非线性m点边值问题正解的新结果

New results for positive solutions of nonlinear $m$-point boundary value problem

作者：达佳丽(西北师范大学知行学院)；寇磊(西北师范大学知行学院)；王婷(西北师范大学知行学院)

Author：Da Jia-Li(Zhixing College of Northwest Normal University)；Kou Lei(Zhixing College of Northwest Normal University)；Wang Ting(Zhixing College of Northwest Normal University)

收稿日期：2018-07-11 年卷（期）页码：2019,56(3):419-422

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：非线性m点边值问题；正解；Leray-Schauder不动点定理

Key words：Nonlinear $m$-point boundary value problem; Positive solution; Leray-Schauder fixed point theorem

基金项目：西北师范大学行知学院2017年校级科研项目（2017001KA）；甘肃省高等学校科研项目（2015B-203）

中文摘要

本文研究非线性$m$点边值问题正解的存在性.利用Leary-Schauder不动点定理，本文获得正解存在性的条件. 这个结果弱化了已有的相关结果.

英文摘要

In this paper, we investigate the existence of positive solutions for second-order nonlinear $m$-point boundary value problems. By using the Leray-Schauder fixed point theorem, we give some sufficient conditions for the existence of positive solutions, which improve the known results.

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论文摘要

非线性m点边值问题正解的新结果

New results for positive solutions of nonlinear $m$-point boundary value problem