Qualitative analysis of a nonautonomous nonlinear delay differential equation

Yang Kuang, Binggen Zhang, Tao Zhao

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

This paper is devoted to the systematic study of some qualitative properties of solutions of a nonautonomous nonlinear delay equation, which can be utilized to model single population growths. Various results on the boundedness and oscillatory behavior of solutions are presented. A detailed analysis of the global existence of periodic solutions for the corresponding autonomous nonlinear delay equation is given. Moreover, sufficient conditions are obtained for the solutions to tend to the unique positive equilibrium.

Original languageEnglish (US)
Pages (from-to)509-528
Number of pages20
JournalTohoku Mathematical Journal
Volume43
Issue number4
DOIs
StatePublished - 1991

Fingerprint

Delay Equations
Qualitative Analysis
Delay Differential Equations
Nonlinear Differential Equations
Nonlinear Equations
Population Growth
Qualitative Properties
Behavior of Solutions
Global Existence
Boundedness
Periodic Solution
Tend
Sufficient Conditions
Model

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Qualitative analysis of a nonautonomous nonlinear delay differential equation. / Kuang, Yang; Zhang, Binggen; Zhao, Tao.

In: Tohoku Mathematical Journal, Vol. 43, No. 4, 1991, p. 509-528.

Research output: Contribution to journalArticle

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