Displaying similar documents to “A characteristic initial value problem for a strictly hyperbolic system.”

Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type

A. Berdyshev, E. Karimov (2006)

Open Mathematics

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In this work two non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations.

Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations

B. Eshmatov, E. Karimov (2007)

Open Mathematics

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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...