Generalization of the Gronwall-Bellman lemma for the stability of perturbed systems
Type doc. :
Thèses / mémoires
Langue :
Anglais
Auteur(s) :
Année de soutenance:
2024
Afficher le Résumé
It is well known that the theory of integral inequalities plays an essential role in the study of the qualitative and quantitative analysis of the behaviour of various types of solutions of non-linear differential equations.The aim of this thesis is establish,in a first step,new fractional integral inequalities for one-variable functions.Secondly,we will establish new two-dimensional Gamidov-type inequalities.Finally,we used some integral inequalities to study the exponential stability of some perturbed nonlinear dynamical systems at arbitrary time scalesand to study the h-stability of a class of dynamical equations in a Banach space.
| N° Bulletin | Date / Année de parution | Titre N° Spécial | Sommaire |
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| Cote | Localisation | Type de Support | Type de Prêt | Statut | Date de Restitution Prévue | Réservation |
|---|---|---|---|---|---|---|
| 510 AYA TH C1 | BIB-Centrale / Thèses | interne | disponible |
Ayari, A. et al. (2024). Generalization of the Gronwall-Bellman lemma for the stability of perturbed systems (Doctorat) . Annaba.