A qualitative study of certain classes of differential equations and their applications=Étude qualitative de certaines classes d’équations différentielles et applications

dc.contributor.authorBOUAOUD, Safa
dc.date.accessioned2026-07-23T02:29:27Z
dc.date.available2026-07-23T02:29:27Z
dc.date.issued2026
dc.description.abstractIt 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.
dc.formatPDF
dc.identifier.urihttps://dspace.univ-annaba.dz//handle/123456789/4804
dc.language.isoen
dc.publisherUniversité Badji Mokhtar Annaba
dc.subjectexistence; time scales; gronwall inequality; practical h-stability; h-stability; perturbed systems; uniqueness
dc.titleA qualitative study of certain classes of differential equations and their applications=Étude qualitative de certaines classes d’équations différentielles et applications
dc.typeThesis
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