Criteria of unique solvability of nonlocal boundary-value problem for systems of hyperbolic equations with mixed derivatives

A. T. Asanova

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2016), pp. 3-21.

Résumé

We consider nonlocal boundary-value problem for a system of hyperbolic equations with two independent variables. We investigate questions of existence of unique classical solution to problem under consideration. In terms of initial data we propose criteria of unique solvability and suggest algorithms of finding os solutions to nonlocal boundary-value problem. As an application we give conditions of solvability of periodic boundary-value problem for a system of hyperbolic equations.

Détail

Keywords: hyperbolic equation, nonlocal boundary-value problem, periodic problem, solvability, algorithm.

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