Some new results on the existence of positive solutions for the one-dimensional p-Laplacian boundary value problems on time scales

被引：3
作者：
Du, Bo [1 ]
机构：
[1] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 01期
关键词：
Leggett-Williams fixed point theorem; Time scales; Positive solutions; FIXED-POINTS;
D O I：
10.1016/j.na.2007.12.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to using the Leggett-Williams fixed point theorem to derive some sufficient conditions for the existence of triple positive solutions to a type of p-Laplacian boundary value problems on time scales. The interesting point is that the nonlinear term f depends on the first-order delta derivative explicitly. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：385 / 392
页数：8
相关论文
共 15 条
  • [1] Agarwal RP, 2003, NONLINEAR ANALYSIS AND APPLICATIONS : TO V. LAKSHMIKANTHAM ON HIS 80TH BIRTHDAY, VOLS.1 AND 2, P1
  • [2] Multivalued essential maps of approximable and acyclic type
    Agarwal, RP
    O'Regan, D
    [J]. APPLIED MATHEMATICS LETTERS, 2000, 13 (01) : 7 - 11
  • [3] Agarwal RP, 2001, NONLINEAR ANAL-THEOR, V44, P527
  • [4] Existence of solutions for a one dimensional p-laplacian on time-scales
    Anderson, D
    Avery, R
    Henderson, J
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (10) : 889 - 896
  • [5] Integration on measure chains
    Aulbach, B
    Neidhart, L
    [J]. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS: NEW PROGRESS IN DIFFERENCE EQUATIONS, 2004, : 239 - 252
  • [6] Three positive fixed points of nonlinear ordered Banach spaces
    Avery, RI
    Peterson, AC
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) : 313 - 322
  • [7] Bohner M., 2003, Advances in Dynamic Equations on Time Scale, DOI DOI 10.1007/978-0-8176-8230-9
  • [8] Guo D., 1988, Nonlinear Problems in Abstract Cones
  • [9] MULTIPLE POSITIVE FIXED-POINTS OF NON-LINEAR OPERATORS ON ORDERED BANACH-SPACES
    LEGGETT, RW
    WILLIAMS, LR
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (04) : 673 - 688
  • [10] Peterson, 2001, DYNAMIC EQUATIONS TI, DOI [DOI 10.1007/978-1-4612-0201-1, 10.1007/978-1-4612-0201-1]
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