An inverse problem for an integro-differential pencil with polynomial eigenparameter-dependence in the boundary condition

被引：0
作者：
Natalia P. Bondarenko
机构：
[1] Samara National Research University,Department of Applied Mathematics and Physics
[2] Saratov State University,Department of Mechanics and Mathematics
来源：
Analysis and Mathematical Physics | 2019年 / 9卷
关键词：
Inverse spectral problem; Integro-differential pencil; Polynomial dependence on the spectral parameter; Eigenparameter-dependent boundary condition; Uniqueness; Constructive solution; Necessary and sufficient conditions; 34A55; 34B08; 34B09; 34B10; 34L20; 47E05;
D O I：
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学科分类号：
摘要：
The boundary value problem for the first-order integro-differential equation is considered with the periodic boundary condition, polynomially dependent on the spectral parameter. The inverse problem is studied, which consists in reconstruction of the convolution kernel and the polynomial in the boundary condition, by using the spectrum. We obtain (1) uniqueness, (2) a constructive procedure for solution, (3) necessary and sufficient conditions for solvability of the inverse problem.
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页码：2227 / 2236
页数：9
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