THE EXISTENCE OF POSITIVE SOLUTIONS FOR THE SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM

被引:5
作者
Niu, Yanmin [1 ]
Yan, Baoqiang [1 ]
机构
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
关键词
Singular differential equation; two-point boundary value problem; fixed point theorem; positive solution; MONGE-AMPERE EQUATIONS; CLASSICAL-SOLUTIONS; CONVEX SOLUTIONS; SYSTEMS;
D O I
10.12775/TMNA.2017.004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we consider the following boundary value problem: { ((-u'(t))(n))' = nt (n-1) f(u(t)) for 0 < t < 1, u'(0) = 0, u(1) = 0, where n > 1. Using the fixed point theory on a cone and approximation technique, we obtain the existence of positive solutions in which f may be singular at u = 0 or f may be sign-changing.
引用
收藏
页码:665 / 682
页数:18
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