Existence and iteration of monotone positive solutions for multipoint boundary value problem with p-Laplacian operator

被引:95
作者
Ma, DX [1 ]
Du, ZJ
Ge, WG
机构
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Shandong, Peoples R China
关键词
iteration; monotone positive solution; multipoint boundary value problem; completely continuous; p-Laplacian;
D O I
10.1016/j.camwa.2005.04.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper, we obtain the existence of monotone positive solutions and establish a corresponding iterative scheme for the following multipoint boundary value problem with p-Laplacian operator, [GRAPHICS] The main tool is the monotone iterative technique. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:729 / 739
页数:11
相关论文
共 11 条
[1]   FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].
AMANN, H .
SIAM REVIEW, 1976, 18 (04) :620-709
[2]  
FANG W, 1997, NONLINEAR ANAL, V30, P5369
[3]   Solvability of m-point boundary value problems with nonlinear growth [J].
Feng, W ;
Webb, JRL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (02) :467-480
[4]   Three positive solutions for the one-dimensional p-Laplacian [J].
Guo, YP ;
Ge, WG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (02) :491-508
[5]   A generalized multi-point boundary value problem for second order ordinary differential equations [J].
Gupta, CP .
APPLIED MATHEMATICS AND COMPUTATION, 1998, 89 (1-3) :133-146
[6]   Twin positive solutions for the one-dimensional p-Laplacian boundary value problems [J].
He, XM ;
Ge, WG .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (07) :975-984
[7]  
ILIN VA, 1987, DIFF EQUAT+, V23, P979
[8]   Multiple positive solutions for the one-dimensional p-Laplacian [J].
Kong, LB ;
Wang, JY .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (08) :1327-1333
[9]   Solvability of multipoint boundary value problems at resonance for higher-order ordinary differential equations [J].
Lin, XJ ;
Du, ZJ ;
Ge, WG .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) :1-11
[10]   Existence of solutions of nonlinear m-point boundary-value problems [J].
Ma, RY ;
Castaneda, N .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 256 (02) :556-567