拟线性常微分方程在半无限区间的边值问题

数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 331-337.

拟线性常微分方程在半无限区间的边值问题

School of Mathematics and Information Science, Henan Normal University, Xinxiang 453002, China; Department of Mathematics, Jiaozuo University, Jiaozuo 454001, China

收稿日期:2003-12-10 出版日期:2006-09-30 发布日期:2023-11-27
作者简介:YANG Hui-sheng(1953-),male,native of Boai,Henan,an associate professor of Henan Normal University,engages in nonlinear differential equation;MA Yun-xin(1956-),male,native of Luoyang,Henan,an associate professor of Jiaozuo University,engages in nonlinear differential equation.

Boundary Value Problems of Quasi-linear Ordinary Differential Equations on the Semi-infinite Interval

School of Mathematics and Information Science, Henan Normal University, Xinxiang 453002, China; Department of Mathematics, Jiaozuo University, Jiaozuo 454001, China

Received:2003-12-10 Online:2006-09-30 Published:2023-11-27
About author:YANG Hui-sheng(1953-),male,native of Boai,Henan,an associate professor of Henan Normal University,engages in nonlinear differential equation;MA Yun-xin(1956-),male,native of Luoyang,Henan,an associate professor of Jiaozuo University,engages in nonlinear differential equation.

摘要/Abstract

摘要： Existence of positive solution is established for boundary value problems of non-singular for a class quasi-linear ordinary differential equation on the semi-infinite interval. The results are obtained by using the nonlinear alternative of Leray-Schauder method.

关键词: positive , solution;quasi-linear , ordinary , differential , equation;existence

Abstract: Existence of positive solution is established for boundary value problems of non-singular for a class quasi-linear ordinary differential equation on the semi-infinite interval. The results are obtained by using the nonlinear alternative of Leray-Schauder method.

Key words: positive , solution;quasi-linear , ordinary , differential , equation;existence

中图分类号:

O175.8

杨会生, 马韵新. 拟线性常微分方程在半无限区间的边值问题[J]. 数学季刊, 2006, 21(3): 331-337.

YANG Hui-sheng, MA Yun-xin . Boundary Value Problems of Quasi-linear Ordinary Differential Equations on the Semi-infinite Interval[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 331-337.

[1]	刘震, 白永强, 李起升. 格点上的非交换微分运算及其应用[J]. 数学季刊, 2007, 22(2): 245-251.
[2]	倪小虹, 葛渭高. 二阶微分方程半无穷区间边值问题的正解[J]. 数学季刊, 2005, 20(4): 380-384.
[3]	吕保献, 李秀丽. 正定性与二次函数的极值[J]. 数学季刊, 2004, 19(4): 422-425.
[4]	李和成. 奇异二阶边值问题正解的存在性[J]. 数学季刊, 2004, 19(1): 101-106.
[5]	冯兆生, 费树岷. 一类周期系数的微分方程的周期解[J]. 数学季刊, 1997, 12(1): 43-46.