Bounds on real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Kikonko, Mervis^1,2  Mingarelli, Angelo B.³ 

[1] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden

[2] Univ Zambia, Dept Math & Stat, POB 32379, Lusaka, Zambia

[3] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

关键词: Non-definite;    Indefinite;    Dirichlet problem;    Turning point;    Spectrum;    Non-real eigenvalues;   

DOI  :  10.1016/j.jde.2016.08.035

来源: Elsevier

【 摘 要 】

In this paper we obtain bounds on the real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem, with Dirichlet boundary conditions, that improve on corresponding results obtained in Behrndt et al., [7]. (C) 2016 The Authors. Published by Elsevier Inc.

【 授权许可】

Free