	NOUN
ijassa-886	271	14	of	of	ADP
ijassa-886	271	15	economic	economic	ADJ
ijassa-886	271	16	growth	growth	NOUN
ijassa-886	271	17	,	,	PUNCT
ijassa-886	271	18	the	the	DET
ijassa-886	271	19	quarterly	quarterly	ADJ
ijassa-886	271	20	journal	journal	NOUN
ijassa-886	271	21	of	of	ADP
ijassa-886	271	22	economics	economic	NOUN
ijassa-886	271	23	,	,	PUNCT
ijassa-886	271	24	70	70	NUM
ijassa-886	271	25	(	(	PUNCT
ijassa-886	271	26	1	1	NUM
ijassa-886	271	27	)	)	PUNCT
ijassa-886	271	28	,	,	PUNCT
ijassa-886	271	29	65–94	65–94	NUM
ijassa-886	271	30	.	.	PUNCT
ijassa-886	272	1	4	4	X
ijassa-886	272	2	.	.	X
ijassa-886	272	3	solow	solow	PROPN
ijassa-886	272	4	,	,	PUNCT
ijassa-886	272	5	r.m	r.m	PROPN
ijassa-886	272	6	.	.	PROPN
ijassa-886	272	7	(	(	PUNCT
ijassa-886	272	8	1957	1957	NUM
ijassa-886	272	9	)	)	PUNCT
ijassa-886	272	10	technical	technical	ADJ
ijassa-886	272	11	change	change	NOUN
ijassa-886	272	12	and	and	CCONJ
ijassa-886	272	13	the	the	DET
ijassa-886	272	14	aggregate	aggregate	ADJ
ijassa-886	272	15	production	production	NOUN
ijassa-886	272	16	function	function	NOUN
ijassa-886	272	17	,	,	PUNCT
ijassa-886	272	18	the	the	DET
ijassa-886	272	19	review	review	NOUN
ijassa-886	272	20	of	of	ADP
ijassa-886	272	21	economics	economic	NOUN
ijassa-886	272	22	and	and	CCONJ
ijassa-886	272	23	statistics	statistic	NOUN
ijassa-886	272	24	,	,	PUNCT
ijassa-886	272	25	39	39	NUM
ijassa-886	272	26	(	(	PUNCT
ijassa-886	272	27	3	3	NUM
ijassa-886	272	28	)	)	PUNCT
ijassa-886	272	29	,	,	PUNCT
ijassa-886	272	30	312–320	312–320	NUM
ijassa-886	272	31	.	.	NOUN
ijassa-886	272	32	5	5	NUM
ijassa-886	272	33	.	.	X
ijassa-886	273	1	hamburg	hamburg	PROPN
ijassa-886	273	2	,	,	PUNCT
ijassa-886	273	3	d.	d.	PROPN
ijassa-886	273	4	(	(	PUNCT
ijassa-886	273	5	1981	1981	NUM
ijassa-886	273	6	)	)	PUNCT
ijassa-886	273	7	early	early	ADJ
ijassa-886	273	8	growth	growth	NOUN
ijassa-886	273	9	theory	theory	NOUN
ijassa-886	273	10	of	of	ADP
ijassa-886	273	11	the	the	DET
ijassa-886	273	12	domar	domar	NOUN
ijassa-886	273	13	and	and	CCONJ
ijassa-886	273	14	harrod	harrod	NOUN
ijassa-886	273	15	.	.	PUNCT
ijassa-886	274	1	moscow	moscow	PROPN
ijassa-886	274	2	:	:	PUNCT
ijassa-886	274	3	progress	progress	NOUN
ijassa-886	274	4	.	.	PUNCT
ijassa-886	275	1	6	6	X
ijassa-886	275	2	.	.	X
ijassa-886	275	3	zamkov	zamkov	PROPN
ijassa-886	275	4	,	,	PUNCT
ijassa-886	275	5	o.o	o.o	PROPN
ijassa-886	275	6	.	.	PROPN
ijassa-886	275	7	,	,	PUNCT
ijassa-886	275	8	tolstopyatenko	tolstopyatenko	PROPN
ijassa-886	275	9	,	,	PUNCT
ijassa-886	275	10	a.v	a.v	PROPN
ijassa-886	275	11	.	.	PROPN
ijassa-886	275	12	,	,	PUNCT
ijassa-886	275	13	&	&	CCONJ
ijassa-886	275	14	cheremnykh	cheremnykh	PROPN
ijassa-886	275	15	,	,	PUNCT
ijassa-886	275	16	yu.n	yu.n	PROPN
ijassa-886	275	17	.	.	PUNCT
ijassa-886	275	18	(	(	PUNCT
ijassa-886	275	19	1998	1998	NUM
ijassa-886	275	20	)	)	PUNCT
ijassa-886	275	21	mathematical	mathematical	ADJ
ijassa-886	275	22	methods	method	NOUN
ijassa-886	275	23	in	in	ADP
ijassa-886	275	24	economy	economy	NOUN
ijassa-886	275	25	.	.	PUNCT
ijassa-886	276	1	moscow	moscow	PROPN
ijassa-886	276	2	:	:	PUNCT
ijassa-886	276	3	lomonosov	lomonosov	PROPN
ijassa-886	276	4	moscow	moscow	PROPN
ijassa-886	276	5	state	state	PROPN
ijassa-886	276	6	university	university	PROPN
ijassa-886	276	7	,	,	PUNCT
ijassa-886	276	8	dis	dis	PROPN
ijassa-886	276	9	publishing	publish	VERB
ijassa-886	276	10	house	house	NOUN
ijassa-886	276	11	.	.	PUNCT
ijassa-886	277	1	7	7	X
ijassa-886	277	2	.	.	X
ijassa-886	277	3	malychin	malychin	NOUN
ijassa-886	277	4	,	,	PUNCT
ijassa-886	277	5	v.	v.	PROPN
ijassa-886	277	6	(	(	PUNCT
ijassa-886	277	7	2001	2001	NUM
ijassa-886	277	8	)	)	PUNCT
ijassa-886	277	9	mathematics	mathematic	NOUN
ijassa-886	277	10	in	in	ADP
ijassa-886	277	11	economics	economic	NOUN
ijassa-886	277	12	:	:	PUNCT
ijassa-886	277	13	tutorial	tutorial	NOUN
ijassa-886	277	14	.	.	PUNCT
ijassa-886	278	1	moscow	moscow	NOUN
ijassa-886	278	2	:	:	PUNCT
ijassa-886	278	3	infra	infra	NOUN
ijassa-886	278	4	-	-	PUNCT
ijassa-886	278	5	m.	m.	NOUN
ijassa-886	278	6	8	8	NUM
ijassa-886	278	7	.	.	PUNCT
ijassa-886	279	1	kolemayev	kolemayev	PROPN
ijassa-886	279	2	,	,	PUNCT
ijassa-886	279	3	v.a	v.a	PROPN
ijassa-886	279	4	.	.	PROPN
ijassa-886	279	5	(	(	PUNCT
ijassa-886	279	6	2002	2002	NUM
ijassa-886	279	7	)	)	PUNCT
ijassa-886	279	8	mathematical	mathematical	ADJ
