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Periodic solutions of some differential delay equations created by Hamiltonian systems

Published online by Cambridge University Press:  17 April 2009

Jibin Li ,
Zhengrong Liu  and
Xuezhong He
Jibin Li
Affiliation:
Kunming University of Science and TechnologyInstitute of Applied Mathematics of Yunnan ProvinceKunming, 650093Peoples Rrepublic of China
Zhengrong Liu
Affiliation:
Department of MathematicsYunnan UniversityInstitute of Applied Mathematics of Yunnan ProvinceKunming, 650091Peoples Republic of China
Xuezhong He
Affiliation:
School of Mathematics and StatisticsThe University of SydneySydney, NSW 2006Australia
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Abstract

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This paper is concerned with finding periodic solutions of differential delay systems

and

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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 377 - 390
Copyright
Copyright © Australian Mathematical Society 1999

References

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