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

WU Hong-ping

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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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)；

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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

Cite this article

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

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