ijassa-886	279	9	economics	economic	NOUN
ijassa-886	279	10	:	:	PUNCT
ijassa-886	279	11	textbook	textbook	NOUN
ijassa-886	279	12	for	for	ADP
ijassa-886	279	13	higher	high	ADJ
ijassa-886	279	14	education	education	NOUN
ijassa-886	279	15	institutions	institution	NOUN
ijassa-886	279	16	.	.	PUNCT
ijassa-886	280	1	moscow	moscow	PROPN
ijassa-886	280	2	:	:	PUNCT
ijassa-886	280	3	unity	unity	NOUN
ijassa-886	280	4	-	-	PUNCT
ijassa-886	280	5	dana	dana	PROPN
ijassa-886	280	6	.	.	PUNCT
ijassa-886	281	1	9	9	X
ijassa-886	281	2	.	.	X
ijassa-886	281	3	samarov	samarov	PROPN
ijassa-886	281	4	,	,	PUNCT
ijassa-886	281	5	k.l	k.l	PROPN
ijassa-886	281	6	.	.	PROPN
ijassa-886	281	7	(	(	PUNCT
ijassa-886	281	8	2009	2009	NUM
ijassa-886	281	9	)	)	PUNCT
ijassa-886	281	10	economic	economic	ADJ
ijassa-886	281	11	and	and	CCONJ
ijassa-886	281	12	mathematical	mathematical	ADJ
ijassa-886	281	13	models	model	NOUN
ijassa-886	281	14	.	.	PUNCT
ijassa-886	282	1	moscow	moscow	PROPN
ijassa-886	282	2	:	:	PUNCT
ijassa-886	282	3	resolventa	resolventa	ADJ
ijassa-886	282	4	.	.	PUNCT
ijassa-886	283	1	10	10	NUM
ijassa-886	283	2	.	.	PUNCT
ijassa-886	284	1	samarov	samarov	PROPN
ijassa-886	284	2	,	,	PUNCT
ijassa-886	284	3	k.l	k.l	PROPN
ijassa-886	284	4	.	.	PROPN
ijassa-886	284	5	&	&	CCONJ
ijassa-886	284	6	samarova	samarova	PROPN
ijassa-886	284	7	,	,	PUNCT
ijassa-886	284	8	s.s	s.s	PROPN
ijassa-886	284	9	.	.	PROPN
ijassa-886	284	10	(	(	PUNCT
ijassa-886	284	11	2014	2014	NUM
ijassa-886	284	12	)	)	PUNCT
ijassa-886	284	13	robert	robert	PROPN
ijassa-886	284	14	solow	solow	PROPN
ijassa-886	284	15	’	'	PUNCT
ijassa-886	284	16	s	s	PROPN
ijassa-886	284	17	model	model	NOUN
ijassa-886	284	18	of	of	ADP
ijassa-886	284	19	economic	economic	ADJ
ijassa-886	284	20	growth	growth	NOUN
ijassa-886	284	21	in	in	ADP
ijassa-886	284	22	the	the	DET
ijassa-886	284	23	course	course	NOUN
ijassa-886	284	24	of	of	ADP
ijassa-886	284	25	differential	differential	ADJ
ijassa-886	284	26	equations	equation	NOUN
ijassa-886	284	27	,	,	PUNCT
ijassa-886	284	28	information	information	NOUN
ijassa-886	284	29	and	and	CCONJ
ijassa-886	284	30	technological	technological	ADJ
ijassa-886	284	31	journal	journal	NOUN
ijassa-886	284	32	,	,	PUNCT
ijassa-886	284	33	2	2	NUM
ijassa-886	284	34	,	,	PUNCT
ijassa-886	284	35	81–84	81–84	NUM
ijassa-886	284	36	.	.	PUNCT
ijassa-886	285	1	copyright	copyright	NOUN
ijassa-886	285	2	©	©	PROPN
ijassa-886	285	3	2020	2020	NUM
ijassa-886	285	4	assa	assa	NOUN
ijassa-886	285	5	.	.	PUNCT
ijassa-886	286	1	adv	adv	PROPN
ijassa-886	286	2	syst	syst	PROPN
ijassa-886	286	3	sci	sci	PROPN
ijassa-886	286	4	appl	appl	PROPN
ijassa-886	286	5	(	(	PUNCT
ijassa-886	286	6	2020	2020	NUM
ijassa-886	286	7	)	)	PUNCT
ijassa-886	286	8	dynamic	dynamic	ADJ
ijassa-886	286	9	models	model	NOUN
ijassa-886	286	10	of	of	ADP
ijassa-886	286	11	economic	economic	ADJ
ijassa-886	286	12	growth	growth	NOUN
ijassa-886	286	13	81	81	NUM
ijassa-886	286	14	11	11	NUM
ijassa-886	286	15	.	.	PUNCT
ijassa-886	287	1	meerson	meerson	PROPN
ijassa-886	287	2	,	,	PUNCT
ijassa-886	287	3	a.y	a.y	PROPN
ijassa-886	287	4	.	.	PROPN
ijassa-886	287	5	&	&	CCONJ
ijassa-886	287	6	chernyaev	chernyaev	PROPN
ijassa-886	287	7	,	,	PUNCT
ijassa-886	287	8	a.p	a.p	PROPN
ijassa-886	287	9	.	.	PROPN
ijassa-886	287	10	(	(	PUNCT
ijassa-886	287	11	2010	2010	NUM
ijassa-886	287	12	)	)	PUNCT
ijassa-886	287	13	integral	integral	ADJ
ijassa-886	287	14	method	method	NOUN
ijassa-886	287	15	of	of	ADP
ijassa-886	287	16	research	research	NOUN
ijassa-886	287	17	of	of	ADP
ijassa-886	287	18	transition	transition	NOUN
ijassa-886	287	19	regime	regime	NOUN
ijassa-886	287	20	in	in	ADP
ijassa-886	287	21	solow	solow	PROPN
ijassa-886	287	22	model	model	PROPN
ijassa-886	287	23	,	,	PUNCT
ijassa-886	287	24	economics	economic	NOUN
ijassa-886	287	25	of	of	ADP
ijassa-886	287	26	nature	nature	NOUN
ijassa-886	287	27	management	management	NOUN
ijassa-886	287	28	,	,	PUNCT
ijassa-886	287	29	3	3	NUM
ijassa-886	287	30	,	,	PUNCT
ijassa-886	287	31	105–109	105–109	NUM
ijassa-886	287	32	.	.	PUNCT
ijassa-886	288	1	12	12	NUM
ijassa-886	288	2	.	.	X
ijassa-886	289	1	meerson	meerson	PROPN
ijassa-886	289	2	,	,	PUNCT
ijassa-886	289	3	a.y	a.y	PROPN
ijassa-886	289	4	.	.	PROPN
ijassa-886	289	5	&	&	CCONJ
ijassa-886	289	6	chernyaev	chernyaev	PROPN
ijassa-886	289	7	,	,	PUNCT
ijassa-886	289	8	a.p	a.p	PROPN
