Positive solutions for n-order m-point p-Laplacian operator singular boundary value problems

被引：12

作者：

Su, Hua ^{[1
]}

机构：

[1] Ocean Univ China, Dept Math, Qingdao 266071, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 199卷 / 01期

基金：

中国国家自然科学基金;

关键词：

p-Laplacian operator; n-order m-point singular boundary value problem; fixed-point index theory; positive solution;

D O I：

10.1016/j.amc.2007.09.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions for the nonlinear n-order m-point p-Laplacian operator singular boundary value problems. By using the method of de. ning operator by the reverse function of Green function and the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear third-order two-Point singular boundary value problem with p-Laplacian operator are obtained. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：122 / 132

页数：11

共 19 条

[1] Green's function for a third-order generalized right focal problem
Anderson, DR
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 288 (01) : 1 - 14
[2] SEMILINEAR ELLIPTIC PROBLEMS IN ANNULAR DOMAINS
BANDLE, C
KWONG, MK
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1989, 40 (02): : 245 - 257
[3] Deimling K., 1980, NONLINEAR FUNCTIONAL
[4] SINGULAR NONLINEAR BOUNDARY-VALUE PROBLEMS FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS
GATICA, JA
OLIKER, V
WALTMAN, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 79 (01) : 62 - 78
[5] Guo D., 1988, NONLINEAR PROBLEMS A
[6] Guo D. J., 1996, NONLINEAR INTEGRAL E
[7] [贺小明 He Xiaoming], 2003, [数学学报, Acta Mathematica Sinica], V46, P805
[8] A multiplicity result for a boundary value problem with infinitely many singularities
Kaufmann, ER
Kosmatov, N
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 269 (02) : 444 - 453
[9] Positive solutions of three-point boundary value problems for the one-dimensional p-Laplacian with infinitely many singularities
Liu, B
[J]. APPLIED MATHEMATICS LETTERS, 2004, 17 (06) : 655 - 661
[10] Positive solutions for (n-1, 1) three-point boundary value problems with coefficient that changes sign
Liu, YJ
Ge, WG
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 282 (02) : 816 - 825

← 1 2 →