A qualitative study of certain classes of differential equations and their applications=Étude qualitative de certaines classes d’équations différentielles et applications
No Thumbnail Available
Date
2026
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Université Badji Mokhtar Annaba
Abstract
It is well known that the theory of integral inequalities plays an essential role in the qualitative study of certain classes of differential equations. The aim of this thesis is, in a first step, to establish the qualitative analysis of perturbed dynamic equations on time scales. Secondly, we establish the practical stability of parametric timescale systems via Lyapunov methods. Lastly, we study the existence, uniqueness and Ulam stability of certain classes of second-order nonlinear dynamic equations on time scales and applications.
Description
Keywords
existence; time scales; gronwall inequality; practical h-stability; h-stability; perturbed systems; uniqueness