Email this article System of nonlinear integral equations for the unknown functions in a functional-differential hyperbolic equation
- Authors: Denisov A.M.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 53, No 9 (2017)
- Pages: 1114-1120
- Section: Integral Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154548
- DOI: https://doi.org/10.1134/S0012266117090026
- ID: 154548
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Abstract
We consider the inverse problem for a functional-differential equation in which the delay function and a function occurring in the source are unknown. The values of the solution and its derivative at x = 0 are given as additional information. We derive a system of nonlinear integral equations for the unknown functions. This system is used to prove a uniqueness theorem for the inverse problem.
About the authors
A. M. Denisov
Lomonosov Moscow State University
Author for correspondence.
Email: den@cs.msu.ru
Russian Federation, Moscow, 119991
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