Measure functional differential equations and functional dynamic equations on time scales

Federson, Márcia Cristina Anderson Braz
Mesquita, Jaqueline Godoy
Slavik, Antonin

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Publication date

January 2012

DOI

10.1016/j.jde.2011.11.005

Publisher

Elsevier BV

ISSN

0022-0396

Journal

Journal of Differential Equations

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Abstract

We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure functional differential equations. For both types of equations, we obtain results on the existence and uniqueness of solutions, continuous dependence, and periodic averaging.FAPESP [2010/09139-3, 2010/12673-1]CNPq [304646/2008-3]CAPES [6829-10-4]Czech Ministry of Education [MSM 0021620839

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Measure functional differential equations and functional dynamic equations on time scales

Abstract

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Measure functional differential equations and functional dynamic equations on time scales

Abstract

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