NONLOCAL PROBLEMS FOR THE EQUATION OF THE MIXED PARABOLIC-HYPERBOLIC TYPE



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Abstract

Boundary value problems with non-local conditions for partial differential equation are considered. In these problems, non-local conditions connect the values of a required solutions on the opposite sides of a rectangular domain. Criteria of uniqueness of each of the problems are obtained. Solutions to both problems are constructed as sums of Fourier series. The stability of solutions is proved.

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G.R. Yunusova

Samara State University of Architecture and Civil Engineering

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Email: morenov.sv@ssau.ru

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Copyright (c) 2011 Yunusova G.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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