Periodic solutions of some differential delay equations created by Hamiltonian systems

Jibin Li; Zhengrong Liu; Xuezhong He

doi:10.1017/s000497270003656x

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 journal › Article › peer-review

24 Citations (Scopus)

Abstract

This paper is concerned with finding periodic solutions of differential delay systems x′(t) = Σ^n-1_i=1 f(x(t - r_i)) and x′(t) = Σ^n-1_i=1 f(x(t - r_i)) where r_i (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 language	English
Pages (from-to)	377-390
Number of pages	14
Journal	Bulletin of the Australian Mathematical Society
Volume	60
Issue number	3
DOIs	https://doi.org/10.1017/s000497270003656x
Publication status	Published - Dec 1999
Externally published	Yes

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title = "Periodic solutions of some differential delay equations created by Hamiltonian systems",

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.",

author = "Jibin Li and Zhengrong Liu and Xuezhong He",

year = "1999",

month = dec,

doi = "10.1017/s000497270003656x",

language = "English",

volume = "60",

pages = "377--390",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

number = "3",

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TY - JOUR

T1 - Periodic solutions of some differential delay equations created by Hamiltonian systems

AU - Li, Jibin

AU - Liu, Zhengrong

AU - He, Xuezhong

PY - 1999/12

Y1 - 1999/12

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0040036791

U2 - 10.1017/s000497270003656x

DO - 10.1017/s000497270003656x

M3 - Article

AN - SCOPUS:0040036791

SN - 0004-9727

VL - 60

SP - 377

EP - 390

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

Periodic solutions of some differential delay equations created by Hamiltonian systems

Abstract

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