On general properties of retarded functional differential equations on manifolds

Pierluigi Benevieri; Alessandro Calamai; Massimo Furi; Maria Patrizia Pera

doi:10.3934/dcds.2013.33.27

Article Contents

2013, Volume 33, Issue 1: 27-46. Doi: 10.3934/dcds.2013.33.27

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On general properties of retarded functional differential equations on manifolds

1.
Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze, Via S. Marta 3, I-50139 Firenze
2.
Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, I-60131 Ancona

Received: July 31, 2011

Revised: January 31, 2012

Published: December 2012

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Abstract

We investigate general properties, such as existence and uniqueness, continuous dependence on data and continuation, of solutions to retarded functional differential equations with infinite delay on a differentiable manifold.

Keywords:

Retarded functional differential equations (RFDEs),
RFDEs with infinite delay,
RFDEs on manifolds,
initial value problems,
properties of solutions.

Mathematics Subject Classification: 34K05, 34C40.

Citation:

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