Existence of two positive solutions of a singular nonlinear periodic boundary value problem

被引:9
|
作者
Rachunková, I [1 ]
机构
[1] Palacky Univ, Dept Math, Olomouc 77900, Czech Republic
关键词
D O I
10.1016/S0377-0427(99)00241-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the singular periodic boundary value problem for the second order scalar differential equation x " = f(t,x,x'). Under the assumption that f has the repulsive singularity at x = 0(+), we present sufficient conditions for the existence of at least two different positive solutions of the problem. We use the lower and upper solutions method here. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码:27 / 34
页数:8
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