三类非线性常微分方程的可积定理  

The Integral Formula of Three Kinds of Nonlinear differential Equations

作　　者：郑江琳[1] 汤光宋[1] 

机构地区：[1]江汉大学数学系

出　　处：《山东轻工业学院学报（自然科学版）》1997年第1期54-57,共4页Journal of Shandong Polytechnic University

摘　　要：借助某类超越函数的积分公式，利用双变换，获得三类非线性常微分方程的可积定理，并给出了这几类方程的通积分的表达式，所得结论是相应文献结果的深化与拓广。Based on some kind of ultra functional integral formula and by the use of the double transformation,this paper attains the integral formula of three kinds of nonlinear differential equations and gives the reduction of integral to a common denominator of these equations.The conclusion drawn is the amplification of the results of relative references.

关 键 词：非线性微分方程 积分方式 可积定理 

分 类 号：O175.14[理学—数学]