[1]伍锦棠,徐卫忠.二阶微分方程的可积性判据[J].华侨大学学报(自然科学版),2005,26(4):346-348.[doi:10.3969/j.issn.1000-5013.2005.04.004]
　Wu Jintang,Xu Weizhong.Integral Criterion of the Second Order Differential Equation[J].Journal of Huaqiao University(Natural Science),2005,26(4):346-348.[doi:10.3969/j.issn.1000-5013.2005.04.004]
点击复制

二阶微分方程的可积性判据()
分享到：

《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第26卷
期数:
2005年第4期
页码:
346-348
栏目:
出版日期:
2005-10-20

文章信息/Info

Title:
Integral Criterion of the Second Order Differential Equation
文章编号:
1000-5013(2005)04-0346-03
作者:
伍锦棠; 徐卫忠
华侨大学数学系; 华侨大学数学系 福建泉州362021; 福建泉州362021
Author(s):
Wu Jintang;  Xu Weizhong
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
二阶微分方程;  特解;  通解;  充分条件;  可积判据;  降阶
Keywords:
second order differential equation;  special solution;  general solution;  sufficient condition;  integrable criterion;  depression of order
分类号:
O241.8
DOI:
10.3969/j.issn.1000-5013.2005.04.004
文献标志码:
A
摘要:
研究二阶微分方程的可积性,通过引进起中介传媒作用的函数f(x),φ(x)等,经函数变换,有效地将二阶线性微分方程降至一阶求解.文中还找到该类方程可积的若干个充分判据,给出用中介函数f(x),φ(x)等表示的二阶微分方程通解的积分表达式.
Abstract:
In this paper,we study the integral criterion of the second order differiential equation.Two functions f(x) and φ(x) are introduced as intermediary,by transforming,the second order differential equations are reduced into one order.Some integrable sufficient conditions are given,and the general solution can be expressed by f(x) and φ(x).

相似文献/References:

[1]朱尔圆.线性代数方程组反问题的对称矩阵解[J].华侨大学学报(自然科学版),1990,11(2):127.[doi:10.11830/ISSN.1000-5013.1990.02.0127]
　Zhu Eryuan.A Symmetric Matrix Solution to the Inverse Problem of the System of Linear Algebraic Equations[J].Journal of Huaqiao University(Natural Science),1990,11(4):127.[doi:10.11830/ISSN.1000-5013.1990.02.0127]

备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(03QZR09)
更新日期/Last Update: 2014-03-23