非线性奇异二阶三点边值问题的对称正解

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

数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 358-365.doi: 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

College of Mathematics and Statistics, Northwest Normal University

收稿日期:2014-03-13 出版日期:2015-09-30 发布日期:2020-11-20
作者简介:WU Hong-ping(1970-), female, native of Qingyang, Gansu, an associate professor of Northwest Normal University, engages in nonlinear analysis.
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)；

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

College of Mathematics and Statistics, Northwest Normal University

Received:2014-03-13 Online:2015-09-30 Published:2020-11-20
About author:WU Hong-ping(1970-), female, native of Qingyang, Gansu, an associate professor of Northwest Normal University, engages in nonlinear analysis.
Supported by:
Supported by the National Natural Science Foundation of China(11261053)； Supported by the Natural Science Foundation of Gansu Province of China(1308RJZA125)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

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.

WU Hong-ping. Symmetric Positive Solutions of Nonlinear Singular Second-order Three-point Boundary Value Problem[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(3): 358-365.

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非线性奇异二阶三点边值问题的对称正解

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

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