Positive solutions of singular p-Laplacian BVPs with sign changing nonlinearity on time scales

被引：18

作者：

Su, You-Hui ^{[1
,2
]}

Li, Wan-Tong ^{[1
]}

Sun, Hong-Rui ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

time scales; boundary value problem; positive solution; p-Laplacian; upper and lower solutions;

D O I：

10.1016/j.mcm.2007.11.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We investigate a class of singular m-point p-Laplacian boundary value problem on time scales with the sign changing nonlinearity. By using the well-known Schauder fixed point theorem and upper and lower solutions method, some new existence criteria for positive solutions of the boundary value problem are presented. These results are new even for the corresponding differential (T = R) and difference equations (T = Z), as well as general time scales setting. As an application, an example is given to illustrate the results. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：845 / 858

页数：14

共 28 条

[1]

Agarwal RP, 2003, NONLINEAR ANALYSIS AND APPLICATIONS : TO V. LAKSHMIKANTHAM ON HIS 80TH BIRTHDAY, VOLS.1 AND 2, P1

[2] Existence theorems for the one-dimensional singular p -: Laplacian equation with sign changing nonlinearities [J].

Agarwal, RP ;

Lü, HS ;

O'Regan, D .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (01) :15-38

[3]

AGARWAL RP, 2004, PURE APPL MATH SERIE, V267

[4] 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

[5]

[Anonymous], 1996, DYNAMIC SYSTEMS MEAS

[6]

[Anonymous], 2008, TAINWANESE J MATH, V12, P93

[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] Integration on measure chains [J].

Aulbach, B ;

Neidhart, L .

PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS: NEW PROGRESS IN DIFFERENCE EQUATIONS, 2004, :239-252

[9]

BOHNER M., 2001, Dynamic equation on time scales. An introduction with applications

[10]

Bohner M., 2003, Advances in Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-0-8176-8230-9

← 1 2 3 →