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Archivio Istituzionale della Ricerca (AperTO) - Università di Torino
Article . 2013
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Discrete and Continuous Dynamical Systems
Article . 2013 . Peer-reviewed
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Discrete and Continuous Dynamical Systems
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Archivio istituzionale della ricerca - Università degli Studi di Udine
Article . 2013
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https://dx.doi.org/10.3934/dcd...
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Subharmonic solutions for nonlinear second order equations in presence of lower and upper solutions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 Italy English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete & Continuous Dynamical Systems - A, volume 33, pages 89-110 (issn: 1553-5231, Copyright policy )
Authors: BOSCAGGIN, Alberto; ZANOLIN F.;

doi: 10.3934/dcds.2013.33.89

handle: 11390/865467 , 2318/151277

Subharmonic solutions for nonlinear second order equations in presence of lower and upper solutions

Abstract

We study the problem of existence and multiplicity of subharmonic solutions for a second order nonlinear ODE in presence of lower and upper solutions. We show how such additional information can be used to obtain more precise multiplicity results. Applications are given to pendulum type equations and to Ambrosetti-Prodi results for parameter dependent equations.

Country
Italy
Related Organizations
Keywords

Periodic solutions; subharmonic solutions; Poincare-Birkho twist theorem; lower and upper solutions; parameter dependent equations, Lower-upper solutions; Poincarè-Birkhoff

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Average
Green
gold