ijassa-886	289	9	.	.	PROPN
ijassa-886	289	10	(	(	PUNCT
ijassa-886	289	11	2011	2011	NUM
ijassa-886	289	12	)	)	PUNCT
ijassa-886	289	13	exact	exact	ADJ
ijassa-886	289	14	solution	solution	NOUN
ijassa-886	289	15	of	of	ADP
ijassa-886	289	16	the	the	DET
ijassa-886	289	17	macroeconomic	macroeconomic	ADJ
ijassa-886	289	18	model	model	NOUN
ijassa-886	289	19	of	of	ADP
ijassa-886	289	20	harrod	harrod	NOUN
ijassa-886	289	21	-	-	PUNCT
ijassa-886	289	22	domar	domar	NOUN
ijassa-886	289	23	with	with	ADP
ijassa-886	289	24	exogenous	exogenous	ADJ
ijassa-886	289	25	dynamics	dynamic	NOUN
ijassa-886	289	26	of	of	ADP
ijassa-886	289	27	the	the	DET
ijassa-886	289	28	volume	volume	NOUN
ijassa-886	289	29	of	of	ADP
ijassa-886	289	30	consumption	consumption	NOUN
ijassa-886	289	31	of	of	ADP
ijassa-886	289	32	arbitrary	arbitrary	ADJ
ijassa-886	289	33	character	character	NOUN
ijassa-886	289	34	,	,	PUNCT
ijassa-886	289	35	russian	russian	ADJ
ijassa-886	289	36	economic	economic	PROPN
ijassa-886	289	37	university	university	PROPN
ijassa-886	289	38	bulletin	bulletin	NOUN
ijassa-886	289	39	,	,	PUNCT
ijassa-886	289	40	1	1	NUM
ijassa-886	289	41	,	,	PUNCT
ijassa-886	289	42	142–147	142–147	NUM
ijassa-886	289	43	.	.	PUNCT
ijassa-886	289	44	13	13	NUM
ijassa-886	289	45	.	.	X
ijassa-886	289	46	meerson	meerson	PROPN
ijassa-886	289	47	,	,	PUNCT
ijassa-886	289	48	a.y	a.y	PROPN
ijassa-886	289	49	.	.	PROPN
ijassa-886	289	50	&	&	CCONJ
ijassa-886	289	51	chernyaev	chernyaev	PROPN
ijassa-886	289	52	,	,	PUNCT
ijassa-886	289	53	a.p	a.p	PROPN
ijassa-886	289	54	.	.	PROPN
ijassa-886	289	55	(	(	PUNCT
ijassa-886	289	56	2013	2013	NUM
ijassa-886	289	57	)	)	PUNCT
ijassa-886	289	58	the	the	DET
ijassa-886	289	59	exact	exact	ADJ
ijassa-886	289	60	solution	solution	NOUN
ijassa-886	289	61	of	of	ADP
ijassa-886	289	62	koshi	koshi	PROPN
ijassa-886	289	63	problem	problem	NOUN
ijassa-886	289	64	for	for	ADP
ijassa-886	289	65	the	the	DET
ijassa-886	289	66	differential	differential	ADJ
ijassa-886	289	67	equation	equation	NOUN
ijassa-886	289	68	of	of	ADP
ijassa-886	289	69	the	the	DET
ijassa-886	289	70	harrod	harrod	NOUN
ijassa-886	289	71	-	-	PUNCT
ijassa-886	289	72	domar	domar	NOUN
ijassa-886	289	73	macroeconomic	macroeconomic	ADJ
ijassa-886	289	74	model	model	NOUN
ijassa-886	289	75	with	with	ADP
ijassa-886	289	76	a	a	DET
ijassa-886	289	77	variable	variable	ADJ
ijassa-886	289	78	coefficient	coefficient	NOUN
ijassa-886	289	79	of	of	ADP
ijassa-886	289	80	capital	capital	NOUN
ijassa-886	289	81	intensity	intensity	NOUN
ijassa-886	289	82	of	of	ADP
ijassa-886	289	83	income	income	NOUN
ijassa-886	289	84	growth	growth	NOUN
ijassa-886	289	85	,	,	PUNCT
ijassa-886	289	86	the	the	DET
ijassa-886	289	87	journal	journal	NOUN
ijassa-886	289	88	of	of	ADP
ijassa-886	289	89	mgup	mgup	PROPN
ijassa-886	289	90	,	,	PUNCT
ijassa-886	289	91	3	3	NUM
ijassa-886	289	92	,	,	PUNCT
ijassa-886	289	93	252–255	252–255	NUM
ijassa-886	289	94	.	.	PUNCT
ijassa-886	290	1	14	14	NUM
ijassa-886	290	2	.	.	X
ijassa-886	291	1	gracheva	gracheva	PROPN
ijassa-886	291	2	,	,	PUNCT
ijassa-886	291	3	m.v	m.v	PROPN
ijassa-886	291	4	.	.	PROPN
ijassa-886	291	5	,	,	PUNCT
ijassa-886	291	6	fadeeva	fadeeva	PROPN
ijassa-886	291	7	,	,	PUNCT
ijassa-886	291	8	l.n	l.n	PROPN
ijassa-886	291	9	.	.	PROPN
ijassa-886	291	10	,	,	PUNCT
ijassa-886	291	11	&	&	CCONJ
ijassa-886	291	12	cheremnych	cheremnych	PROPN
ijassa-886	291	13	,	,	PUNCT
ijassa-886	291	14	y.n	y.n	PROPN
ijassa-886	291	15	.	.	PROPN
ijassa-886	291	16	(	(	PUNCT
ijassa-886	291	17	2005	2005	NUM
ijassa-886	291	18	)	)	PUNCT
ijassa-886	291	19	simulation	simulation	NOUN
ijassa-886	291	20	of	of	ADP
ijassa-886	291	21	economic	economic	ADJ
ijassa-886	291	22	processes	process	NOUN
ijassa-886	291	23	:	:	PUNCT
ijassa-886	291	24	textbook	textbook	NOUN
ijassa-886	291	25	for	for	ADP
ijassa-886	291	26	university	university	NOUN
ijassa-886	291	27	students	student	NOUN
ijassa-886	291	28	studying	study	VERB
ijassa-886	291	29	in	in	ADP
ijassa-886	291	30	the	the	DET
ijassa-886	291	31	fields	field	NOUN
ijassa-886	291	32	of	of	ADP
ijassa-886	291	33	economics	economic	NOUN
ijassa-886	291	34	and	and	CCONJ
ijassa-886	291	35	management	management	NOUN
ijassa-886	291	36	.	.	PUNCT
ijassa-886	292	1	moscow	moscow	PROPN
ijassa-886	292	2	:	:	PUNCT
ijassa-886	292	3	unity	unity	NOUN
ijassa-886	292	4	-	-	PUNCT
ijassa-886	292	5	dana	dana	PROPN
