Subharmonic oscillations for some second-order differential equations without Landsman-Lazer conditions

Maria do Rosário Grossinho, Rogério Ferreira Martins

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We prove the existence of a sequence of kT -periodic solutions of equation

                                                      u”(t)+g(t, u(t))=e(t),

with amplitudes and minimal periods tending to in nity without assuming Landesman-Lazer conditions
We study also the existence of an infnite number of solutions of the above equation assuming that the non-linearity g has a one-sided growth restriction.
Original languageEnglish
Title of host publicationDynamical systems and differential equations
Subtitle of host publicationproceedings of the Third International Conference "Dynamical Systems and Differential Equations" : Knnesaw State University, Gergia, May 2000
EditorsJoshua Du, Shouchuan Hu
Place of PublicationSpringfield
PublisherSouthwest Missouri State University
Pages174-181
Number of pages8
Publication statusPublished - 2001
Event3rd International Conference Dynamical Systems and Differential Equations - Knnesaw State University, Atlanta, United States
Duration: 18 May 200021 May 2000
Conference number: 3rd

Publication series

NameDiscrete and continuous dynamical systems: Conference Publications
Volume2001(Special)

Conference

Conference3rd International Conference Dynamical Systems and Differential Equations
Country/TerritoryUnited States
CityAtlanta
Period18/05/0021/05/00

Keywords

  • Subharmonic solutions
  • truncation procedure
  • a priori estimates

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