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Existence of quasiperiodic solutions and Littlewood’s boundedness problem of Duffing equations with subquadratic potentials

✍ Scribed by Tassilo Küpper; Jiangong You


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
92 KB
Volume
35
Category
Article
ISSN
0362-546X

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Existence of quasi-periodic solutions an
✍ Zhiguo Wang; Qihuai Liu; Dingbian Qian 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 297 KB

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 so