Continuous Dependence for Impulsive Functional Dynamic Equations Involving Variable Time Scales

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Márcia Federson
Jaqueline Godoy Mesquita

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. © 2013 Elsevier Ltd. All rights reserved.

Recommended Citation

M. Bohner et al., "Continuous Dependence for Impulsive Functional Dynamic Equations Involving Variable Time Scales," Applied Mathematics and Computation, vol. 221, pp. 383 - 393, Elsevier, Aug 2013.

The definitive version is available at https://doi.org/10.1016/j.amc.2013.05.058

Department(s)

Mathematics and Statistics

Comments

Fundação de Amparo à Pesquisa do Estado de São Paulo, Grant 2010/09139-3

Keywords and Phrases

Continuous dependence; Dynamic equation; Measure functional differential equation; Time scale

International Standard Serial Number (ISSN)

0096-3003

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Elsevier, All rights reserved.

Publication Date

05 Aug 2013