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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.)

Continuous dependence for impulsive functional dynamic equations involving variable time scales

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Author(s):
Bohner, Martin [1] ; Federson, Marcia [2] ; Mesquita, Jaqueline Godoy [2]
Total Authors: 3
Affiliation:
[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 - USA
[2] Univ Sao Paulo, Inst Ciencias Math & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Applied Mathematics and Computation; v. 221, p. 383-393, SEP 15 2013.
Web of Science Citations: 7
Abstract

Using a known correspondence between the solutions of impulsive measure functional differential equations and the solutions of impulsive functional dynamic equations on time scales, we prove that the limit of solutions of impulsive functional dynamic equations over a convergent sequence of time scales converges to a solution of an impulsive functional dynamic equation over the limiting time scale. (C) 2013 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 10/09139-3 - Non-absolute integration and differential equations
Grantee:Márcia Cristina Anderson Braz Federson
Support Opportunities: Regular Research Grants
FAPESP's process: 10/12673-1 - Retarded differential equations on time scales
Grantee:Jaqueline Godoy Mesquita
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 11/51745-0 - Martin j bohner | missouri university of Science and Technology - Estados Unidos
Grantee:Márcia Cristina Anderson Braz Federson
Support Opportunities: Research Grants - Visiting Researcher Grant - International