NONREAL EIGENVALUES OF SINGULAR INDEFINITE STURM–LIOUVILLE PROBLEMS

Xiaoxue Han; Fu Sun

doi:10.1216/rmj.2024.54.1345

Abstract

The present paper deals with nonreal eigenvalues of singular indefinite Sturm–Liouville boundary value problems with limit-circle type nonoscillation endpoints. An estimate of upper bounds on nonreal eigenvalues for the singular indefinite eigenvalue problems associated to the separated self-adjoint boundary conditions with nonprincipal solutions is obtained.

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Xiaoxue Han. Fu Sun. "NONREAL EIGENVALUES OF SINGULAR INDEFINITE STURM–LIOUVILLE PROBLEMS." Rocky Mountain J. Math. 54 (5) 1345 - 1357, October 2024. https://doi.org/10.1216/rmj.2024.54.1345

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Received: 6 December 2022; Revised: 5 April 2023; Accepted: 4 May 2023; Published: October 2024

First available in Project Euclid: 26 September 2024

Digital Object Identifier: 10.1216/rmj.2024.54.1345

Subjects:

Primary: 34B05 , 34B24 , 34L15 , 47B50

Keywords: indefinite , nonreal eigenvalue , Sturm–Liouville boundary problem , the upper bound

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