A stability result for an inverse problem with integrodifferential operator on a finite interval

Seyfollah Mosazadeh; Hikmet Koyunbakan

doi:10.1216/JIE.2020.32.77

Abstract

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.

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Seyfollah Mosazadeh. Hikmet Koyunbakan. "A stability result for an inverse problem with integrodifferential operator on a finite interval." J. Integral Equations Applications 32 (1) 77 - 87, Spring 2020. https://doi.org/10.1216/JIE.2020.32.77

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Received: 22 June 2018; Accepted: 29 April 2019; Published: Spring 2020

First available in Project Euclid: 25 June 2020

zbMATH: 07223724

MathSciNet: MR4115973

Digital Object Identifier: 10.1216/JIE.2020.32.77

Subjects:

Primary: 34D20 , 45D05 , 65F18 , 65M32 , 93D20

Keywords: integrodifferential equation , inverse problem , stability theorem , Uniqueness theorem , Volterra integral operator

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