Periodic solutions of higher-order delay differential equations

被引：21
|
作者：
Liu, YJ [1 ]
Yang, PH
Ge, WG
机构：
[1] Hunan Inst Sci & Technol, Dept Math, Yueyang 414000, Hunan, Peoples R China
[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
[3] Mech Engn Coll, Dept Math, Shijiazhuang 050003, Hebei, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 01期
关键词：
periodic solution; first-order delay differential equation; coincidence degree theory;
D O I：
10.1016/j.na.2005.04.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove existence results for periodic solutions concerning the higher-order delay differential equations. Our method is based upon the coincidence degree theory of Mawhin. The results obtained are new. Examples are given to illustrate the main results. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：136 / 152
页数：17
相关论文
共 50 条
  • [1] On Periodic Solutions of Higher-Order Functional Differential Equations
    I Kiguradze
    N Partsvania
    B Půža
    [J]. Boundary Value Problems, 2008
  • [2] On periodic solutions of higher-order functional differential equations
    Kiguradze, I.
    Partsvania, N.
    Puza, B.
    [J]. BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
  • [3] Existence of periodic solutions of higher-order differential equations
    Wong, FH
    Lin, SW
    Lian, WC
    Yu, SL
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2005, 41 (2-3) : 215 - 225
  • [4] Positive Periodic Solutions for Singular Higher Order Delay Differential Equations
    Fanchao Kong
    Shiping Lu
    Zhiguo Luo
    [J]. Results in Mathematics, 2017, 72 : 71 - 86
  • [5] Positive Periodic Solutions for Singular Higher Order Delay Differential Equations
    Kong, Fanchao
    Lu, Shiping
    Luo, Zhiguo
    [J]. RESULTS IN MATHEMATICS, 2017, 72 (1-2) : 71 - 86
  • [6] Periodic solutions for higher-order neutral differential equations with several delays
    Cao, JD
    He, GM
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (10-11) : 1491 - 1503
  • [7] On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations
    Zong-Xuan Chen
    Shi-An Gao
    [J]. Journal of Inequalities and Applications, 2007
  • [8] Existence of positive periodic solutions for higher-order ordinary differential equations
    Li, Yongxiang
    Fan, Hongxia
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) : 1715 - 1722
  • [9] On complex oscillation property of solutions for higher-order periodic differential equations
    Chen, Zong-Xuan
    Gao, Shi-An
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007, 2007 (1)
  • [10] Nonoscillatory solutions for higher-order nonlinear neutral delay differential equations
    Liu, Zeqing
    Jia, Ming
    Ume, Jeong Sheok
    Kang, Shin Min
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
12345