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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 9
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Articles

Floquet theory for a Volterra integro-dynamic system

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Pages 2002-2013 | Received 22 Oct 2013, Accepted 27 Oct 2013, Published online: 19 Mar 2014
 

Abstract

In this paper, we study periodic linear Volterra systems on periodic time scales which include not only discrete and continuous dynamical systems but also systems with a mixture of discrete and continuous parts (e.g. hybrid dynamical systems). We discuss the relationship between the solution of the Volterra integro-dynamic system and the limiting equation of the corresponding system. We also develop integrability conditions of the resolvent of Volterra integro-dynamic systems.

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