Existence and Multiplicity of Periodic Solutions Generated by Impulses | Zendy

Liu Yang | Zendy; Haibo Chen | Zendy

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Existence and Multiplicity of Periodic Solutions Generated by Impulses

Author(s) -

Liu Yang,

Haibo Chen

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/310957

Subject(s) - mathematics , multiplicity (mathematics) , class (philosophy) , critical point (mathematics) , mathematical analysis , differential equation , pure mathematics , computer science , artificial intelligence

We investigate the existence and multiplicity of periodic solutions for a class of second-order differential systems with impulses. By using variationalmethods and critical point theory, we obtain such a system possessesat least one nonzero, two nonzero, or infinitely many periodic solutions generatedby impulses under different conditions, respectively. Recent results in theliterature are generalized and significantly improved

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