Periodic averaging theorems for various types of equations

Mesquita, Jaqueline Godoy; Slavik, Antonin

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Periodic averaging theorems for various types of equations

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Author(s):	Mesquita, Jaqueline Godoy ^[1] ; Slavik, Antonin ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil ^[2] Charles Univ Prague, Fac Math & Phys, Prague 18675 8 - Czech Republic Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Mathematical Analysis and Applications; v. 387, n. 2, p. 862-877, MAR 15 2012.
Web of Science Citations:	11
Abstract
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. (C) 2011 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	10/12673-1 - Retarded differential equations on time scales
Grantee:	Jaqueline Godoy Mesquita
Support Opportunities:	Scholarships in Brazil - Doctorate

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