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.

引用

页码：136 / 141

页数：6

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