id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-115	Mamedov, Khanlar R.; Menken, Hamza	On the basisness in L_2(0,1) of the root functions in not strongly regular boundary value problems	2008	10	.pdf	application/pdf	2878	195	83	All eigenvalues of the boundary-value problem (1.1), (1.2), starting from some num- ber, are simple and form two infinite sequencesλk,1, λk,2, k = N,N+1, · · ·, whereN is a positive integer and λk,1 = −(2kπ)2 − q′(1)− q′(0) + 1∫ 0 q2(t)dt (4kπ)2 +O( 1 k3 ), (2.1) λk,2 = −(2kπ)2 + q′(1)− q′(0)− 1∫ 0 q2(t)dt (4kπ)2 +O( 1 k3 ), (2.2) and the corresponding eigenfunctions are of the form yk,1(x) [7] N. B. Kerimov, Kh. R. Mamedov, On the Riesz basis property of the root functions in certain regular boundary value problems,Math.	cache/ejpam-115.pdf	txt/ejpam-115.txt