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Lyapunov stability for measure differential equations and dynamic equations on time scales.

Authors :
Federson, M.
Grau, R.
Mesquita, J.G.
Toon, E.
Source :
Journal of Differential Equations. Sep2019, Vol. 267 Issue 7, p4192-4223. 32p.
Publication Year :
2019

Abstract

In this paper, we prove the stability results for measure differential equations, considering more general conditions under the Lyapunov functionals and concerning the functions f and g. Moreover, we prove these stability results for the dynamic equations on time scales, using the correspondence between the solutions of these last equations and the solutions of the measure differential equations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
267
Issue :
7
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
136824082
Full Text :
https://doi.org/10.1016/j.jde.2019.04.035