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"Solvability of the generalized Dirichlet problem for hyperbolic equations"
I.V. Kolos and M.V. Kolos |
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A priory inequalities with a negative norm are obtained for hyperbolic differential equations with Dirichlet boundary conditions for the case when the right-hand sides belong to a space of generalized functions. The existence and uniqueness of a generalized solution to the problem as well as the convergence of an approximate method are proved.
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I.V. Kolos e-mail: rektorat@urao.edu M.V. Kolos e-mail: arush@srcc.msu.ru |