Abstract and Applied Analysis
Volume 2012 (2012), Article ID 576843, 6 pages
http://dx.doi.org/10.1155/2012/576843
Research Article

Basis Properties of Eigenfunctions of Second-Order Differential Operators with Involution

Asylzat Kopzhassarova and Abdizhakhan Sarsenbi

Department of Mathematics, M. Auezov South Kazakhstan State University, 5 Tauke Han Avenue, 160012 Shymkent, Kazakhstan

Received 8 May 2012; Revised 13 July 2012; Accepted 6 August 2012

Academic Editor: Valery Covachev

Copyright © 2012 Asylzat Kopzhassarova and Abdizhakhan Sarsenbi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the basis properties of systems of eigenfunctions and associated functions for one kind of generalized spectral problems for a second-order ordinary differential operator.