The solution of the Cauchy problem for generalized Euler-Poisson-Darboux equation

被引：0

作者：

Hasanov, Anvar ^{[1
]}

机构：

[1] Uzbek Acad Sci, Inst Math, 29 F Hodjaev St, Tashkent 700125, Uzbekistan

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2007年 / 8卷 / M07期

关键词：

Generalized Euler-Poisson-Darboux equation; degenerating hyperbolic type equations; function of Riemann; a Cauchy problem; confluent hypergeometric functions of Kummer from three variables;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper in a characteristic triangle Cauchy problem for generalized Euler-Poisson-Darboux equation L-alpha,L-beta (u) equivalent to u(xi eta) + [alpha/eta+xi + beta/eta-xi] u(xi) + [alpha/eta+xi - beta/eta-xi] u(eta) + gamma u = 0. is considered. Function of Riemann, which expressed by Kummer's function of three variables is constructed in an explicit form. By the method of Riemann for the hyperbolic equations, a solution of the Cauchy problem for generalized Euler-Poisson-Darboux equation expressed in an explicit form.

引用

页码：30 / 43

页数：14

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