Periodic averaging theorems for various types of equations


Autoria(s): Mesquita, Jaqueline Godoy; Slavik, Antonin
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

01/11/2013

01/11/2013

02/08/2013

Resumo

We prove a periodic averaging theorem for generalized ordinary differential equations and show that averaging theorems for ordinary differential equations with impulses and for dynamic equations on time scales follow easily from this general theorem. We also present a periodic averaging theorem for a large class of retarded equations.

FAPESP [2010/12673-1]

CAPES [6829-10-4]

Czech Ministry of Education [MSM 0021620839]

Identificador

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, SAN DIEGO, v. 387, n. 2, p. 862-877, MAR 15, 2012

0022-247X

http://www.producao.usp.br/handle/BDPI/37632

10.1016/j.jmaa.2011.09.038

http://dx.doi.org/10.1016/j.jmaa.2011.09.038

Idioma(s)

eng

Publicador

ACADEMIC PRESS INC ELSEVIER SCIENCE

SAN DIEGO

Relação

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Direitos

restrictedAccess

Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE

Palavras-Chave #PERIODIC AVERAGING #GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS #ORDINARY DIFFERENTIAL EQUATIONS WITH IMPULSES #DYNAMIC EQUATIONS ON TIME SCALES #RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS #RETARDED DIFFERENCE EQUATIONS #DIFFERENTIAL-EQUATIONS #MATHEMATICS, APPLIED #MATHEMATICS
Tipo

article

original article

publishedVersion