ijassa-886	292	6	.	.	PUNCT
ijassa-886	293	1	15	15	NUM
ijassa-886	293	2	.	.	PUNCT
ijassa-886	294	1	drogobytsky	drogobytsky	PROPN
ijassa-886	294	2	,	,	PUNCT
ijassa-886	294	3	i.n	i.n	PROPN
ijassa-886	294	4	.	.	PROPN
ijassa-886	294	5	(	(	PUNCT
ijassa-886	294	6	2006	2006	NUM
ijassa-886	294	7	)	)	PUNCT
ijassa-886	294	8	economic	economic	ADJ
ijassa-886	294	9	and	and	CCONJ
ijassa-886	294	10	mathematical	mathematical	ADJ
ijassa-886	294	11	modeling	modeling	NOUN
ijassa-886	294	12	.	.	PUNCT
ijassa-886	295	1	moscow	moscow	PROPN
ijassa-886	295	2	:	:	PUNCT
ijassa-886	295	3	examination	examination	NOUN
ijassa-886	295	4	.	.	PUNCT
ijassa-886	296	1	16	16	NUM
ijassa-886	296	2	.	.	PUNCT
ijassa-886	297	1	chernyaev	chernyaev	PROPN
ijassa-886	297	2	,	,	PUNCT
ijassa-886	297	3	a.p	a.p	PROPN
ijassa-886	297	4	.	.	PROPN
ijassa-886	297	5	(	(	PUNCT
ijassa-886	297	6	2019	2019	NUM
ijassa-886	297	7	)	)	PUNCT
ijassa-886	297	8	comparison	comparison	NOUN
ijassa-886	297	9	of	of	ADP
ijassa-886	297	10	two	two	NUM
ijassa-886	297	11	dynamicmodels	dynamicmodel	NOUN
ijassa-886	297	12	of	of	ADP
ijassa-886	297	13	economic	economic	ADJ
ijassa-886	297	14	growth	growth	NOUN
ijassa-886	297	15	.	.	PUNCT
ijassa-886	298	1	proc	proc	NOUN
ijassa-886	298	2	.	.	PUNCT
ijassa-886	299	1	first	first	ADJ
ijassa-886	299	2	int	int	NOUN
ijassa-886	299	3	.	.	PUNCT
ijassa-886	300	1	conf	conf	PROPN
ijassa-886	300	2	.	.	PUNCT
ijassa-886	300	3	:	:	PUNCT
ijassa-886	301	1	math	math	NOUN
ijassa-886	301	2	.	.	PUNCT
ijassa-886	302	1	physics	physics	PROPN
ijassa-886	302	2	,	,	PUNCT
ijassa-886	302	3	dyn	dyn	PROPN
ijassa-886	302	4	.	.	PUNCT
ijassa-886	303	1	syst	syst	PROPN
ijassa-886	303	2	.	.	PROPN
ijassa-886	303	3	,	,	PUNCT
ijassa-886	303	4	infinite	infinite	ADJ
ijassa-886	303	5	-	-	PUNCT
ijassa-886	303	6	dimensional	dimensional	ADJ
ijassa-886	303	7	anal	anal	NOUN
ijassa-886	303	8	.	.	PUNCT
ijassa-886	303	9	,	,	PUNCT
ijassa-886	303	10	dolgoprudny	dolgoprudny	PROPN
ijassa-886	303	11	,	,	PUNCT
ijassa-886	303	12	russia	russia	PROPN
ijassa-886	303	13	:	:	PUNCT
ijassa-886	303	14	mipt	mipt	ADJ
ijassa-886	303	15	,	,	PUNCT
ijassa-886	303	16	161–161	161–161	NUM
ijassa-886	303	17	.	.	PUNCT
ijassa-886	304	1	17	17	NUM
ijassa-886	304	2	.	.	X
ijassa-886	304	3	meerson	meerson	PROPN
ijassa-886	304	4	,	,	PUNCT
ijassa-886	304	5	a.y	a.y	PROPN
ijassa-886	304	6	.	.	PROPN
ijassa-886	304	7	&	&	CCONJ
ijassa-886	304	8	chernyaev	chernyaev	PROPN
ijassa-886	304	9	,	,	PUNCT
ijassa-886	304	10	a.p	a.p	PROPN
ijassa-886	304	11	.	.	PROPN
ijassa-886	304	12	(	(	PUNCT
ijassa-886	304	13	2014	2014	NUM
ijassa-886	304	14	)	)	PUNCT
ijassa-886	304	15	variation	variation	NOUN
ijassa-886	304	16	problem	problem	NOUN
ijassa-886	304	17	of	of	ADP
ijassa-886	304	18	optimization	optimization	NOUN
ijassa-886	304	19	of	of	ADP
ijassa-886	304	20	consumption	consumption	NOUN
ijassa-886	304	21	of	of	ADP
ijassa-886	304	22	the	the	DET
ijassa-886	304	23	macroeconomic	macroeconomic	ADJ
ijassa-886	304	24	model	model	NOUN
ijassa-886	304	25	of	of	ADP
ijassa-886	304	26	harrod	harrod	NOUN
ijassa-886	304	27	-	-	PUNCT
ijassa-886	304	28	domar	domar	NOUN
ijassa-886	304	29	with	with	ADP
ijassa-886	304	30	variable	variable	ADJ
ijassa-886	304	31	coefficient	coefficient	NOUN
ijassa-886	304	32	of	of	ADP
ijassa-886	304	33	capital	capital	NOUN
ijassa-886	304	34	intensity	intensity	NOUN
ijassa-886	304	35	of	of	ADP
ijassa-886	304	36	income	income	NOUN
ijassa-886	304	37	growth	growth	NOUN
ijassa-886	304	38	,	,	PUNCT
ijassa-886	304	39	mgtu	mgtu	NOUN
ijassa-886	304	40	mami	mami	NOUN
ijassa-886	304	41	bull	bull	PROPN
ijassa-886	304	42	.	.	PUNCT
ijassa-886	304	43	,	,	PUNCT
ijassa-886	304	44	4	4	NUM
ijassa-886	304	45	(	(	PUNCT
ijassa-886	304	46	3	3	NUM
ijassa-886	304	47	)	)	PUNCT
ijassa-886	304	48	,	,	PUNCT
ijassa-886	304	49	77–80	77–80	NUM
ijassa-886	304	50	.	.	PROPN
ijassa-886	304	51	18	18	NUM
ijassa-886	304	52	.	.	X
ijassa-886	304	53	meerson	meerson	PROPN
ijassa-886	304	54	,	,	PUNCT
ijassa-886	304	55	a.y	a.y	PROPN
ijassa-886	304	56	.	.	PROPN
ijassa-886	304	57	&	&	CCONJ
ijassa-886	304	58	chernyaev	chernyaev	PROPN
ijassa-886	304	59	,	,	PUNCT
ijassa-886	304	60	a.p	a.p	PROPN
ijassa-886	304	61	.	.	PROPN
ijassa-886	304	62	(	(	PUNCT
ijassa-886	304	63	2014	2014	NUM
ijassa-886	304	64	)	)	PUNCT
ijassa-886	304	65	variation	variation	NOUN
ijassa-886	304	66	problem	problem	NOUN
