On the existence of positive solutions of p-Laplacian difference equations

被引：64

作者：

He, ZM ^{[1
]}

机构：

[1] Cent S Univ, Dept Appl Math, Changsha 410083, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 161卷 / 01期

关键词：

boundary value problem; positive solution; difference equation; fixed point theorem; cone;

D O I：

10.1016/j.cam.2003.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by means of fixed point theorem in a cone, the existence of positive solutions of p-Laplacian difference equations is considered. (C) 2003 Elsevier B.V. All rights reserved.

引用

收藏

页码：193 / 201

页数：9

相关论文

共 12 条

[1] A fixed-point approach for nonlinear discrete boundary value problems
Agarwal, RP
O'Regan, D
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (10-12) : 115 - 121
[2] Positive solutions and nonlinear eigenvalue problems for third-order difference equations
Agarwal, RP
Henderson, J
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (10-12) : 347 - 355
[3] Existence and comparison results for difference φ-Laplacian boundary value problems with lower and upper solutions in reverse order
Cabada, A
Otero-Espinar, V
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 267 (02) : 501 - 521
[4] Extremal solutions for the difference φ-Laplacian problem with nonlinear functional boundary conditions
Cabada, A
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) : 593 - 601
[5] Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7
[6] A generalization of concavity for finite differences
Eloe, PW
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (10-12) : 109 - 113
[7] Positive solutions for nonlinear eigenvalue problems
Henderson, J
Wang, HY
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 208 (01) : 252 - 259
[8] HENDERSON J., 1997, Nonlinear Stud., V4, P29
[9] Krasnoselskii M. A., 1964, Positive Solutions of Operator Equations
[10] Merdivenci F., 1995, J DIFFERENCE EQNS AP, V1, P263