Three nonzero periodic solutions for a differential inclusion

Francesca Faraci; Antonio Iannizzotto

doi:10.3934/dcdss.2012.5.779

Article Contents

2012, Volume 5, Issue 4: 779-788. Doi: 10.3934/dcdss.2012.5.779

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Three nonzero periodic solutions for a differential inclusion

Francesca Faraci^1, and
Antonio Iannizzotto^1,

1.
Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania

Received: April 30, 2011

Revised: June 30, 2011

Published: July 2012

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Abstract

We prove the existence of three non-zero periodic solutions for an ordinary differential inclusion. Our approach is variational and based on a multiplicity theorem for the critical points of a nonsmooth functional, which extends a recent result of Ricceri.

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Mathematics Subject Classification: Primary: 34A60; Secondary: 34C25.

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References

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