Massera-Type theorem and asymptotically periodic Logistic equations

Gao Haiyin; Wang Ke; Wei Fengying; Ding Xiaohua

doi:10.1016/j.nonrwa.2005.11.008

Massera-Type theorem and asymptotically periodic Logistic equations

Gao Haiyin
, Wang Ke
, Wei Fengying^*
, Ding Xiaohua

^*Corresponding author for this work

Northeast Normal University
Changchun University
Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

Some important properties of asymptotically periodic functions were studied in this paper. Sufficient conditions of existence of globally stable asymptotically periodic solution were obtained. Then, Massera-Type theorems were discussed for one-dimensional, two-dimensional, higher-dimensional asymptotically periodic systems. Finally, global stability of periodic Logistic equations and asymptotically periodic Logistic equations were considered, respectively.

Original language	English
Pages (from-to)	1268-1283
Number of pages	16
Journal	Nonlinear Analysis: Real World Applications
Volume	7
Issue number	5
DOIs	https://doi.org/10.1016/j.nonrwa.2005.11.008
State	Published - Dec 2006
Externally published	Yes

Keywords

Asymptotically periodic Logistic equations
Global stability
Massera-Type theorem

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10.1016/j.nonrwa.2005.11.008

Cite this

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title = "Massera-Type theorem and asymptotically periodic Logistic equations",

abstract = "Some important properties of asymptotically periodic functions were studied in this paper. Sufficient conditions of existence of globally stable asymptotically periodic solution were obtained. Then, Massera-Type theorems were discussed for one-dimensional, two-dimensional, higher-dimensional asymptotically periodic systems. Finally, global stability of periodic Logistic equations and asymptotically periodic Logistic equations were considered, respectively.",

keywords = "Asymptotically periodic Logistic equations, Global stability, Massera-Type theorem",

author = "Gao Haiyin and Wang Ke and Wei Fengying and Ding Xiaohua",

year = "2006",

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T1 - Massera-Type theorem and asymptotically periodic Logistic equations

AU - Haiyin, Gao

AU - Ke, Wang

AU - Fengying, Wei

AU - Xiaohua, Ding

PY - 2006/12

Y1 - 2006/12

N2 - Some important properties of asymptotically periodic functions were studied in this paper. Sufficient conditions of existence of globally stable asymptotically periodic solution were obtained. Then, Massera-Type theorems were discussed for one-dimensional, two-dimensional, higher-dimensional asymptotically periodic systems. Finally, global stability of periodic Logistic equations and asymptotically periodic Logistic equations were considered, respectively.

AB - Some important properties of asymptotically periodic functions were studied in this paper. Sufficient conditions of existence of globally stable asymptotically periodic solution were obtained. Then, Massera-Type theorems were discussed for one-dimensional, two-dimensional, higher-dimensional asymptotically periodic systems. Finally, global stability of periodic Logistic equations and asymptotically periodic Logistic equations were considered, respectively.

KW - Asymptotically periodic Logistic equations

KW - Global stability

KW - Massera-Type theorem

UR - https://www.scopus.com/pages/publications/33745148633

U2 - 10.1016/j.nonrwa.2005.11.008

DO - 10.1016/j.nonrwa.2005.11.008

M3 - 文章

AN - SCOPUS:33745148633

SN - 1468-1218

VL - 7

SP - 1268

EP - 1283

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 5

ER -

Massera-Type theorem and asymptotically periodic Logistic equations

Abstract

Keywords

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