ijassa-886	304	67	of	of	ADP
ijassa-886	304	68	optimization	optimization	NOUN
ijassa-886	304	69	of	of	ADP
ijassa-886	304	70	consumption	consumption	NOUN
ijassa-886	304	71	of	of	ADP
ijassa-886	304	72	the	the	DET
ijassa-886	304	73	model	model	NOUN
ijassa-886	304	74	of	of	ADP
ijassa-886	304	75	economic	economic	ADJ
ijassa-886	304	76	dynamics	dynamic	NOUN
ijassa-886	304	77	of	of	ADP
ijassa-886	304	78	harrod	harrod	NOUN
ijassa-886	304	79	-	-	PUNCT
ijassa-886	304	80	domar	domar	NOUN
ijassa-886	304	81	with	with	ADP
ijassa-886	304	82	variable	variable	ADJ
ijassa-886	304	83	coefficient	coefficient	NOUN
ijassa-886	304	84	of	of	ADP
ijassa-886	304	85	capital	capital	NOUN
ijassa-886	304	86	intensity	intensity	NOUN
ijassa-886	304	87	of	of	ADP
ijassa-886	304	88	income	income	NOUN
ijassa-886	304	89	growth	growth	NOUN
ijassa-886	304	90	,	,	PUNCT
ijassa-886	304	91	proc	proc	NOUN
ijassa-886	304	92	.	.	PUNCT
ijassa-886	305	1	free	free	ADJ
ijassa-886	305	2	economic	economic	ADJ
ijassa-886	305	3	soc	soc	NOUN
ijassa-886	305	4	.	.	PUNCT
ijassa-886	306	1	russia	russia	PROPN
ijassa-886	306	2	,	,	PUNCT
ijassa-886	306	3	186	186	NUM
ijassa-886	306	4	,	,	PUNCT
ijassa-886	306	5	502–506	502–506	NUM
ijassa-886	306	6	.	.	PUNCT
ijassa-886	307	1	19	19	NUM
ijassa-886	307	2	.	.	X
ijassa-886	307	3	dikusar	dikusar	PROPN
ijassa-886	307	4	,	,	PUNCT
ijassa-886	307	5	v.v	v.v	PROPN
ijassa-886	307	6	.	.	PROPN
ijassa-886	307	7	,	,	PUNCT
ijassa-886	307	8	meerson	meerson	PROPN
ijassa-886	307	9	,	,	PUNCT
ijassa-886	307	10	a.y	a.y	PROPN
ijassa-886	307	11	.	.	PROPN
ijassa-886	307	12	,	,	PUNCT
ijassa-886	307	13	&	&	CCONJ
ijassa-886	307	14	chernyaev	chernyaev	PROPN
ijassa-886	307	15	,	,	PUNCT
ijassa-886	307	16	a.p	a.p	PROPN
ijassa-886	307	17	.	.	PROPN
ijassa-886	307	18	(	(	PUNCT
ijassa-886	307	19	2004	2004	NUM
ijassa-886	307	20	)	)	PUNCT
ijassa-886	307	21	problems	problem	NOUN
ijassa-886	307	22	of	of	ADP
ijassa-886	307	23	optimal	optimal	ADJ
ijassa-886	307	24	distribution	distribution	NOUN
ijassa-886	307	25	of	of	ADP
ijassa-886	307	26	resources	resource	NOUN
ijassa-886	307	27	on	on	ADP
ijassa-886	307	28	the	the	DET
ijassa-886	307	29	example	example	NOUN
ijassa-886	307	30	of	of	ADP
ijassa-886	307	31	households	household	NOUN
ijassa-886	307	32	.	.	PUNCT
ijassa-886	308	1	moscow	moscow	PROPN
ijassa-886	308	2	:	:	PUNCT
ijassa-886	308	3	dorodnitsyn	dorodnitsyn	PROPN
ijassa-886	308	4	computing	computing	PROPN
ijassa-886	308	5	centre	centre	PROPN
ijassa-886	308	6	ras	ras	PROPN
ijassa-886	308	7	.	.	PROPN
ijassa-886	308	8	20	20	NUM
ijassa-886	308	9	.	.	PUNCT
ijassa-886	309	1	dikusar	dikusar	PROPN
ijassa-886	309	2	,	,	PUNCT
ijassa-886	309	3	v.v	v.v	PROPN
ijassa-886	309	4	.	.	PROPN
ijassa-886	309	5	,	,	PUNCT
ijassa-886	309	6	meerson	meerson	PROPN
ijassa-886	309	7	,	,	PUNCT
ijassa-886	309	8	a.y	a.y	PROPN
ijassa-886	309	9	.	.	PROPN
ijassa-886	309	10	,	,	PUNCT
ijassa-886	309	11	&	&	CCONJ
ijassa-886	309	12	chernyaev	chernyaev	PROPN
ijassa-886	309	13	,	,	PUNCT
ijassa-886	309	14	a.p	a.p	PROPN
ijassa-886	309	15	.	.	PROPN
ijassa-886	309	16	(	(	PUNCT
ijassa-886	309	17	2005	2005	NUM
ijassa-886	309	18	)	)	PUNCT
ijassa-886	309	19	consumption	consumption	NOUN
ijassa-886	309	20	patterns	pattern	NOUN
ijassa-886	309	21	and	and	CCONJ
ijassa-886	309	22	questions	question	NOUN
ijassa-886	309	23	of	of	ADP
ijassa-886	309	24	optimal	optimal	ADJ
ijassa-886	309	25	control	control	NOUN
ijassa-886	309	26	,	,	PUNCT
ijassa-886	309	27	theoretical	theoretical	ADJ
ijassa-886	309	28	and	and	CCONJ
ijassa-886	309	29	applied	apply	VERB
ijassa-886	309	30	problems	problem	NOUN
ijassa-886	309	31	of	of	ADP
ijassa-886	309	32	nonlinear	nonlinear	ADJ
ijassa-886	309	33	analysis	analysis	NOUN
ijassa-886	309	34	,	,	PUNCT
ijassa-886	309	35	moscow	moscow	PROPN
ijassa-886	309	36	:	:	PUNCT
ijassa-886	309	37	dorodnitsyn	dorodnitsyn	PROPN
ijassa-886	309	38	computing	computing	PROPN
ijassa-886	309	39	centre	centre	PROPN
ijassa-886	309	40	ras	ras	PROPN
ijassa-886	309	41	,	,	PUNCT
ijassa-886	309	42	46–61	46–61	NUM
ijassa-886	309	43	.	.	PUNCT
ijassa-886	310	1	21	21	NUM
ijassa-886	310	2	.	.	X
ijassa-886	310	3	dikusar	dikusar	PROPN
ijassa-886	310	4	,	,	PUNCT
ijassa-886	310	5	v.v	v.v	PROPN
ijassa-886	310	6	.	.	PROPN
ijassa-886	310	7	,	,	PUNCT
ijassa-886	310	8	meerson	meerson	PROPN
ijassa-886	310	9	,	,	PUNCT
