非线性奇异二阶三点边值问题的对称正解

吴红萍

doi:10.13371/j.cnki.chin.q.j.m.2015.03.006

数学季刊 >

2015 , Vol. 30 >Issue 3: 358 - 365

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.03.006

非线性奇异二阶三点边值问题的对称正解

展开

College of Mathematics and Statistics, Northwest Normal University

WU Hong-ping(1970-), female, native of Qingyang, Gansu, an associate professor of Northwest Normal University, engages in nonlinear analysis.

收稿日期: 2014-03-13

网络出版日期: 2020-11-20

基金资助

Supported by the National Natural Science Foundation of China(11261053)； Supported by the Natural Science Foundation of Gansu Province of China(1308RJZA125)；

收起

Symmetric Positive Solutions of Nonlinear Singular Second-order Three-point Boundary Value Problem

Expand

College of Mathematics and Statistics, Northwest Normal University

WU Hong-ping(1970-), female, native of Qingyang, Gansu, an associate professor of Northwest Normal University, engages in nonlinear analysis.

Received date: 2014-03-13

Online published: 2020-11-20

Supported by

Supported by the National Natural Science Foundation of China(11261053)； Supported by the Natural Science Foundation of Gansu Province of China(1308RJZA125)；

Fold

摘要

In this paper, the second-order three-point boundary value problem {u"（t）+λa（t）f（t,u（t））=0,0<t<1,u（t）=u（1-t）,u′（0）-u′（1）=u（1/2）is studied,where λ is a positive parameter,under various assumption on a and f,we establish intervals of the parameter λ,which yield the existence of positive solution,our proof based on Krasnosel’skii fixed-point theorem in cone.

关键词： three-point boundary value problem; fuxed-point theorem; singular positive; solutions

本文引用格式

吴红萍 . 非线性奇异二阶三点边值问题的对称正解[J]. 数学季刊, 2015 , 30(3) : 358 -365 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.03.006

Abstract

Key words： three-point boundary value problem; fuxed-point theorem; singular positive; solutions

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract