Oscillation and Global Stability of an Impulsive Delay Logistic Equation

被引：0

作者：

Bozkurt, F. ^{[1
,2
]}

Yousef, A. ^{[2
]}

机构：

[1] Fac Educ, Dept Math & Sci Educ, TR-38039 Kayseri, Turkey

[2] Kuwait Coll Sci & Technol, Dept Math, Kuwait 27235, Kuwait

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2018年 / 57卷 / 06期

关键词：

Global attractivity; Impulsive delay differential equation; Logistic equation; Oscillation; Periodic solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a logistic equation given as a non-linear impulsive delay population model. We have obtained sufficient conditions for the existence and the global attractively of positive periodic solution x* (t) of the constructed impulsive delay logistic equation. Also, we have established some sufficient conditions for oscillation of all positive solutions about the positive periodic solution x* (t).

引用

页码：83 / 90

页数：8

共 50 条

[21] Numerical oscillation of neutral logistic delay differential equation
Wang, Qi
APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 49 - 59
[22] Oscillation and stability of linear impulsive delay differential equations
Yan, JR
Zhao, AM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 227 (01) : 187 - 194
[23] GLOBAL ATTRACTIVITY IN A DELAY LOGISTIC DIFFERENCE EQUATION
Zhou YinggaoDept. of Appl.Math.and Appl.Software
AppliedMathematics:AJournalofChineseUniversities, 2003, (01) : 53 - 58
[24] Global attractivity in a delay logistic difference equation
Zhou Y.
Applied Mathematics-A Journal of Chinese Universities, 2003, 18 (1) : 53 - 58
[25] Oscillation of a second order impulsive linear delay differential equation
Berezansky, L
Braverman, E
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (01) : 276 - 300
[26] Oscillation criteria for second order impulsive delay differential equation
Alzabut, J
Zafert, A
GLOBAL ANALYSIS AND APPLIED MATHEMATICS, 2004, 729 : 317 - 324
[27] Stability of the delay logistic equation of population dynamics
Vagina, MY
2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL, 2003, : 316 - 318
[28] Global attractivity and oscillation in a nonlinear delay equation
Yan, JR
Feng, QX
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (01) : 101 - 108
[29] Oscillation and global attractivity in a periodic delay equation
Graef, JR
Qian, C
Spikes, PW
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1996, 39 (03): : 275 - 283
[30] Oscillation and stability of nonlinear neutral impulsive delay differential equations
Duan, YR
Zhang, SN
Zheng, G
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (12): : 1903 - 1915

← 1 2 3 4 5 →