Inverse spectral problem for differential pencils with a frozen argument-Reference-Cited by-同舟云学术

Inverse spectral problem for differential pencils with a frozen argument

Published:2024-04-24 Issue: Volume: Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Hu Yi-Teng¹,Sat Murat²

Affiliation:

1. School of Mathematics and Statistics , 47905 Xidian University , Xi’an 710071, Shaanxi , P. R. China

2. Department of Mathematics , Faculty of Science and Art , 162315 Erzincan Binali Yildirim University , Erzincan , 24100 , Türkiye

Abstract

Abstract This paper deals with differential pencils possessing a term depending on the unknown function with a fixed argument. We deduce the so called main equation together with its fine structure for the spectral problem. Then, according to the boundary conditions and the position of argument, we describe two cases: degenerate and non-degenerate. For these two cases, the uniqueness of inverse spectral problem is studied and a constructive procedure for reconstructing the potentials along with necessary and sufficient conditions of the inverse problem solvability are obtained.

Funder

Fundamental Research Funds for the Central Universities

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2023-0085/pdf

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