Positive solutions for nonlinear discrete periodic boundary value problems

被引：17
|
作者：
Ma, Ruyun [1 ]
Ma, Huili [2 ]
机构：
[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
[2] NW Normal Univ, Coll Econ & Management, Lanzhou 730070, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 01期
关键词：
Periodic boundary value problem; Positive solution; Bifurcation; Green's function; DIFFERENTIAL-EQUATIONS; 2ND-ORDER ORDINARY; EXISTENCE; BIFURCATION;
D O I：
10.1016/j.camwa.2009.07.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned with the nonlinear discrete periodic boundary value problem -Delta[p(t - 1)Delta u(t - 1)] + q(t)u(t) = rg(t)f(u(t)), t is an element of [1, T](z), (P) u(0) = u(T), p(0)Delta u(0) = p(T)Delta u(T), where r is a positive parameter. Optimal interval will be given to the parameter r to ensure that (P) has at least one positive solution. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：136 / 141
页数：6
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