id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-403	Matveeva, Inessa I.	Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients	2020	12	.pdf	application/pdf	4484	311	79	Taking into account that y(t) satisfies (1.1), we have d dt V (t, y) = 〈 d dt H(t)y(t), y(t) 〉 + 〈 H(t)z(t), y(t) 〉 + 〈 H(t)F ( t, y(t), y(t− τ(t)), d dt y(t− τ(t)) ) , y(t) 〉 + 〈 H(t)y(t), z(t) 〉 + 〈 H(t)y(t), F ( t, y(t), y(t− τ(t)), d dt y(t− τ(t)) )〉 + 〈K(0)y(t), y(t)〉 − ( 1− d dt τ(t) ) 〈K(τ(t))y(t− τ(t)), y(t− τ(t))〉 6 I. I. MATVEEVA EJDE-2020/20 + ∫ t t−τ(t) 〈 d dt K(t− s)y(s), y(s) 〉 ds+ 〈 L(0)z(t), z(t) 〉 + 〈 L(0)F ( t, y(t), y(t− τ(t)), EJDE-2020/20 EXPONENTIAL STABILITY OF SOLUTIONS 7 Consider the group of the summands containing F ( t, y(t), y(t − τ(t)), ddty(t − τ(t)) ) and denote them by W (t).	cache/ejde-403.pdf	txt/ejde-403.txt