Open Access
2011 Existence and Multiplicity of Periodic Solutions Generated by Impulses
Liu Yang, Haibo Chen
Abstr. Appl. Anal. 2011: 1-15 (2011). DOI: 10.1155/2011/310957


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


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Liu Yang. Haibo Chen. "Existence and Multiplicity of Periodic Solutions Generated by Impulses." Abstr. Appl. Anal. 2011 1 - 15, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1253.34046
MathSciNet: MR2800077
Digital Object Identifier: 10.1155/2011/310957

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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