Measure functional differential equations and functional dynamic equations on time scales


Autoria(s): Federson, Márcia Cristina Anderson Braz; Mesquita, Jaqueline Godoy; Slavik, Antonin
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

24/10/2013

24/10/2013

2012

Resumo

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]

Identificador

JOURNAL OF DIFFERENTIAL EQUATIONS, SAN DIEGO, v. 252, n. 6, pp. 3816-3847, 2012

0022-0396

http://www.producao.usp.br/handle/BDPI/35957

10.1016/j.jde.2011.11.005

http://dx.doi.org/10.1016/j.jde.2011.11.005

Idioma(s)

eng

Publicador

ACADEMIC PRESS INC ELSEVIER SCIENCE

SAN DIEGO

Relação

JOURNAL OF DIFFERENTIAL EQUATIONS

Direitos

restrictedAccess

Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE

Palavras-Chave #MEASURE FUNCTIONAL DIFFERENTIAL EQUATIONS #FUNCTIONAL DYNAMIC EQUATIONS #GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS #EXISTENCE AND UNIQUENESS #CONTINUOUS DEPENDENCE ON A PARAMETER #PERIODIC AVERAGING #MATHEMATICS
Tipo

article

original article

publishedVersion