Document type
Journal articles
Document subtype
Full paper
Title
Remarks on periodic resonant problems with nonlinear dissipation
Participants in the publication
Luís Sanchez (Author)
Dep. Matemática
CMAFcIO
João G. Silva (Author)
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA
Summary
We consider the periodic problem for a 2nd order ODE with noninvertible linear part, and mild nonlinear dissipation term. The motivation for\nthis study is a paper by Lazer [9]. We add a bounded restoring force g(u) and\nshow that the sufficient condition (of Landesman-Lazer type) given in [9] still\nimplies the existence of a periodic solution in our case. We also comment on\nsome variants of the problem and on the existence of bounded solutions.
Editor(s)
Julio G. Dix
Date of Submisson/Request
2021-05-28
Date of Acceptance
2021-09-27
Date of Publication
2021-10-06
Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA
Where published
Electronic Journal of Differential Equations
Publication Identifiers
ISSN - 1072-6691
Address
San Marcos, TX 78666, USA
Volume
Special Issue 01, 2021
Number of pages
10
Starting page
203
Last page
212
Rankings
SCIMAGO Q2 (2021) - https://www.scimagojr.com/journalsearch.php?q=26391&tip=sid&clean=0 - differential equations
Keywords
Periodic solution
resonance
bounded solution