On the Construction of Periodic Solutions of Kaplan-Yorke Type for Some Differential Delay Equations

K. Gopalsamy; Jibin Li; Xue Zhong He

doi:10.1080/00036819508840390

On the Construction of Periodic Solutions of Kaplan-Yorke Type for Some Differential Delay Equations

K. Gopalsamy, Jibin Li^*, Xue Zhong He

^*Corresponding author for this work

Flinders University

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

In this paper we point out the main idea to yield periodic solutions of Kaplan-Yorke type of differential delay equations. Some new sufficient conditions for the existence of Kaplan-Yorke type periodic solutions have been given. Many interesting examples are also disscused.

Original language	English
Pages (from-to)	65-80
Number of pages	16
Journal	Applicable Analysis
Volume	59
Issue number	1-4
DOIs	https://doi.org/10.1080/00036819508840390
Publication status	Published - 1 Dec 1995
Externally published	Yes

Keywords

Kaplan-Yorke method
differential-delay equations
generalized Hamiltonian systems
periodic solutions

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10.1080/00036819508840390

Cite this

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title = "On the Construction of Periodic Solutions of Kaplan-Yorke Type for Some Differential Delay Equations",

abstract = "In this paper we point out the main idea to yield periodic solutions of Kaplan-Yorke type of differential delay equations. Some new sufficient conditions for the existence of Kaplan-Yorke type periodic solutions have been given. Many interesting examples are also disscused.",

keywords = "Kaplan-Yorke method, differential-delay equations, generalized Hamiltonian systems, periodic solutions",

author = "K. Gopalsamy and Jibin Li and He, {Xue Zhong}",

year = "1995",

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doi = "10.1080/00036819508840390",

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AU - Gopalsamy, K.

AU - Li, Jibin

AU - He, Xue Zhong

PY - 1995/12/1

Y1 - 1995/12/1

N2 - In this paper we point out the main idea to yield periodic solutions of Kaplan-Yorke type of differential delay equations. Some new sufficient conditions for the existence of Kaplan-Yorke type periodic solutions have been given. Many interesting examples are also disscused.

AB - In this paper we point out the main idea to yield periodic solutions of Kaplan-Yorke type of differential delay equations. Some new sufficient conditions for the existence of Kaplan-Yorke type periodic solutions have been given. Many interesting examples are also disscused.

KW - Kaplan-Yorke method

KW - differential-delay equations

KW - generalized Hamiltonian systems

KW - periodic solutions

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U2 - 10.1080/00036819508840390

DO - 10.1080/00036819508840390

M3 - Article

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VL - 59

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EP - 80

JO - Applicable Analysis

JF - Applicable Analysis

IS - 1-4

ER -

On the Construction of Periodic Solutions of Kaplan-Yorke Type for Some Differential Delay Equations

Abstract

Keywords

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