Higher-Order Dynamic Delay Differential Equations on Time Scales

被引:1
作者
Su, Hua [1 ]
Liu, Lishan [2 ]
Wang, Xinjun [3 ]
机构
[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[3] Shandong Univ, Sch Econ, Jinan 250014, Peoples R China
基金
中国国家自然科学基金;
关键词
BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; P-LAPLACIAN; EXISTENCE; SYSTEM;
D O I
10.1155/2012/939162
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with p-Laplacian operator are obtained.
引用
收藏
页数:19
相关论文
共 20 条
[1]  
Agarwal RP, 2001, NONLINEAR ANAL-THEOR, V44, P527
[2]   Solutions to second-order three-point problems on time scales [J].
Anderson, DR .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (08) :673-688
[3]   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
[4]   Three positive fixed points of nonlinear ordered Banach spaces [J].
Avery, RI ;
Peterson, AC .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) :313-322
[5]   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
[6]   BOUNDARY-VALUE-PROBLEMS FOR SINGULAR 2ND-ORDER FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].
ERBE, LH ;
KONG, QK .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 53 (03) :377-388
[7]  
Guo D., 1988, NONLINEAR PROBLEMS A
[8]   NONZERO SOLUTIONS OF BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER ORDINARY AND DELAY-DIFFERENTIAL EQUATIONS [J].
GUSTAFSON, GB ;
SCHMITT, K .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (01) :129-+
[9]   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
[10]   Multiple symmetric positive solutions for a second order boundary value problem [J].
Henderson, J ;
Thompson, HB .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (08) :2373-2379