Multiple results of p-Laplacian dynamic equations on time scales

被引：10

作者：

Geng, Fengjie ^{[1
]}

Zhu, Deming ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 193卷 / 02期

基金：

中国国家自然科学基金;

关键词：

time scales; jump operator; three-point boundary value problems; p-Laplacian dynamic equations; fixed point theorem;

D O I：

10.1016/j.amc.2007.03.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new fixed point theorem introduced by Avery and Peterson and another fixed point theorem are applied to boundary value problems for p-Laplacian dynamic equations on time scales. By imposing some growth conditions on the nonlinearity f, we establish the existence results of at least three positive solutions. As an application, some examples are included to illustrate the main results. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：311 / 320

页数：10

共 23 条

[1] Dynamic equations on time scales: a survey [J].

Agarwal, R ;

Bohner, M ;

O'Regan, D ;

Peterson, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :1-26

[2]

Agarwal RP, 2000, APPL MATH LETT, V13, P7, DOI 10.1016/S0893-9659(99)00200-1

[3] Existence of solutions for a one dimensional p-laplacian on time-scales [J].

Anderson, D ;

Avery, R ;

Henderson, J .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (10) :889-896

[4] Solutions to second-order three-point problems on time scales [J].

Anderson, DR .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (08) :673-688

[5]

[Anonymous], 1996, DYNAMIC SYSTEMS MEAS

[6]

[Anonymous], ADV DYNAMIC EQUATION

[7] On Green's functions and positive solutions for boundary value problems on time scales [J].

Atici, FM ;

Guseinov, GS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :75-99

[8] Existence of three positive pseudo-symmetric solutions for a one dimensional p-Laplacian [J].

Avery, R ;

Henderson, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (02) :395-404

[9] Three positive fixed points of nonlinear ordered Banach spaces [J].

Avery, RI ;

Peterson, AC .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) :313-322

[10] Existence of three positive solutions to a second-order boundary value problem on a measure chain [J].

Avery, RI ;

Anderson, DR .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :65-73

← 1 2 3 →