POSITIVE SOLUTIONS FOR NONLINEAR nTH-ORDER m-POINT BOUNDARY VALUE PROBLEM WITH THE FIRST DERIVATIVE

被引：0
|
作者：
Qiu, Jiqing [1 ]
Jiang, Weihua [1 ]
Shi, Yan [2 ]
Xi, Duoming [3 ]
机构：
[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
[2] Tokai Univ, Sch Ind Engn, Kumamoto 8628652, Japan
[3] Hebei Univ Engn, Coll Sci, Handan 056038, Hebei, Peoples R China
来源：
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2009年 / 5卷 / 08期
关键词：
Green's function; Fixed point theorem; m-point boundary value problem; DERIVATIVES;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper gives the sufficient conditions of the existence of positive solutions for higher order multi-point boundary value problem with the first derivative. The arguments are based upon a specially constructed cone and the fixed point theory in cone. An example is given to demonstrate our result. Our result improves and generalizes some of the existing literature.
引用
收藏
页码：2405 / 2413
页数：9
相关论文
共 50 条
  • [1] Three positive solutions for a nonlinear nth-order m-point boundary value problem
    Guo, Yanping
    Ji, Yude
    Zhang, Jiehua
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (11) : 3485 - 3492
  • [2] POSITIVE SOLUTIONS OF nTH-ORDER m-POINT BOUNDARY VALUE PROBLEMS
    Karaca, I. Yaslan
    Fen, F. Tokmak
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (06) : 1429 - 1439
  • [3] Positive solutions of nth-order m-point impulsive boundary value problems
    Karaca, Ilkay Yaslan
    Fen, Fatma Tokmak
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2015, 22 (03) : 373 - 384
  • [4] Positive solutions of nth order m-point boundary value problem
    Yang, Jingbao
    Wei, Zhongli
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 715 - 720
  • [5] EXISTENCE OF POSITIVE SOLUTIONS FOR A NONLINEAR nTH-ORDER m-POINT p-LAPLACIAN IMPULSIVE BOUNDARY VALUE PROBLEM
    Karaca, Ilkay Yaslan
    Fen, Fatma Tokmak
    [J]. MATHEMATICA SLOVACA, 2017, 67 (02) : 467 - 482
  • [6] POSITIVE SOLUTIONS FOR A NONLINEAR nTH-ORDER m-POINT BOUNDARY VALUE PROBLEMS WITH COEFFICIENT THAT CHANGES SIGN
    Guo, Yanping
    Ji, Yude
    Qiu, Jiqing
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2010, 6 (02): : 725 - 732
  • [7] EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS OF nth-ORDER m-POINT BOUNDARY VALUE PROBLEMS
    Liang, Sihua
    Zhang, Jihui
    [J]. MATHEMATICA BOHEMICA, 2010, 135 (01): : 15 - 28
  • [8] Existence of countably many positive solutions of nth-order m-point boundary value problems
    Liang, Sihua
    Zhang, Jihui
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (02) : 527 - 537
  • [9] Multiple positive solutions for nth-order m-point boundary value problems with all derivatives
    Jiang, Weihua
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (05) : 1064 - 1072
  • [10] Existence of Infinite Multiple Positive Solutions for Nth-order M-point Boundary Value Problems
    Gao, Yunzhu
    Zhang, Jibing
    Feng, Yuqiang
    [J]. PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, : 26 - 30
12345