ijassa-886	310	10	a.y	a.y	PROPN
ijassa-886	310	11	.	.	PROPN
ijassa-886	310	12	,	,	PUNCT
ijassa-886	310	13	&	&	CCONJ
ijassa-886	310	14	chernyaev	chernyaev	PROPN
ijassa-886	310	15	,	,	PUNCT
ijassa-886	310	16	a.p	a.p	PROPN
ijassa-886	310	17	.	.	PROPN
ijassa-886	310	18	(	(	PUNCT
ijassa-886	310	19	2005	2005	NUM
ijassa-886	310	20	)	)	PUNCT
ijassa-886	310	21	problems	problem	NOUN
ijassa-886	310	22	of	of	ADP
ijassa-886	310	23	optimal	optimal	ADJ
ijassa-886	310	24	consumption	consumption	NOUN
ijassa-886	310	25	management	management	NOUN
ijassa-886	310	26	in	in	ADP
ijassa-886	310	27	households	household	NOUN
ijassa-886	310	28	,	,	PUNCT
ijassa-886	310	29	dynamics	dynamic	NOUN
ijassa-886	310	30	of	of	ADP
ijassa-886	310	31	heterogeneous	heterogeneous	ADJ
ijassa-886	310	32	systems	system	NOUN
ijassa-886	310	33	,	,	PUNCT
ijassa-886	310	34	9	9	NUM
ijassa-886	310	35	,	,	PUNCT
ijassa-886	310	36	moscow	moscow	PROPN
ijassa-886	310	37	:	:	PUNCT
ijassa-886	310	38	isa	isa	PROPN
ijassa-886	310	39	ras	ras	PROPN
ijassa-886	310	40	,	,	PUNCT
ijassa-886	310	41	212–229	212–229	NUM
ijassa-886	310	42	.	.	PUNCT
ijassa-886	311	1	22	22	NUM
ijassa-886	311	2	.	.	PUNCT
ijassa-886	312	1	guriev	guriev	PROPN
ijassa-886	312	2	,	,	PUNCT
ijassa-886	312	3	s.m	s.m	PROPN
ijassa-886	312	4	.	.	PROPN
ijassa-886	312	5	,	,	PUNCT
ijassa-886	312	6	&	&	CCONJ
ijassa-886	312	7	pospelov	pospelov	PROPN
ijassa-886	312	8	,	,	PUNCT
ijassa-886	312	9	i.g	i.g	PROPN
ijassa-886	312	10	.	.	PROPN
ijassa-886	312	11	(	(	PUNCT
ijassa-886	312	12	1994	1994	NUM
ijassa-886	312	13	)	)	PUNCT
ijassa-886	312	14	model	model	NOUN
ijassa-886	312	15	of	of	ADP
ijassa-886	312	16	general	general	ADJ
ijassa-886	312	17	equilibrium	equilibrium	NOUN
ijassa-886	312	18	of	of	ADP
ijassa-886	312	19	economy	economy	NOUN
ijassa-886	312	20	of	of	ADP
ijassa-886	312	21	transition	transition	NOUN
ijassa-886	312	22	period	period	NOUN
ijassa-886	312	23	,	,	PUNCT
ijassa-886	312	24	mathematical	mathematical	ADJ
ijassa-886	312	25	modeling	modeling	NOUN
ijassa-886	312	26	.	.	PUNCT
ijassa-886	313	1	,	,	PUNCT
ijassa-886	313	2	6	6	NUM
ijassa-886	313	3	(	(	PUNCT
ijassa-886	313	4	2	2	NUM
ijassa-886	313	5	)	)	PUNCT
ijassa-886	313	6	,	,	PUNCT
ijassa-886	313	7	3–21	3–21	NOUN
ijassa-886	313	8	.	.	PUNCT
ijassa-886	314	1	23	23	NUM
ijassa-886	314	2	.	.	PUNCT
ijassa-886	315	1	guriev	guriev	PROPN
ijassa-886	315	2	,	,	PUNCT
ijassa-886	315	3	s.m	s.m	PROPN
ijassa-886	315	4	.	.	PROPN
ijassa-886	315	5	(	(	PUNCT
ijassa-886	315	6	1994	1994	NUM
ijassa-886	315	7	)	)	PUNCT
ijassa-886	315	8	model	model	NOUN
ijassa-886	315	9	of	of	ADP
ijassa-886	315	10	formation	formation	NOUN
ijassa-886	315	11	of	of	ADP
ijassa-886	315	12	savings	saving	NOUN
ijassa-886	315	13	and	and	CCONJ
ijassa-886	315	14	demand	demand	NOUN
ijassa-886	315	15	for	for	ADP
ijassa-886	315	16	money	money	NOUN
ijassa-886	315	17	,	,	PUNCT
ijassa-886	315	18	mathematical	mathematical	ADJ
ijassa-886	315	19	modeling	modeling	NOUN
ijassa-886	315	20	.	.	PUNCT
ijassa-886	316	1	,	,	PUNCT
ijassa-886	316	2	6	6	NUM
ijassa-886	316	3	(	(	PUNCT
ijassa-886	316	4	7	7	NUM
ijassa-886	316	5	)	)	PUNCT
ijassa-886	316	6	,	,	PUNCT
ijassa-886	316	7	15–40	15–40	NUM
ijassa-886	316	8	.	.	PUNCT
ijassa-886	317	1	24	24	NUM
ijassa-886	317	2	.	.	PUNCT
ijassa-886	318	1	ramsey	ramsey	PROPN
ijassa-886	318	2	,	,	PUNCT
ijassa-886	318	3	f.p	f.p	PROPN
ijassa-886	318	4	.	.	PROPN
ijassa-886	318	5	(	(	PUNCT
ijassa-886	318	6	1928	1928	NUM
ijassa-886	318	7	)	)	PUNCT
ijassa-886	318	8	a	a	DET
ijassa-886	318	9	mathematical	mathematical	ADJ
ijassa-886	318	10	theory	theory	NOUN
ijassa-886	318	11	of	of	ADP
ijassa-886	318	12	saving	saving	NOUN
ijassa-886	318	13	,	,	PUNCT
ijassa-886	318	14	economic	economic	ADJ
ijassa-886	318	15	journal	journal	NOUN
ijassa-886	318	16	,	,	PUNCT
ijassa-886	318	17	38	38	NUM
ijassa-886	318	18	(	(	PUNCT
ijassa-886	318	19	152	152	NUM
ijassa-886	318	20	)	)	PUNCT
ijassa-886	318	21	,	,	PUNCT
ijassa-886	318	22	543	543	NUM
ijassa-886	318	23	–	–	PUNCT
ijassa-886	318	24	559	559	NUM
ijassa-886	318	25	.	.	X
ijassa-886	318	26	25	25	NUM
ijassa-886	318	27	.	.	PUNCT
ijassa-886	319	1	zamulin	zamulin	PROPN
ijassa-886	319	2	,	,	PUNCT
ijassa-886	319	3	o.a	o.a	PROPN
ijassa-886	319	4	.	.	PROPN
ijassa-886	319	5	&	&	CCONJ
ijassa-886	319	6	sonin	sonin	PROPN
ijassa-886	319	7	,	,	PUNCT
ijassa-886	319	8	k.i	k.i	PROPN
ijassa-886	319	9	.	.	PUNCT
