Qualitative analysis of a nonautonomous nonlinear delay differential equation

Yang Kuang, Binggen Zhang, Tao Zhao

Research output: Contribution to journalArticle

17 Scopus citations

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

ASJC Scopus subject areas

  • Mathematics(all)

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