无穷区间上具积分边值条件的二阶非线性奇异微分方程组正解存在性

doi:10.13371/j.cnki.chin.q.j.m.2014.01.008

数学季刊 ›› 2014, Vol. 29 ›› Issue (1): 55-64.doi: 10.13371/j.cnki.chin.q.j.m.2014.01.008

无穷区间上具积分边值条件的二阶非线性奇异微分方程组正解存在性

School of Mathematics and Statistics, Suzhou University

收稿日期:2012-07-14 出版日期:2014-03-30 发布日期:2022-12-13
作者简介:LI Yao-hong(1978-), male, native of Wuhan, Hubei, an associate professor of Suzhou University, M.S.D., engages in nonlinear functional analysis and application.
基金资助:
Supported by the NSF of Anhui Provincial Education Department (KJ2012A265, KJ2012B187)

Existence of Positive Solutions for Systems of Second-order Nonlinear Singular Differential Equations with Integral Boundary Conditions on Infinite Interval

School of Mathematics and Statistics, Suzhou University

Received:2012-07-14 Online:2014-03-30 Published:2022-12-13
About author:LI Yao-hong(1978-), male, native of Wuhan, Hubei, an associate professor of Suzhou University, M.S.D., engages in nonlinear functional analysis and application.
Supported by:
Supported by the NSF of Anhui Provincial Education Department (KJ2012A265, KJ2012B187)

摘要/Abstract

摘要： By using cone theory and the Monch fixed theorem combined with a monotone iterative technique, we investigate the existence of positive solutions for systems of secondorder nonlinear singular differential equations with integral boundary conditions on infinite interval and establish the existence theorem of positive solutions and iterative sequence for approximating the positive solutions. The results in this paper improve some known results.

关键词: boundary value problems, positive solutions, integral boundary conditions, the Monch fixed point theorem

Abstract: By using cone theory and the Monch fixed theorem combined with a monotone iterative technique, we investigate the existence of positive solutions for systems of secondorder nonlinear singular differential equations with integral boundary conditions on infinite interval and establish the existence theorem of positive solutions and iterative sequence for approximating the positive solutions. The results in this paper improve some known results.

Key words: boundary value problems, positive solutions, integral boundary conditions, the Monch fixed point theorem

中图分类号:

O177.91

李耀红. 无穷区间上具积分边值条件的二阶非线性奇异微分方程组正解存在性[J]. 数学季刊, 2014, 29(1): 55-64.

LI Yao-hong. Existence of Positive Solutions for Systems of Second-order Nonlinear Singular Differential Equations with Integral Boundary Conditions on Infinite Interval[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 55-64.

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无穷区间上具积分边值条件的二阶非线性奇异微分方程组正解存在性

Existence of Positive Solutions for Systems of Second-order Nonlinear Singular Differential Equations with Integral Boundary Conditions on Infinite Interval

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