The dirichlet problem for a loaded mixed-type equation in a rectangular domain |
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Authors: | K. B. Sabitov E. P. Melisheva |
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Affiliation: | 19494. Samara State Academy of Social Sciences and Humanities, ul. Antonova-Ovseenko 26, Samara, 443090, Russia
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Abstract: | We establish necessary and sufficient conditions for the unique solvability of the first boundary problem for a loaded equation with the Lavrent’ev-Bitsadze operator in a rectangular domain. We obtain a solution to the stated problem as the sum of the eigenfunction series for the corresponding one-dimensional problem with respect to eigenvalues. We prove the stability of the solution with respect to boundary functions. |
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