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- Title
System of nonlinear integral equations for the unknown functions in a functional-differential hyperbolic equation.
- Authors
Denisov, A.
- 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.
- Subjects
NONLINEAR integral equations; NUMERICAL solutions to nonlinear integral equations; INVERSE problems; DELAY differential equations; NUMERICAL solutions to integral equations
- Publication
Differential Equations, 2017, Vol 53, Issue 9, p1114
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266117090026