EXISTENCE OF POSITIVE SOLUTIONS FOR A NONLINEAR nTH-ORDER m-POINT p-LAPLACIAN IMPULSIVE BOUNDARY VALUE PROBLEM

被引：3
|
作者：
Karaca, Ilkay Yaslan [1 ]
Fen, Fatma Tokmak [2 ]
机构：
[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey
[2] Gazi Univ, Dept Math, TR-06500 Ankara, Turkey
来源：
MATHEMATICA SLOVACA | 2017年 / 67卷 / 02期
关键词：
Green's function; impulsive boundary value problems; fixed-point theorem; positive solutions; p-Laplacian; DIFFERENTIAL-EQUATIONS;
D O I：
10.1515/ms-2016-0282
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, six functionals fixed point theorem is used to investigate the existence of at least three positive solutions for a nonlinear nth-order m-point p-Laplacian impulsive boundary value problem. As an application, we give an example to demonstrate our result. (C) 2017 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：467 / 482
页数：16
相关论文
共 50 条
  • [1] Existence of multiple positive solutions for nth-order p-Laplacian m-point singular boundary value problems
    Zhu Y.
    Zhu J.
    [J]. Journal of Applied Mathematics and Computing, 2010, 34 (1-2) : 393 - 405
  • [2] 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
  • [3] 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
  • [4] POSITIVE SOLUTIONS FOR NONLINEAR nTH-ORDER m-POINT BOUNDARY VALUE PROBLEM WITH THE FIRST DERIVATIVE
    Qiu, Jiqing
    Jiang, Weihua
    Shi, Yan
    Xi, Duoming
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2009, 5 (08): : 2405 - 2413
  • [5] 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
  • [6] 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
  • [7] 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
  • [8] On the existence of solutions of p-Laplacian m-point boundary value problem at resonance
    Zhu, Yanling
    Wang, Kai
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (04) : 1557 - 1564
  • [9] 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
  • [10] Existence of positive solutions for nth-order p-Laplacian singular sublinear boundary value problems
    Wei, Zhongli
    [J]. APPLIED MATHEMATICS LETTERS, 2014, 36 : 25 - 30
12345