Determination of the coefficient and boundary regime in boundary value problem for integro-differential equation with degenerate kernel
- Autores: Yuldashev T.1
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Afiliações:
- Department of Higher Mathematics
- Edição: Volume 38, Nº 3 (2017)
- Páginas: 547-553
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199426
- DOI: https://doi.org/10.1134/S199508021703026X
- ID: 199426
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Resumo
This article examines questions of unique solvability for an inverse boundary value problem to recover the coefficient and boundary regime of a nonlinear integro-differential equation with degenerate kernel. We propose a novel method of degenerate kernel for the case of inverse boundary value problem for the considered ordinary integro-differential equation of second order. By the aid of denotation, the integro-differential equation is reduced to a system of algebraic equations. Solving this system and using additional conditions, we obtained a system of two nonlinear equations with respect to the first two unknown quantities and a formula for determining the third unknown quantity. We proved the single-value solvability of this system using the method of successive approximations.
Sobre autores
T. Yuldashev
Department of Higher Mathematics
Autor responsável pela correspondência
Email: tursun.k.yuldashev@gmail.com
Rússia, pr. Krasnoyarskii Rabochii 31, Krasnoyarsk, 660014