On the existence and stability of periodic solutions for pendulum-like equations with friction and $\phi$-Laplacian

J. Ángel Cid; Pedro J. Torres

doi:10.3934/dcds.2013.33.141

Article Contents

2013, Volume 33, Issue 1: 141-152. Doi: 10.3934/dcds.2013.33.141

This issue Previous Article Existence and qualitative properties of solutions for nonlinear Dirichlet problems Next Article Some bifurcation results for rapidly growing nonlinearities

On the existence and stability of periodic solutions for pendulum-like equations with friction and $\phi$-Laplacian

J. Ángel Cid^1, and
Pedro J. Torres^2,

1.
Departamento de Matemáticas, Universidade de Vigo, Higher Technical School of Computer Engineering, 32004, Ourense
2.
Departamento de Matemática Aplicada, Universidad de Granada, Facultad de Ciencias, Granada

Received: April 2011

Revised: January 2012

Published: January 2013

Abstract / Introduction Related Papers Cited by

Abstract

In this paper we study the existence, multiplicity and stability of T-periodic solutions for the equation $\left(\phi(x')\right)'+c\, x'+g(x)=e(t)+s.$

Keywords:

Mathematics Subject Classification: Primary: 34C25.

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