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Existence of quasi-periodic solutions and Littlewood’s boundedness problem of sub-linear impact oscillators

✍ Scribed by Zhiguo Wang; Qihuai Liu; Dingbian Qian

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 297 KB
Volume: 74
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2011.05.046

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✦ Synopsis

In this paper, it is shown by a series of transformations that how Moser's invariant curve theorem can be used to analyze the dynamical behavior of sub-linear Duffingtype equations with impact. We prove that all solutions are bounded, and that there are infinitely many periodic and quasi-periodic solutions in this impact case.

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