Euler integrals and multi-integrals of linear partial differential equations

被引：0
|
作者：
E. I. Ganzha
机构：
[1] Krasnoyarsk State Pedagogical University,
来源：
Mathematical Notes | 2011年 / 89卷
关键词：
Euler integral and multi-integral; linear partial differential equation; Laplace cascade integration method; reduction algorithm;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the notion of reducibility of solutions of the Euler form generalizing solutions arising from the Laplace cascade method for integrating second-order hyperbolic equations in the plane. We present reduction algorithms and prove the equivalence of various possible exact definitions of the reduction of similar explicit solutions.
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页码：37 / 50
页数：13
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