Title of article
On fourth-order eigenvalue problems with indefinite weight
Author/Authors
Aliyev, Ziyatkhan S. Baku State University, Baku, Azerbaijan , Huseynova, Rada A. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
Pages
10
From page
37
To page
46
Abstract
In this paper we consider eigenvalue problems for the fourth order differential equations with
sign-changing weight. We use the Ljusternik-Schnirelmann theory in C
1
-manifolds show that there exists
two series of positive and negative eigenvalues of this problem. The first positive and negative eigenvalues
are simple, and the corresponding eigenfunctions do not vanish in the interval (0.1).
Keywords
eigenvalue , eigenfunction , fourth order eigenvalue problem , indefinite weight , Ljusternik Schnirelmann
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2016
Full Text URL
Record number
2611284
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