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On the Question of Existence of a Solution to the Tricomi Problem for One Class of Systems of Mixed-Type Equations |
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| Authors: | Sabitov K B Mugafarov M F |
| Institution: | (1) Sterlitamak State Education Institute, Sterlitamak |
| Abstract: | We establish extremal properties of regular and weak solutions to the Tricomi problem for a system of mixed-type equations. Using a Schwartz-type alternation method, we prove unique weak solvability of the Tricomi problem under some constraints on coefficients. |
| Keywords: | Tricomi problem mixed-type equations extremal properties regular solution weak solution positive definite matrix |
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