Solution of the cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables

被引：0

作者：

V. I. Korzyuk

I. S. Kozlovskaya

机构：

[1] National Academy of Sciences,Institute of Mathematics

来源：

Differential Equations | 2012年 / 48卷

关键词：

General Solution; Cauchy Problem; Hyperbolic Equation; Computer Algebra System; Volterra Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

On the plane, we consider a linear partial differential equation of arbitrary order of hyperbolic type. The operator in the equation is a composition of first-order differential operators. The equation is accompanied with Cauchy conditions. For the equation, we obtain an analytic form of the general solution, from which we single out the unique classical solution of the Cauchy problem.

引用

页码：707 / 716

页数：9

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