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

Basic results for functional differential and dynamic equations involving impulses

Full text
Author(s):
Federson, Marcia [1] ; Mesquita, Jaqueline Godoy [1] ; Slavik, Antonin [2]
Total Authors: 3
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: Mathematische Nachrichten; v. 286, n. 2-3, p. 181-204, 2013.
Web of Science Citations: 33
Abstract

We study the relation between measure functional differential equations, impulsive measure functional differential equations, and impulsive functional dynamic equations on time scales. For both types of impulsive equations, we obtain results on the existence and uniqueness of solutions, continuous dependence, and periodic averaging. Along the way, we also clarify the relation between time scale integrals and Kurzweil-Henstock-Stieltjes integrals. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim (AU)

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