The Inverse Problem for an Integro-Differential Equation and its Solution Method


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The inverse problem of the determination of the unknown coefficient in an integro-differential equation is considered. Existence and uniqueness theorems are proved for the inverse problem. A numerical method for the determination of the unknown coefficient is proposed and substantiated. Numerical results illustrating the convergence of the method are reported.

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A. Denisov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

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Email: den@cs.msu.ru
俄罗斯联邦, Moscow

A. Efimov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

Email: den@cs.msu.ru
俄罗斯联邦, Moscow

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