Pierluigi Benevieri, Alessandro Calamai,
Massimo Furi, Maria Patrizia Pera
Abstract:
We prove an existence result for
-periodic solutions of a
-periodic second order delay differential equation on a
boundaryless compact manifold with nonzero Euler-Poincare
characteristic. The approach is based on an existence result
recently obtained by the authors for first order delay differential
equations on compact manifolds with boundary.
Submitted July 29, 2006. Published April 26, 2007.
Math Subject Classifications: 34K13, 37C25.
Key Words: Delay differential equations; Forced oscillations;
periodic solutions; compact manifolds;
Euler-Poincare characteristic; fixed point index.
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Pierluigi Benevieri Dipartimento di Matematica Applicata "Giovanni Sansone" Università degli Studi di Firenze Via S. Marta 3, I-50139 Firenze, Italy email: pierluigi.benevieri@unifi.it |
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Alessandro Calamai Dipartimento di Scienze Matematiche Università Politecnica delle Marche Via Brecce Bianche, I-60131 Ancona, Italy email: calamai@math.unifi.it, calamai@dipmat.univpm.it |
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Massimo Furi Dipartimento di Matematica Applicata "Giovanni Sansone" Università degli Studi di Firenze Via S. Marta 3, I-50139 Firenze, Italy email: massimo.furi@unifi.it |
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Maria Patrizia Pera Dipartimento di Matematica Applicata "Giovanni Sansone" Università degli Studi di Firenze Via S. Marta 3, I-50139 Firenze, Italy email: mpatrizia.pera@unifi.it |
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