ijassa-886	320	1	(	(	PUNCT
ijassa-886	320	2	2019	2019	NUM
ijassa-886	320	3	)	)	PUNCT
ijassa-886	320	4	economic	economic	ADJ
ijassa-886	320	5	growth	growth	NOUN
ijassa-886	320	6	of	of	ADP
ijassa-886	320	7	2018	2018	NUM
ijassa-886	320	8	and	and	CCONJ
ijassa-886	320	9	lessons	lesson	NOUN
ijassa-886	320	10	for	for	ADP
ijassa-886	320	11	russia	russia	PROPN
ijassa-886	320	12	,	,	PUNCT
ijassa-886	320	13	questions	question	NOUN
ijassa-886	320	14	of	of	ADP
ijassa-886	320	15	economic	economic	ADJ
ijassa-886	320	16	,	,	PUNCT
ijassa-886	320	17	1	1	NUM
ijassa-886	320	18	,	,	PUNCT
ijassa-886	320	19	11–36	11–36	NUM
ijassa-886	320	20	.	.	NOUN
ijassa-886	320	21	26	26	NUM
ijassa-886	320	22	.	.	PUNCT
ijassa-886	321	1	romer	romer	NOUN
ijassa-886	321	2	,	,	PUNCT
ijassa-886	321	3	p.	p.	NOUN
ijassa-886	321	4	(	(	PUNCT
ijassa-886	321	5	1987	1987	NUM
ijassa-886	321	6	)	)	PUNCT
ijassa-886	321	7	growth	growth	NOUN
ijassa-886	321	8	based	base	VERB
ijassa-886	321	9	on	on	ADP
ijassa-886	321	10	increasing	increase	VERB
ijassa-886	321	11	returns	return	NOUN
ijassa-886	321	12	due	due	ADJ
ijassa-886	321	13	to	to	ADP
ijassa-886	321	14	specialization	specialization	NOUN
ijassa-886	321	15	,	,	PUNCT
ijassa-886	321	16	american	american	PROPN
ijassa-886	321	17	economic	economic	PROPN
ijassa-886	321	18	review	review	PROPN
ijassa-886	321	19	,	,	PUNCT
ijassa-886	321	20	77	77	NUM
ijassa-886	321	21	,	,	PUNCT
ijassa-886	321	22	56–62	56–62	NUM
ijassa-886	321	23	.	.	PUNCT
ijassa-886	322	1	27	27	NUM
ijassa-886	322	2	.	.	X
ijassa-886	322	3	nordhaus	nordhaus	PROPN
ijassa-886	322	4	,	,	PUNCT
ijassa-886	322	5	w.	w.	PROPN
ijassa-886	322	6	(	(	PUNCT
ijassa-886	322	7	2017	2017	NUM
ijassa-886	322	8	)	)	PUNCT
ijassa-886	322	9	integrated	integrate	VERB
ijassa-886	322	10	assessment	assessment	NOUN
ijassa-886	322	11	models	model	NOUN
ijassa-886	322	12	of	of	ADP
ijassa-886	322	13	climate	climate	NOUN
ijassa-886	322	14	change	change	NOUN
ijassa-886	322	15	,	,	PUNCT
ijassa-886	322	16	nber	nber	PROPN
ijassa-886	322	17	reporter	reporter	PROPN
ijassa-886	322	18	,	,	PUNCT
ijassa-886	322	19	3	3	NUM
ijassa-886	322	20	,	,	PUNCT
ijassa-886	322	21	16–20	16–20	NUM
ijassa-886	322	22	.	.	PUNCT
ijassa-886	322	23	28	28	NUM
ijassa-886	322	24	.	.	PUNCT
ijassa-886	323	1	arutyunov	arutyunov	PROPN
ijassa-886	323	2	,	,	PUNCT
ijassa-886	323	3	a.v	a.v	PROPN
ijassa-886	323	4	.	.	PROPN
ijassa-886	323	5	,	,	PUNCT
ijassa-886	323	6	zhukovskij	zhukovskij	PROPN
ijassa-886	323	7	,	,	PUNCT
ijassa-886	323	8	s.e	s.e	PROPN
ijassa-886	323	9	.	.	PROPN
ijassa-886	323	10	,	,	PUNCT
ijassa-886	323	11	&	&	CCONJ
ijassa-886	323	12	pavlova	pavlova	PROPN
ijassa-886	323	13	,	,	PUNCT
ijassa-886	323	14	n.g	n.g	PROPN
ijassa-886	323	15	.	.	PROPN
ijassa-886	323	16	(	(	PUNCT
ijassa-886	323	17	2013	2013	NUM
ijassa-886	323	18	)	)	PUNCT
ijassa-886	323	19	equilibrium	equilibrium	NOUN
ijassa-886	323	20	price	price	NOUN
ijassa-886	323	21	as	as	ADP
ijassa-886	323	22	a	a	DET
ijassa-886	323	23	coincidence	coincidence	NOUN
ijassa-886	323	24	point	point	NOUN
ijassa-886	323	25	of	of	ADP
ijassa-886	323	26	two	two	NUM
ijassa-886	323	27	mappings	mapping	NOUN
ijassa-886	323	28	,	,	PUNCT
ijassa-886	323	29	comput	comput	NOUN
ijassa-886	323	30	.	.	PUNCT
ijassa-886	324	1	math	math	NOUN
ijassa-886	324	2	.	.	PUNCT
ijassa-886	325	1	math	math	NOUN
ijassa-886	325	2	.	.	PUNCT
ijassa-886	326	1	phys	phy	NOUN
ijassa-886	326	2	.	.	PUNCT
ijassa-886	326	3	,	,	PUNCT
ijassa-886	326	4	53	53	NUM
ijassa-886	326	5	(	(	PUNCT
ijassa-886	326	6	2	2	NUM
ijassa-886	326	7	)	)	PUNCT
ijassa-886	326	8	,	,	PUNCT
ijassa-886	326	9	158–169	158–169	NUM
ijassa-886	326	10	.	.	NOUN
ijassa-886	326	11	29	29	NUM
ijassa-886	326	12	.	.	PUNCT
ijassa-886	327	1	arutyunov	arutyunov	PROPN
ijassa-886	327	2	,	,	PUNCT
ijassa-886	327	3	a.v	a.v	PROPN
ijassa-886	327	4	.	.	PROPN
ijassa-886	327	5	,	,	PUNCT
ijassa-886	327	6	pavlova	pavlova	PROPN
ijassa-886	327	7	,	,	PUNCT
ijassa-886	327	8	n.g	n.g	PROPN
ijassa-886	327	9	.	.	PROPN
ijassa-886	327	10	,	,	PUNCT
ijassa-886	327	11	&	&	CCONJ
ijassa-886	327	12	shananin	shananin	PROPN
ijassa-886	327	13	,	,	PUNCT
ijassa-886	327	14	a.a	a.a	PROPN
ijassa-886	327	15	.	.	PROPN
ijassa-886	327	16	(	(	PUNCT
ijassa-886	327	17	2018	2018	NUM
ijassa-886	327	18	)	)	PUNCT
ijassa-886	327	19	new	new	ADJ
ijassa-886	327	20	conditions	condition	NOUN
