Variational approach to second-order impulsive dynamic equations on time scales

被引：3
|
作者：
Otero-Espinar, Victoria [1 ]
Pernas-Castano, Tania [1 ,2 ]
机构：
[1] Univ Santiago de Compostela, Dept Anal Matemat, Santiago De Compostela 15782, Galicia, Spain
[2] UCM, UC3M, UAM, Inst Ciencias Matemat,CSIC, Madrid 28049, Spain
来源：
BOUNDARY VALUE PROBLEMS | 2013年
关键词：
impulsive dynamic equations; second-order boundary value problem; variational techniques; critical point theory; time scales; MULTIPLE POSITIVE SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; DEPENDENCE; EXISTENCE; SYSTEMS;
D O I：
10.1186/1687-2770-2013-119
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to a nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also, we are interested in the solutions of the impulsive nonlinear problem with linear derivative dependence satisfying an impulsive condition.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] Variational approach to second-order impulsive dynamic equations on time scales
    Victoria Otero-Espinar
    Tania Pernas-Castaño
    Boundary Value Problems, 2013
  • [2] OSCILLATION OF SECOND-ORDER NONLINEAR IMPULSIVE DYNAMIC EQUATIONS ON TIME SCALES
    Huang, Mugen
    Feng, Weizhen
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
  • [3] VARIATIONAL APPROACH TO A CLASS OF NONAUTONOMOUS SECOND-ORDER SYSTEMS ON TIME SCALES WITH IMPULSIVE EFFECTS
    Zhou, Jianwen
    Li, Yongkun
    Wang, Yanning
    TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (05): : 1575 - 1596
  • [4] OSCILLATION OF SECOND-ORDER NONLINEAR IMPULSIVE DYNAMIC EQUATIONS WITH A DAMPING TERM ON TIME SCALES
    Agwa, H. A.
    Khodier, A. M. M.
    Atteya, H. M.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2019, 88 (01): : 23 - 38
  • [5] Homoclinic orbits for a class of second order dynamic equations on time scales via variational methods
    Su, You-Hui
    Yan, Xingjie
    Jiang, Daihong
    Liu, Fenghua
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [6] Eigenvalue problems for second-order nonlinear dynamic equations on time scales
    Li, WT
    Liu, XL
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (02) : 578 - 592
  • [7] Extremal solutions of second order impulsive dynamic equations on time scales
    Benchohra, M.
    Ntouyas, S. K.
    Ouahab, A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 425 - 434
  • [8] Nonlinear oscillation of second-order dynamic equations on time scales
    Anderson, Douglas R.
    Zafer, A.
    APPLIED MATHEMATICS LETTERS, 2009, 22 (10) : 1591 - 1597
  • [9] Existence of Weak Solutions for Second-Order Boundary Value Problem of Impulsive Dynamic Equations on Time Scales
    Hongbo Duan
    Hui Fang
    Advances in Difference Equations, 2009
  • [10] OSCILLATION FOR NONLINEAR SECOND-ORDER DYNAMIC EQUATIONS ON TIME SCALES
    Xu Yancong (College of Science
    Annals of Applied Mathematics, 2008, (04) : 457 - 469
12345