EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTION OF DELAYED LOGISTIC EQUATION AND ITS ASYMPTOTIC BEHAVIOR 被引量：3

导出

摘要 In this paper, our main aim is to study the existence and uniqueness of the periodic solution of delayed Logistic equation and its asymptotic behavior. In case the coefficients are periodic, we give some sufficient conditions for the existence and uniqueness of periodic solution. Furthermore, we also study the effect of time-delay on the solution.

作者 WangJinliang ZhouLi

机构地区 DepartmentofControlScienceandEngineering DepartmentofMathematics

出处《Journal of Partial Differential Equations》 2003年第4期347-360,共14页 偏微分方程（英文版）

关键词存在性唯一性周期解延迟逻辑方程渐近行为

分类号 O175.2 [理学—基础数学]

引文网络
相关文献

同被引文献8

1Wang J L, Zhou L, Tang Y B. Asymptotic periodicity of a food-limited diffusive population model with time-delay[J]. Journal of Mathematical Analysis and Applications, 2006,313: 381-399.
2Wang J L, Zhou L, Tang Y B. Asymptotic periodicity of the volterra equation with infinite delay[J]. Nonlinear Analysis, 2008, 68(2): 315-328.
3Fink A M. Almost periodic differential equations[M]. Berlin: Springer-Verlag, 1974.
4Wang J L, Li H F. The weighted periodic function and its properties[J]. Dynamics of Continuous Discrete and Impulsive Systems..Se- ries A: Mathematical Analysis, 2006,13 (S3):1179-1183.
5Wang J L,Zhang G. Asymptotic weighted periodicity for delay differential equations[J]. Dynamic Systems and Applications,2006,15 : 479-500.
6Wang J L,Li H F. Asymptotic weighted-periodicity of the impulsive parabolic equation with time delay[J]. Acta Mathematicae Appli- catae Sinica: English Series, 2007,23 (1) : 1-8.
7Wang J L, Li H F. Concept of "asymptotic weighted periodicity" and its applications in impulsive dynamic systems[J]. Dynamics of Dynamics of Continuous Discrete and Impulsive Systems: Series A: Mathematical Analysis, 2008,15 (S1) : 20-24.
8王金良,李慧凤.Logistic种群演化模型的渐近加权周期性[J].应用数学学报,2011,34(3):496-501. 被引量：3

引证文献3

1王金良,周笠.时滞对食物受限种群演化模型的渐近性的影响[J].数学物理学报（A辑）,2006,26(3):396-402.
2Jin-liang Wang,Hui-feng Li.Asymptotic Weighted-Periodicity of the Impulsive Parabolic Equation with Time Delay[J].Acta Mathematicae Applicatae Sinica,2007,23(1):1-8.
3王金良,李慧凤.加权周期理论与应用研究进展[J].青岛理工大学学报,2012,33(3):7-10. 被引量：1

二级引证文献1

1张明,高志彬.基于改进ESMD的轴承故障诊断[J].机电设备,2021,38(6):1-3.

1Jos Francisco RODRIGUES,Hugo TAVARES.Increasing Powers in a Degenerate Parabolic Logistic Equation[J].Chinese Annals of Mathematics,Series B,2013,34(2):277-294.
2秦茂昌,梅凤翔,范桂红.OSCILLATION FOR A CLASS OF LOGISTIC EQUATIONS[J].Annals of Differential Equations,2002,18(4):383-387.
3(Department of Applied Mathematics and Applied Software, Central South University of Technology, Changsha, 410083, China).GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS DELAY-LOGISTIC EQUATIONS^+[J].Journal of Central South University,1995,7(1):73-75. 被引量：2
4Roman Senkerik Ivan Zelinka Zuzana Oplatkova.Evolutionary Techniques for Control of Discrete Chaotic Logistic Equation[J].通讯和计算机（中英文版）,2010,7(2):70-77.
5Yaoping Chen (Concord University College of Fujian Normal University, Fuzhou 350007).EXTINCTION OF A DISCRETE NONLINEAR PREDATOR-PREY SYSTEM[J].Annals of Differential Equations,2010,26(4):379-384.
6王国明,黄庆道,韩月才,李勇.Existence of Single and Multiple PositivePeriodic Solutions for a Kindof Delay Logistic Equations[J].Northeastern Mathematical Journal,2003,19(4):283-286.
7Chunhua Feng (College of Mathematical Science,Guangxi Normal University,Guilin 541004,Guangxi) Zhenkun Huang (Science College,Jimei University,Xiamen 361021,Fujian).ALMOST PERIODICITY FOR AN IMPULSIVE PURE DELAY LOGISTIC EQUATION[J].Annals of Differential Equations,2009,25(3):316-322.
8王国铭,董小刚,张朝凤.The Existence of Positive Periodic Solutions for a Kind of Delay Logistic Equations[J].Northeastern Mathematical Journal,2006,22(4):451-458.
9GLOBAL ATTRACT IVITYIN A GENERALIZEDDELAYLOGISTICEQUATION＊[J].Applied Mathematics(A Journal of Chinese Universities),1996,11(2):165-174. 被引量：2
10HUANG JIANJUN.FURTHER IN VESTIGATION OF THE VOLTERRA-LOTKA COMPETITION MODEL WITH DIFFUSION[J].Applied Mathematics(A Journal of Chinese Universities),1998,13(2):135-140.

Journal of Partial Differential Equations

2003年第4期

浏览历史

内容加载中请稍等...

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTION OF DELAYED LOGISTIC EQUATION AND ITS ASYMPTOTIC BEHAVIOR 被引量：3

同被引文献8

引证文献3

二级引证文献1

相关作者

相关机构

相关主题

浏览历史