Periodic solutions of some differential delay equations created by Hamiltonian systems

Jibin Li*, Zhengrong Liu, Xuezhong He

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

This paper is concerned with finding periodic solutions of differential delay systems x′(t) = Σn-1i=1 f(x(t - ri)) and x′(t) = Σn-1i=1 f(x(t - ri)) where ri (i = 1, 2, ⋯, n - 1) are positive constants. By using the theory of Hamiltonian systems, we obtain some sufficient conditions under which these systems have many periodic solutions with known periods.

Original languageEnglish
Pages (from-to)377-390
Number of pages14
JournalBulletin of the Australian Mathematical Society
Volume60
Issue number3
DOIs
Publication statusPublished - Dec 1999
Externally publishedYes

Fingerprint

Dive into the research topics of 'Periodic solutions of some differential delay equations created by Hamiltonian systems'. Together they form a unique fingerprint.

Cite this