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论文摘要

一类带非线性边界条件的奇异二阶常微分方程正解的存在性

Existence of positive solutions for a class of singular second-order ordinary differential equations with nonlinear boundary conditions

作者:苏肖肖(西北师范大学数学与统计学院)

Author:SU Xiao-Xiao(College of Mathematics and Statistics, Northwest Normal University)

收稿日期:2018-12-21          年卷(期)页码:2019,56(6):1019-1025

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:非线性边界条件; 奇异性; Green函数; 正解; 半正问题

Key words:Nonlinear boundary condition; Singular; Green's function; Positive solution; Semi-positive problem

基金项目:国家自然科学基金(11671322)

中文摘要

本文研究了带非线性边界条件的一类奇异二阶常微分方程边值问题正解的存在性,主要结果的证明基于Krasnoselskii不动点定理.

英文摘要

In this paper, we study the existence of positive solutions for a class of singular second-order ordinary differential equations with nonlinear boundary conditions. The proof of main result is based on Krasnoselskii fixed point theorem.

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