Existence of solutions of diffusive logistic equations with impulses and time delay and stability of the steady-states

被引:0
|
作者
Widjaja, J [1 ]
Bottema, MJ [1 ]
机构
[1] Flinders Univ S Australia, Sch Informat & Engn, Adelaide, SA 5001, Australia
来源
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2005年 / 12卷 / 05期
关键词
delay; impulse; logistic; diffusion; upper and lower solutions;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of solution of diffusive logistic equation with impulses and time delay is proved using upper and lower solutions. The timing of impulses in this system are fixed. Conditions are found under which the zero function and the steady-state solution to the problem without impulses are attractors.
引用
收藏
页码:563 / 578
页数:16
相关论文
共 50 条
  • [21] Stability of Solutions to the Logistic Equation with Delay, Diffusion, and Nonclassical Boundary Conditions
    Kashchenko, I. S.
    Kashchenko, S. A.
    Maslenikov, I. N.
    DOKLADY MATHEMATICS, 2024, 109 (03) : 275 - 281
  • [22] Explicit conditions for stability of nonlinear scalar delay differential equations with impulses
    Yu, JS
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (01) : 53 - 67
  • [23] Existence of periodic solutions for Lienard equations with finite delay
    WEI Junjie and HUANG QichangDepartment of Mathematics
    ChineseScienceBulletin, 1997, (14) : 1145 - 1149
  • [24] Existence of solutions for delay evolution equations with nonlocal conditions
    Zhang, Xuping
    Li, Yongxiang
    OPEN MATHEMATICS, 2017, 15 : 616 - 627
  • [25] EXISTENCE OF NONOSCILLATORY SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS
    Ilavska, Iveta
    Najmanova, Anna
    Olach, Rudolf
    APLIMAT 2009: 8TH INTERNATIONAL CONFERENCE, PROCEEDINGS, 2009, : 159 - 164
  • [26] Existence of periodic solutions for Lienard equations with finite delay
    Wei, JJ
    Huang, QC
    CHINESE SCIENCE BULLETIN, 1997, 42 (14): : 1145 - 1149
  • [27] Stability of neural networks with delay and variable-time impulses
    Liu, Chao
    Liu, Wanping
    Yang, Zheng
    Liu, Xiaoyang
    Li, Chuandong
    Zhang, Guangjian
    NEUROCOMPUTING, 2016, 171 : 1644 - 1654
  • [28] Existence and continuability of solutions for differential equations with delays and state-dependent impulses
    Liu, XZ
    Ballinger, G
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (04) : 633 - 647
  • [29] New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses
    Benchaib, Abdellatif
    Salim, Abdelkrim
    Abbas, Said
    Benchohra, Mouffak
    MATHEMATICS, 2023, 11 (16)
  • [30] EXISTENCE OF MILD SOLUTIONS TO PARTIAL DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Chen, Pengyu
    Zhang, Xuping
    Li, Yongxiang
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,