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Boundedness of solutions for a class of nonlinear differential equations of second order via Moser's twist theorem

โœ Scribed by Rong Yuan; Xiaoping Yuan


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
128 KB
Volume
46
Category
Article
ISSN
0362-546X

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Boundedness of solutions for a class of
โœ Chunrui Cheng; Junxiang Xu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 254 KB

In this paper we study the boundedness of solutions for the second-order differential equation where F p (s) = |s| p-2 s, p > 1 and ฮฑ, ฮฒ are strictly positive constants satisfying a resonant relation n with n being a positive integer, and ฯ•(t, x) is a 2ฯ€ -periodic function in t. There exists a fun