Partial inverse problems for quadratic differential pencils on a graph with a loop-Reference-Cited by-同舟云学术

Partial inverse problems for quadratic differential pencils on a graph with a loop

Published:2020-06-01 Issue:3 Volume:28 Page:449-463
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:
Short-container-title:

Author:

Bondarenko Natalia P.¹,Shieh Chung-Tsun²

Affiliation:

1. Department of Applied Mathematics and Physics, Samara National Research University, Moskovskoye Shosse 34, Samara443086; and Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia

2. Department of Mathematics, Tamkang University, 151 Ying-chuan Road Tamsui, New TaipeiCounty, Taiwan

Abstract

AbstractIn this paper, partial inverse problems for the quadratic pencil of Sturm–Liouville operators on a graph with a loop are studied. These problems consist in recovering the pencil coefficients on one edge of the graph (a boundary edge or the loop) from spectral characteristics, while the coefficients on the other edges are known a priori. We obtain uniqueness theorems and constructive solutions for partial inverse problems.

Funder

Russian Foundation for Basic Research

Ministry of Science and Technology, Taiwan

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2018-0104/pdf

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