A STABILITY RESULT FOR AN INVERSE PROBLEM WITH INTEGRODIFFERENTIAL OPERATOR ON A FINITE INTERVAL

被引：1

作者：

Mosazadeh, Seyfollah ^{[1
]}

Koyunbakan, Hikmet ^{[2
]}

机构：

[1] Univ Kashan, Fac Math Sci, Dept Pure Math, Kashan, Iran

[2] Firat Univ, Fac Sci, Dept Math, Elazig, Turkey

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2020年 / 32卷 / 01期

关键词：

inverse problem; integrodifferential equation; Volterra integral operator; uniqueness theorem; stability theorem; SPECTRAL PROBLEM; EIGENVALUE;

D O I：

10.1216/jie.2020.32.77

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A boundary value problem consisting of an integrodifferential equation, together with boundary conditions dependent on the spectral parameter, is investigated. The asymptotic behavior of the eigenvalues is studied, and we prove the uniqueness and the stability theorems for the solution of the inverse problem.

引用

页码：77 / 87

页数：11

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