Existence of positive solutions for p-Laplacian impulsive boundary value problems on time scales

被引：2
作者：
Tokmak, Fatma [1 ,2 ]
Karaca, Ilkay Y. [1 ]
机构：
[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey
[2] Gazi Univ, Dept Math, TR-06500 Ankara, Turkey
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
multiple positive solutions; double fixed point theorem; fixed point index; time scales; impulsive boundary value problems; DYNAMIC EQUATIONS;
D O I：
10.1186/1029-242X-2014-196
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using fixed point index theory and a double fixed point theorem, we study the existence of many positive solutions for a class of second-order p-Laplacian boundary value problems with impulse on time scales. An example which supports our theoretical results is also indicated.
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页数：14
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共 22 条
  • [1] [Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892
  • [2] [Anonymous], 2006, Contemporary Mathematics and its Applications
  • [3] [Anonymous], 2010, Principles of Discontinuous Dynamical Systems, DOI DOI 10.1007/978-1-4419-6581-3
  • [4] Avery R.I., 2001, Comm. Appl. Nonlinear Anal, V8, P27
  • [5] Extremal solutions of second order impulsive dynamic equations on time scales
    Benchohra, M.
    Ntouyas, S. K.
    Ouahab, A.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 425 - 434
  • [6] Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
  • [7] Bohner M., 2003, Advances in Dynamic Equations on Time Scales, DOI DOI 10.1007/978-0-8176-8230-9
  • [8] Triple positive solutions of boundary value problems for p-Laplacian impulsive dynamic equations on time scales
    Chen, Haibo
    Wang, Haihua
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (9-10) : 917 - 924
  • [9] Double positive solutions of boundary value problems for p-Laplacian impulsive functional dynamic equations on time scales
    Chen, Haibo
    Wang, Haihua
    Zhang, Qi
    Zhou, Tiejun
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (10) : 1473 - 1480
  • [10] Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian
    Feng, Meiqiang
    Du, Bo
    Ge, Weigao
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3119 - 3126
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