Harmonic oscillators at resonance, perturbed by a non-linear friction force
Abstract
This note is an addendum to the results of P.O. Frederickson and A.C. Lazer [1], and A.C. 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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.00369
- arXiv:
- arXiv:1609.00369
- Bibcode:
- 2016arXiv160900369K
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- Mathematics - Analysis of PDEs
- E-Print:
- 6 pages, 1 figure