一类二阶偏微分方程过定系统解的相容条件和广义模

IF 0.5 Q3 MATHEMATICS

Ufa Mathematical Journal Pub Date : 2016-01-01 DOI:10.13108/2016-8-2-58

R. Pirov

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引用次数: 0

摘要

．本文研究了一类二阶偏微分方程的超定系统，该系统有一个未知函数，其右侧有一个或两个二阶导数。我们找到了相容条件，并证明了最多包含六个任意常数的解的存在唯一性定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On compatibility conditions and manilolds of solutions to one class of overdetermined systems of second order partial differential equations

. In the work we consider a class of overdetermined system of second order partial diﬀerential equations for one unknown function involving one or two second order derivatives in the right hand side. We ﬁnd the compatibility conditions and prove theorems on existence and uniqueness of solutions involving at most six arbitrary constants.

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来源期刊

Ufa Mathematical Journal MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量