Solution of weighted Cauchy problem for a class of Huygens equations

被引：0

作者：

A. H. Hovhannisyan

S. G. Rafayelyan

机构：

[1] Yerevan State University,

来源：

Journal of Contemporary Mathematical Analysis | 2007年 / 42卷 / 5期

关键词：

Hyperbolic equations; Huygens principle; hypergeometric equation; weighted initial problem; 35L15;

D O I：

10.3103/S1068362307050068

中图分类号：

学科分类号：

摘要：

The paper studies the initial value problem for a class of equations satisfying Huygens’ principle. Since this equations have singularities at t = 0, it is necessary first to determine the form of the initial conditions and then the solution of the corresponding problem is constructed in a finite number of steps. Examples of natural initial data are presented.

引用

页码：292 / 295

页数：3

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