Positive solutions for p-Laplacian functional dynamic equations on time scales

被引:13
作者
Song, Changxiu [1 ]
Xiao, Cuntao
机构
[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Peoples R China
[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
基金
中国国家自然科学基金;
关键词
time scale; boundary value problem; p-Laplacian functional dynamic equations; positive solutions; fixed point theorem;
D O I
10.1016/j.na.2006.02.036
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the authors study the boundary value problems for a p-Laplacian functional dynamic equation on a time scale, [GRAPHICS] By using the twin fixed point theorem, sufficient conditions are established for the existence of twin positive solutions. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1989 / 1998
页数:10
相关论文
共 11 条
[1]  
Agarwal R. P., 1999, RESULTS MATH, V35, P3, DOI [DOI 10.1007/BF03322019, 10.1007/BF03322019]
[2]   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
[3]   Twin solutions of boundary value problems for ordinary differential equations and finite difference equations [J].
Avery, RI ;
Chyan, CJ ;
Henderson, J .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) :695-704
[4]   Extremal solutions for the difference φ-Laplacian problem with nonlinear functional boundary conditions [J].
Cabada, A .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) :593-601
[5]   Double positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales [J].
He, ZM .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 182 (02) :304-315
[6]  
Hilger S., 1990, Results Math, V18, P18, DOI [10.1007/BF03323153, DOI 10.1007/BF03323153]
[7]  
Kaufmann E. R., 2003, ELECT J DIFFERENTIAL, V2003, P1
[8]   Positive solutions for a nonlinear functional dynamic equation on a time scale [J].
Kaufmann, ER ;
Raffoul, YN .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (07) :1267-1276
[9]  
Kelley W.G., 2001, Dynamic Equations on Time Scales: AnIntroduction With Applications, DOI DOI 10.1007/978-1-4612-0201-1
[10]   Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator [J].
Liu, YJ ;
Ge, WG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 278 (02) :551-561