Abstract
For an elliptic-hyperbolic type equation, the boundary-value problem with nonlocal Samarskii–Ionkin condition in a rectangular domain is solved. Using the spectral analysis method, a uniqueness criterion is established and the existence theorem for the solution of the problem is proved. The solution of the problem is constructed as the sum of a biorthogonal series.
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Original Russian Text © Yu. K. Sabitova, 2015, published in Matematicheskie Zametki, 2015, Vol. 98, No. 3, pp. 393–406.
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Sabitova, Y.K. Boundary-value problem with nonlocal integral condition for mixed-type equations with degeneracy on the transition line. Math Notes 98, 454–465 (2015). https://doi.org/10.1134/S0001434615090114
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DOI: https://doi.org/10.1134/S0001434615090114