Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional differential systems

Baorong Tang, Yang Kuang

Research output: Contribution to journalArticle

51 Scopus citations

Abstract

We consider here a general Lotka-Volterra type n-dimensional periodic functional differential system. Sufficient conditions for the existence, uniqueness and global asymptotic stability of periodic solutions are established by combining the theory of monotone flow generated by FDEs, Horn’s asymptotic fixed point theorem and linearized stability analysis. These conditions improve and generalize the recent ones obtained by Freedman and Wu (1992) for scalar equations. We also present a nontrivial application of our results to a delayed nonautonomous predator-prey system.

Original languageEnglish (US)
Pages (from-to)217-239
Number of pages23
JournalTohoku Mathematical Journal
Volume49
Issue number2
DOIs
StatePublished - Jan 1 1997

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional differential systems'. Together they form a unique fingerprint.

  • Cite this