Author/Authors :
Boukerrioua, Khaled Lanos Laboratory - Faculty of Sciences - Badji Mokhtar Annaba University, Annaba, Algeria , Diabi, Dallel Lanos Laboratory - Faculty of Sciences - Badji Mokhtar Annaba University, Annaba, Algeria , Meramria, Meissoun Faculty of Sciences - Badji Mokhtar-Annaba University, Annaba, Algeria , Hammami, Mohamed Ali Department of Mathematics - Faculty of Sciences of Sfax - University of Sfax Route Soukra, Sfax, TUNISIA
Abstract :
This paper focuses on the problem of exponential stability of certain classes of dynamic perturbed systems on time scales using time scale versions of some Gronwall type inequalities. We prove
under certain conditions on the nonlinear perturbations that the resulting perturbed nonlinear initial
value problem still acquir uniformly exponentially stable, if the associated time-varying linear system
has already owned this property. Furthermore, an example is given to illustrate the applicability of the
obtained results
Keywords :
Dynamic equations , time scale , Gronwall integral inequality , exponential stability
