S. A. Aldashev, “The well-posed of the local boundary value problem in cylindrical domain for multisize hyperbolic equations with wave operator”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2015, Volume 15, Issue 4,Pages <nobr>3

The well-posed of the local boundary value problem in cylindrical domain for multisize hyperbolic equations with wave operator

S. A. Aldashev

Kazakh National Pedagogical University

Abstract: In this article we want shown unique solvability local boundary problems in cylindrical domain for multi-dimensional hyperbolic equations with wave operators, which are the generalized Dirichlet and Poincare problems. We take also criteria unique regular solution.

Keywords: correctness, local boundary problem, cylindrical domain, wave equations.

UDC: 517.956

Received: 01.10.2015

DOI: 10.17377/PAM.2015.15.401