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  • 标题:Boundedness of solutions of forced isochronous oscillators with singularity at resonance
  • 本地全文:下载
  • 作者:Haiyong Wang ; Shunjun Jiang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:55
  • DOI:10.1186/1687-1847-2014-55
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper we study the second-order periodic system: x ″ + V ′ ( x ) + p ( t ) g ( x ) = F x ( x , t ) where V ( x ) has a singularity. Under some assumptions on the V, F, g, and p, by Ortega’s small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.
  • 关键词:isochronous oscillators ; repulsive singularity ; small twist theorem ; quasi-periodic solutions ; boundedness of solution
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