Table of Contents
ISRN Mathematical Analysis
Volume 2013 (2013), Article ID 549876, 5 pages
http://dx.doi.org/10.1155/2013/549876
Research Article

On Singular Dissipative Fourth-Order Differential Operator in Lim-4 Case

Department of Mathematics, Ankara University, Tandoğan, 06100 Ankara, Turkey

Received 26 June 2013; Accepted 25 July 2013

Academic Editors: D. D. Hai and W. Shen

Copyright © 2013 Ekin Uğurlu and Elgiz Bairamov. 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

A singular dissipative fourth-order differential operator in lim-4 case is considered. To investigate the spectral analysis of this operator, it is passed to the inverse operator with the help of Everitt's method. Finally, using Lidskiĭ's theorem, it is proved that the system of all eigen- and associated functions of this operator (also the boundary value problem) is complete.