Open AccessBoundedness of Solutions for a Class of Second-Order Periodic Systems
Author(s) -
Shunjun Jiang,
Yan Ding
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/267572
Subject(s) - algorithm , computer science
In this paper we study the following second-order periodic system: x′′+V′(x)+p(x,t)=0, where V(x) has a singularity. Under some assumptions on the V(x) and p(x,t) by Ortega’ smalltwist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all thesolutions
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