数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (4): 1025-1028.doi: 10.1016/S0252-9602(14)60066-7

• 论文 • 上一篇    下一篇

HARMONIC OSCILLATORS AT RESONANCE, PERTURBED BY A NON-LINEAR FRICTION FORCE

Philip KORMAN, Yi LI   

  1. Department of Mathematical Sciences, University of Cincinnati, Cincinnati Ohio 45221-0025, USA|Department of Mathematics and Statistics, Wright State University, Dayton OH 45435, USA
  • 收稿日期:2013-06-28 修回日期:2013-12-28 出版日期:2014-07-20 发布日期:2014-07-20

HARMONIC OSCILLATORS AT RESONANCE, PERTURBED BY A NON-LINEAR FRICTION FORCE

Philip KORMAN, Yi LI   

  1. Department of Mathematical Sciences, University of Cincinnati, Cincinnati Ohio 45221-0025, USA|Department of Mathematics and Statistics, Wright State University, Dayton OH 45435, USA  
  • Received:2013-06-28 Revised:2013-12-28 Online:2014-07-20 Published:2014-07-20

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摘要：

This note is an addendum to the results of Lazer and Frederickson [1], and Lazer [4] on periodic oscillations, with linear part at resonance. We show that a small modification of the argument in [4] provides a more general result. It turns out that things are different for the corresponding Dirichlet boundary value problem.

关键词: resonance, existence of periodic solutions

Abstract:

This note is an addendum to the results of Lazer and Frederickson [1], and Lazer [4] on periodic oscillations, with linear part at resonance. We show that a small modification of the argument in [4] provides a more general result. It turns out that things are different for the corresponding Dirichlet boundary value problem.

Key words: resonance, existence of periodic solutions

中图分类号: 

  • 34C25
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