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A nonlocal inverse problem for a mixed-type equation

К. Б. СабитовVolga Region Social-Humanitarian Academy, ul. Antonova-Ovseenko 26, Samara, 443090, RussiaN. V. Martem’yanovaVolga Region Social-Humanitarian Academy
2011en
ABI

Abstract

We establish a criterion for the unique solvability of the inverse problem for the Lavrent’ev-Bitsadze equation with unknown right-hand side. We construct a solution as the sum of a series over a system of bi-orthogonal root functions of the corresponding adjoint problems on eigenvalues.

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