ON SOLVABILITY BY QUADRATURES CONDITIONS OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER HYPERBOLIC SYSTEMS

被引：1

作者：

Sozontova, E. A. ^{[1
]}

机构：

[1] Kazan Fed Univ, Elabuga Insitute, Kazanskaya Str 89, Yelabuga 423600, Russia

来源：

UFA MATHEMATICAL JOURNAL | 2016年 / 8卷 / 03期

关键词：

hyperbolic system; Goursat problem; boundary value problem; solvability by quadratures; factorization of equation;

D O I：

10.13108/2016-8-3-130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present work we consider boundary value problems for second order hyperbolic system with higher partial derivatives u(xy), u(xy,) and u(xx,) u(yy). The aim of the study is to find sufficient conditions for solvability of the considered problems by quadratures. We proposed a method for finding explicit solutions for the mentioned problems based on factorization of the equations in the original systems. As a result, in terms of the coefficients of these systems, we obtain 14 conditions for solvability by quadratures for each boundary value problem.

引用

页码：130 / 135

页数：6

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