POSITIVE SOLUTIONS TO GENERALIZED SECOND-ORDER THREE-POINT INTEGRAL BOUNDARY-VALUE PROBLEMS

被引：0
|
作者：
Chasreechai, Saowaluk [1 ]
Tariboon, Jessada [1 ,2 ]
机构：
[1] King Mongkuts Univ Technol N Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年
关键词：
Positive solution; three-point boundary value problem; fixed point theorem; cone; MULTIPLICITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, by using Krasnoselskii's fixed point theorem, we obtain single and multiple positive solutions to the nonlinear second-order three-point integral boundary value problem u '' (t) + a(t) f(u(t)) = 0, 0 < t < T, u(0) = beta integral(n)(0) u(s)ds, alpha integral(n)(0) u(s)ds = u(T), where 0 < eta < T, 0 < alpha < 2T/eta(2), 0 < beta < 2T-alpha eta(2)/eta(2T-eta) are given constants. As an application, we give some examples that illustrate our results.
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页数：14
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