The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations | Zendy

Huafeng Xiao | Zendy; Bo Zheng | Zendy

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The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations

Author(s) -

Huafeng Xiao,

Bo Zheng

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/829107

Subject(s) - mathematics , multiplicity (mathematics) , infinity , mathematical analysis , delay differential equation , differential equation , zero (linguistics) , stability theory , comparison theorem , nonlinear system , physics , philosophy , linguistics , quantum mechanics

We study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and atinfinity. By making use of a theorem of Benci, some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions

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