On Inverse Boundary Value Problem for a Fredholm Integro-Differential Equation with Degenerate Kernel and Spectral Parameter
- Authors: Yuldashev T.K.1
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Affiliations:
- Siberian State University of Sciences and Technology
- Issue: Vol 40, No 2 (2019)
- Pages: 230-239
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204010
- DOI: https://doi.org/10.1134/S199508021902015X
- ID: 204010
Cite item
Abstract
In this paper are considered the questions of unique solvability and redefinitions of a nonlocal inverse problem for the Fredholm integro-differential equation of the second order with degenerate kernel, integral condition, and spectral parameter. Calculations of the value of the spectral parameter are reduced to the solve of trigonometric equations. Systems of algebraic equations are obtained. The singularities that arose in determining arbitrary constants are studied. A criterion for unique solvability of the problem is established and the corresponding theorem is proved.
About the authors
T. K. Yuldashev
Siberian State University of Sciences and Technology
Author for correspondence.
Email: tursunbay@rambler.ru
Russian Federation, Krasnoyarskiy Rabochiy avenue 31, Krasnoyarsk, 660014