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

TitleSubharmonic solutions for nonlinear second order equations in presence of lower and upper solutions
Publication TypeJournal Article
Year of Publication2013
AuthorsBoscaggin, A, Zanolin, F
JournalDiscrete & Continuous Dynamical Systems - A
Volume33
Pagination89
ISSN1078-0947
Keywordslower and upper solutions; parameter dependent equations; Periodic solutions; Poincaré-Birkhoff twist theorem; subharmonic 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.

URLhttp://aimsciences.org//article/id/3638a93e-4f3e-4146-a927-3e8a64e6863f
DOI10.3934/dcds.2013.33.89

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