A stability result for an inverse problem with integrodifferential operator on a finite interval. (English) Zbl 1464.45027

Mosazadeh, Seyfollah; Koyunbakan, Hikmet

J. Integral Equations Appl. 32, No. 1, 77-87 (2020).

Summary: 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.

MSC:

45Q05	Inverse problems for integral equations
45C05	Eigenvalue problems for integral equations
45M10	Stability theory for integral equations

Keywords:

inverse problem; integro-differential equation; Volterra integral operator; uniqueness theorem; stability theorem

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