Determination of the coefficient and boundary regime in boundary value problem for integro-differential equation with degenerate kernel
- Authors: Yuldashev T.K.1
-
Affiliations:
- Department of Higher Mathematics
- Issue: Vol 38, No 3 (2017)
- Pages: 547-553
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199426
- DOI: https://doi.org/10.1134/S199508021703026X
- ID: 199426
Cite item
Abstract
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.
About the authors
T. K. Yuldashev
Department of Higher Mathematics
Author for correspondence.
Email: tursun.k.yuldashev@gmail.com
Russian Federation, pr. Krasnoyarskii Rabochii 31, Krasnoyarsk, 660014
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