Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations |
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| Authors: | B E Eshmatov E T Karimov |
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| Institution: | (1) Karshi State University, 700430 Karshi, Uzbekistan;(2) Institute of Mathematics, Uzbek Academy of Sciences, 700125 Tashkent, Uzbekistan |
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| Abstract: | In the present paper we study the unique solvability of two non-local boundary value problems with continuous and special
gluing conditions for parabolic-hyperbolic type equations. The uniqueness of the solutions of the considered problems are
proven by the “abc” method. Existence theorems for the solutions of these problems are proven by the method of integral equations.
The obtained results can be used for studying local and non-local boundary-value problems for mixed-hyperbolic type equations
with two and three lines of changing type.
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| Keywords: | Parabolic-hyperbolic type equations gluing conditions boundary value problems integral equation ” abc” method |
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