An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity-Reference-Cited by-同舟云学术

An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity

Published:2015 Issue: Volume:2015 Page:1-4
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Bondarenko Natalia¹

Affiliation:

1. Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia

Abstract

The inverse problem by the Weyl matrix is studied for the matrix Sturm-Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval. We construct special fundamental systems of solutions for this equation and prove the uniqueness theorem of the inverse problem.

Funder

Russian Ministry of Education and Science

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2015/647396.pdf

Reference7 articles.

1. Inverse problems for differential operators with singular boundary conditions

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inverse spectral problems for Bessel operators with interior transmission conditions;Journal of Mathematical Analysis and Applications;2021-12

2. Solution of the inverse problem for Bessel operator on an interval [ 1 , a ] $[ 1,a ]$;Journal of Inequalities and Applications;2018-02-17

3. Inverse problems for the matrix Sturm–Liouville equation with a Bessel-type singularity;Applicable Analysis;2017-03-31

4. Matrix Sturm–Liouville equation with a Bessel-type singularity on a finite interval;Analysis and Mathematical Physics;2016-03-28

5. On Stability of Basis Property of Root Vectors System of the Sturm-Liouville Operator with an Integral Perturbation of Conditions in Nonstrongly Regular Samarskii-Ionkin Type Problems;International Journal of Differential Equations;2015