用亚纯双周期函数研究微分方程可积的性质

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2018-01-01 DOI:10.2298/TAM1801121P

M. Petrovitch

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引用次数: 2

摘要

对于不显式地包含x的任意阶，可以提出指定属于这种类型且可以由亚纯双周期函数满足的微分方程。在这里，我指出了这种方程的一个性质，它简化了给定的问题，而不需要深入研究，它可以转化为一个非常简单和实用的规则。假设方程写成

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On a property of differential equations integrable using meromorphic double-periodic functions

of an arbitrary order, which does not contain x explicitly, one can propose to specify differential equations which belong to such type and that can be satisfied by meromorphic double-periodic functions. Here, I indicate a property of such equations which simplifies the given problem, without study in depth and which translates into a very simple and practical rule. Suppose the equation is written as

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来源期刊

Theoretical and Applied Mechanics MECHANICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

32 weeks

期刊介绍： Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.