EXISTENCE RESULTS ON POSITIVE PERIODIC SOLUTIONS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

被引:2
|
作者
Liu, Yuji [1 ]
机构
[1] Guangdong Univ Business Studies, Dept Math, Guangzhou 510320, Guangdong, Peoples R China
关键词
Impulse; first order functional differential equation; impulsive biological model; positive T-periodic solution; fixed point theorem; BOUNDARY-VALUE-PROBLEMS; PREDATOR-PREY MODEL; GLOBAL ATTRACTIVITY; MULTIPLICITY;
D O I
10.3336/gm.46.1.13
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A class of first order nonlinear functional differential equations with impulses is studied. It is shown that there exist one or two positive T-periodic solutions under certain assumptions, and no positive T-periodic solution under some other assumptions. Applications to some impulsive biological models and an example, which can not be covered by known results, are given to illustrate the main results.
引用
收藏
页码:149 / 165
页数:17
相关论文
共 50 条
  • [1] Existence of positive periodic solutions of impulsive functional differential equations with two parameters
    Yan, Jurang
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 854 - 868
  • [2] Existence of Positive Periodic Solutions to Impulsive Functional Differential Equations with Double Delays
    Zhu, Xiuli
    Xu, Zhonghai
    [J]. 2015 2ND INTERNATIONAL CONFERENCE ON MECHATRONIC SYSTEMS AND MATERIALS APPLICATION (ICMSMA 2015), 2015, : 155 - 158
  • [3] Positive periodic solutions of impulsive functional differential equations
    Liu Y.
    Xia J.
    Ge W.
    [J]. Journal of Applied Mathematics and Computing, 2005, 19 (1-2) : 261 - 280
  • [4] FURTHER RESULTS ON POSITIVE PERIODIC SOLUTIONS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS
    Liu, Yuji
    [J]. ANZIAM JOURNAL, 2009, 50 (04): : 513 - 533
  • [5] Existence of positive periodic solutions of functional differential equations
    Hanustiakova, Lubica
    Olach, Rudolf
    Svanova, Miriam
    [J]. CDDEA '06: PROCEEDINGS OF THE CONFERENCE ON DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2006, 2007, 38 : 77 - 88
  • [6] On positive periodic solutions of nonlinear impulsive functional differential equations
    Kocherha, O. I.
    Nenya, O. I.
    Tkachenko, V. I.
    [J]. NONLINEAR OSCILLATIONS, 2008, 11 (04): : 527 - 538
  • [7] POSITIVE PERIODIC SOLUTIONS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH A PARAMETER
    Wang, Yanqin
    Tu, Qingwei
    Wang, Qiang
    Hu, Chao
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2011, 80 (01): : 31 - 38
  • [8] Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations
    Liu, Junwei
    Zhang, Chuanyi
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [9] Existence of Periodic Solutions for A Class of Impulsive Delay Functional Differential Equations
    Chen Min
    Hu Lanli
    [J]. AGRO FOOD INDUSTRY HI-TECH, 2017, 28 (03): : 902 - 906
  • [10] NEW EXISTENCE RESULTS OF ANTI-PERIODIC SOLUTIONS OF NONLINEAR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
    Liu, Yuji
    Liu, Xingyuan
    [J]. MATHEMATICA BOHEMICA, 2013, 138 (04): : 337 - 360