Positive solutions of nonlinear functional difference equations

被引：25

作者：

Eloe, PW ^{[1
]}

Raffoul, Y

Reid, DT

Yin, KC

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

[2] Valdosta State Univ, Dept Math & Comp Sci, Valdosta, GA 31698 USA

[3] LaGrange Coll, Dept Math, La Grange, GA 30240 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 42卷 / 3-5期

关键词：

functional difference equation; nonlinear eigenvalue problem; positive solutions; fixed points;

D O I：

10.1016/S0898-1221(01)00183-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply a cone theoretic fixed-point theorem and obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider analogues of sublinear or superlinear growth in the nonlinear terms. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：639 / 646

页数：8

共 16 条

[1]

BAINOV D, 1994, GLAS MAT, V29, P275

[2]

Davis JF, 2000, HOUSTON J MATH, V26, P693

[3]

ELOE PW, 2000, ELECT J DIFFERENTIAL, P1

[4] ON THE EXISTENCE OF POSITIVE SOLUTIONS OF ORDINARY DIFFERENTIAL-EQUATIONS [J].