Acta mathematica scientia, Series B >
HARMONIC OSCILLATORS AT RESONANCE, PERTURBED BY A NON-LINEAR FRICTION FORCE
Received date: 2013-06-28
Revised date: 2013-12-28
Online published: 2014-07-20
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
Philip KORMAN , Yi LI . HARMONIC OSCILLATORS AT RESONANCE, PERTURBED BY A NON-LINEAR FRICTION FORCE[J]. Acta mathematica scientia, Series B, 2014 , 34(4) : 1025 -1028 . DOI: 10.1016/S0252-9602(14)60066-7
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