Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter-Reference-Cited by-同舟云学术

Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Zhang Na¹,Ao Ji-jun¹

Affiliation:

1. College of Sciences, Inner Mongolia University of Technology , Hohhot 010051 , China

Abstract

Abstract A kind of fourth-order boundary value problem with eigenparameter-dependent boundary and transmission conditions is investigated. By constructing the characteristic function, we prove that the problems consist of a finite number of eigenvalues. We obtain that the number of eigenvalues of the problems not only depend on the order of the equation but also depend on the partition of the domain interval, the boundary conditions, and the eigenparameter-dependent transmission conditions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0110/pdf

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