Electron. J. Diff. Equ., Vol. 2016 (2016), No. 82, pp. 1-9.

A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function

Xiaoling Han, Ting Gao

Abstract:
In this article, we give a priori bounds on the possible non-real eigenvalue of regular fourth-order boundary value problem with indefinite weight function and obtain a sufficient conditions for such problem to admit non-real eigenvalue.

Submitted January 1, 2016. Published March 23, 2016.
Math Subject Classifications: 34B05, 34L15, 47B50.
Key Words: a priori bound; non-real eigenvalue; indefinite weight function

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Xiaoling Han
College of Mathematics and Statistics
Northwest Normal University
Lanzhou, Gansu 730070, China
email: hanxiaoling@nwnu.edu.cn
Ting Gao
College of Mathematics and Statistics
Northwest Normal University
Lanzhou, Gansu 730070, China
email: 939832645@qq.com

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