ijassa-886	327	21	for	for	ADP
ijassa-886	327	22	the	the	DET
ijassa-886	327	23	existence	existence	NOUN
ijassa-886	327	24	of	of	ADP
ijassa-886	327	25	equilibrium	equilibrium	NOUN
ijassa-886	327	26	prices	price	NOUN
ijassa-886	327	27	,	,	PUNCT
ijassa-886	327	28	yugosl	yugosl	PROPN
ijassa-886	327	29	.	.	PUNCT
ijassa-886	328	1	j.	j.	PROPN
ijassa-886	328	2	oper	oper	PROPN
ijassa-886	328	3	.	.	PUNCT
ijassa-886	329	1	res	res	PROPN
ijassa-886	329	2	.	.	PROPN
ijassa-886	329	3	,	,	PUNCT
ijassa-886	329	4	28	28	NUM
ijassa-886	329	5	(	(	PUNCT
ijassa-886	329	6	1	1	NUM
ijassa-886	329	7	)	)	PUNCT
ijassa-886	329	8	,	,	PUNCT
ijassa-886	329	9	59–77	59–77	NUM
ijassa-886	329	10	.	.	PUNCT
ijassa-886	329	11	30	30	NUM
ijassa-886	329	12	.	.	PUNCT
ijassa-886	330	1	pavlova	pavlova	PROPN
ijassa-886	330	2	n.g	n.g	PROPN
ijassa-886	330	3	.	.	PROPN
ijassa-886	330	4	(	(	PUNCT
ijassa-886	330	5	2019	2019	NUM
ijassa-886	330	6	)	)	PUNCT
ijassa-886	330	7	study	study	NOUN
ijassa-886	330	8	of	of	ADP
ijassa-886	330	9	the	the	DET
ijassa-886	330	10	continuous	continuous	ADJ
ijassa-886	330	11	-	-	PUNCT
ijassa-886	330	12	time	time	NOUN
ijassa-886	330	13	open	open	ADJ
ijassa-886	330	14	dynamic	dynamic	ADJ
ijassa-886	330	15	leontief	leontief	ADJ
ijassa-886	330	16	model	model	NOUN
ijassa-886	330	17	as	as	ADP
ijassa-886	330	18	a	a	DET
ijassa-886	330	19	linear	linear	ADJ
ijassa-886	330	20	dynamical	dynamical	ADJ
ijassa-886	330	21	control	control	NOUN
ijassa-886	330	22	system	system	NOUN
ijassa-886	330	23	,	,	PUNCT
ijassa-886	330	24	diff	diff	PROPN
ijassa-886	330	25	.	.	PUNCT
ijassa-886	331	1	equations	equation	NOUN
ijassa-886	331	2	,	,	PUNCT
ijassa-886	331	3	55	55	NUM
ijassa-886	331	4	(	(	PUNCT
ijassa-886	331	5	1	1	NUM
ijassa-886	331	6	)	)	PUNCT
ijassa-886	331	7	,	,	PUNCT
ijassa-886	331	8	113–119	113–119	NUM
ijassa-886	331	9	.	.	PUNCT
ijassa-886	332	1	31	31	NUM
ijassa-886	332	2	.	.	PUNCT
ijassa-886	333	1	pavlova	pavlova	PROPN
ijassa-886	333	2	n.g	n.g	PROPN
ijassa-886	333	3	.	.	PROPN
ijassa-886	333	4	(	(	PUNCT
ijassa-886	333	5	2018	2018	NUM
ijassa-886	333	6	)	)	PUNCT
ijassa-886	333	7	necessary	necessary	ADJ
ijassa-886	333	8	conditions	condition	NOUN
ijassa-886	333	9	for	for	ADP
ijassa-886	333	10	closedness	closedness	NOUN
ijassa-886	333	11	of	of	ADP
ijassa-886	333	12	the	the	DET
ijassa-886	333	13	technology	technology	NOUN
ijassa-886	333	14	set	set	VERB
ijassa-886	333	15	in	in	ADP
ijassa-886	333	16	dynamical	dynamical	ADJ
ijassa-886	333	17	leontief	leontief	ADJ
ijassa-886	333	18	model	model	NOUN
ijassa-886	333	19	,	,	PUNCT
ijassa-886	333	20	proc	proc	NOUN
ijassa-886	333	21	.	.	PUNCT
ijassa-886	334	1	11th	11th	ADJ
ijassa-886	334	2	int	int	NOUN
ijassa-886	334	3	.	.	PUNCT
ijassa-886	334	4	conf	conf	PROPN
ijassa-886	334	5	.	.	PUNCT
ijassa-886	334	6	:	:	PUNCT
ijassa-886	335	1	management	management	NOUN
ijassa-886	335	2	large	large	ADJ
ijassa-886	335	3	-	-	PUNCT
ijassa-886	335	4	scale	scale	NOUN
ijassa-886	335	5	system	system	NOUN
ijassa-886	335	6	develop	develop	VERB
ijassa-886	335	7	.	.	PUNCT
ijassa-886	336	1	,	,	PUNCT
ijassa-886	336	2	moscow	moscow	PROPN
ijassa-886	336	3	,	,	PUNCT
ijassa-886	336	4	russia	russia	PROPN
ijassa-886	336	5	:	:	PUNCT
ijassa-886	336	6	ieee	ieee	NOUN
ijassa-886	336	7	.	.	PUNCT
ijassa-886	337	1	copyright	copyright	NOUN
ijassa-886	337	2	©	©	PROPN
ijassa-886	337	3	2020	2020	NUM
ijassa-886	337	4	assa	assa	NOUN
ijassa-886	337	5	.	.	PUNCT
ijassa-886	338	1	adv	adv	PROPN
ijassa-886	338	2	syst	syst	PROPN
ijassa-886	338	3	sci	sci	PROPN
ijassa-886	338	4	appl	appl	PROPN
ijassa-886	338	5	(	(	PUNCT
ijassa-886	338	6	2020	2020	NUM
ijassa-886	338	7	)	)	PUNCT
ijassa-886	338	8	introduction	introduction	NOUN
ijassa-886	338	9	the	the	DET
ijassa-886	338	10	extended	extended	ADJ
ijassa-886	338	11	harrod	harrod	NOUN
ijassa-886	338	12	-	-	PUNCT
ijassa-886	338	13	domar	domar	NOUN
ijassa-886	338	14	model	model	NOUN
ijassa-886	338	15	the	the	DET
ijassa-886	338	16	solow	solow	PROPN
ijassa-886	338	17	model	model	PROPN
ijassa-886	338	18	optimal	optimal	ADJ
ijassa-886	338	19	consumption	consumption	NOUN
ijassa-886	338	20	in	in	ADP
ijassa-886	338	21	the	the	DET
ijassa-886	338	22	extended	extended	ADJ
ijassa-886	338	23	harrod	harrod	NOUN
ijassa-886	338	24	-	-	PUNCT
ijassa-886	338	25	domar	domar	NOUN
ijassa-886	338	26	model	model	NOUN
ijassa-886	338	27	conclusion	conclusion	NOUN