The Clark dual and multiple periodic solutions of delay differential equations

被引：0
|
作者：
Huafeng Xiao
Jianshe Yu
Zhiming Guo
机构：
[1] Guangzhou University,College of Mathematics and Information Sciences
来源：
Boundary Value Problems | / 2011卷
关键词：
periodic solution; Clark dual; Morse-Ekeland index; delay differential equation; asymptotic linearity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the multiplicity of periodic solutions of a class of non-autonomous delay differential equations. By making full use of the Clark dual, the dual variational functional is considered. Some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions.
引用
收藏
相关论文
共 50 条
  • [1] The Clark dual and multiple periodic solutions of delay differential equations
    Xiao, Huafeng
    Yu, Jianshe
    Guo, Zhiming
    BOUNDARY VALUE PROBLEMS, 2011, : 1 - 11
  • [2] Multiple Periodic Solutions of Nonautonomous Delay Differential Equations
    Li, Lin
    Ge, Weigao
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (10):
  • [3] The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations
    Xiao, Huafeng
    Zheng, Bo
    JOURNAL OF APPLIED MATHEMATICS, 2011,
  • [4] Oscillatory periodic solutions of differential-delay equations with multiple lags
    GE WeigaoDepartment of Applied Mathematics
    Science Bulletin, 1997, (06) : 444 - 447
  • [5] Hamiltonian symmetric groups and multiple periodic solutions of differential delay equations
    Li, JB
    He, XZ
    Liu, ZG
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (04) : 457 - 474
  • [6] Multiple periodic solutions for second order impulsive delay differential equations
    Dib, Fatima
    Daoudi-Merzagui, Naima
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2019, 9 (03) : 298 - 312
  • [7] Oscillatory periodic solutions of differential-delay equations with multiple lags
    Ge, WG
    CHINESE SCIENCE BULLETIN, 1997, 42 (06): : 444 - 447
  • [8] Variational Approaches for the Existence of Multiple Periodic Solutions of Differential Delay Equations
    Cheng, Rong
    Hu, Jianhua
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [9] Hamiltonian symmetric groups and multiple periodic solutions of differential delay equations
    Kunming Univ of Science and, Technology, Yuannan, China
    Nonlinear Anal Theory Methods Appl, 4 (457-474):
  • [10] On the Number of Periodic Solutions of Delay Differential Equations
    Han, Maoan
    Xu, Bing
    Tian, Huanhuan
    Bai, Yuzhen
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (04):
12345