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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Large amplitude periodic bouncing for impact oscillators with damping


Author: Dingbian Qian
Journal: Proc. Amer. Math. Soc. 133 (2005), 1797-1804
MSC (2000): Primary 34C15, 34C25, 34B30
Published electronically: December 20, 2004
MathSciNet review: 2120280
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Abstract: A result of A. Lazer and P. McKenna is extended to show the existence of large amplitude periodic bouncing for a damped linear impact oscillator with multiple impacts during one period.


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Additional Information

Dingbian Qian
Affiliation: Department of Mathematics, Suzhou University, Suzhou 215006, People’s Republic of China
Email: dbqian@suda.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07759-7
PII: S 0002-9939(04)07759-7
Keywords: Impact oscillator with damping, bouncing periodic solution, multiple impacts
Received by editor(s): February 10, 2003
Received by editor(s) in revised form: February 23, 2004
Published electronically: December 20, 2004
Additional Notes: This work was supported by NNSF of China No.10271085 and NSF of Jiangsu Province, China No.BK2002037, 02KJB110003
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.