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

李耀红

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

数学季刊 >

2014 , Vol. 29 >Issue 1: 55 - 64

DOI: https://doi.org/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

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School of Mathematics and Statistics, Suzhou University

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.

收稿日期: 2012-07-14

网络出版日期: 2022-12-13

基金资助

Supported by the NSF of Anhui Provincial Education Department (KJ2012A265, KJ2012B187)

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

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School of Mathematics and Statistics, Suzhou University

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.

Received date: 2012-07-14

Online published: 2022-12-13

Supported by

Supported by the NSF of Anhui Provincial Education Department (KJ2012A265, KJ2012B187)

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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

本文引用格式

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

Abstract

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

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