Electron. J. Diff. Equ., Vol. 2014 (2014), No. 115, pp. 1-12.

Multiplicity and minimality of periodic solutions to delay differential system

Huafeng Xiao, Zhiming Guo

Abstract:
In this article, we study periodic solutions of a class of delay differential equations. By restricting our discussion on generalized Nehari Manifold, some sufficient conditions are obtained to guarantee the existence of infinitely many pairs of periodic solutions. Also, there exists at least one periodic solution with prescribed minimal period.

Submitted February 21, 2014. Published April 21, 2014.
Math Subject Classifications: 34K13, 58E05.
Key Words: Nehari Manifold; periodic solution; delay differential equation; minimal period.

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Huafeng Xiao
School of Mathematics and Information Sciences
Guangzhou University
Guangzhou, 510006, China
email: huafeng@gzhu.edu.cn
Zhiming Guo
School of Mathematics and Information Sciences
Guangzhou University
Guangzhou, 510006, China
email: guozm@gzhu.edu.cn

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