S-asymptotically ω-periodic solutions to some classes of partial evolution equations

William Dimbour; Gaston M. N’Guérékata

doi:10.1016/j.amc.2012.01.029

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S-asymptotically ω-periodic solutions to some classes of partial evolution equations

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S-asymptotically ω-periodic solutions to some classes of partial evolution equations

William Dimbour et Gaston M. N’Guérékata

Applied mathematics and computation, Vol.218(14), pp.7622-7628

15/03/2012

DOI: https://doi.org/10.1016/j.amc.2012.01.029

Résumé

Exponentially stable semigroup

Mild solutions

S-asymptotically ω-periodic functions

In this paper, we give some sufficient conditions for the existence and uniqueness of S-asymptotically ω-periodic (mild) solutions to some classes of partial evolution equations in Banach spaces. The main result is obtained by means of the Banach fixed point principle.

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Titre: S-asymptotically ω-periodic solutions to some classes of partial evolution equations
Créateurs - sans rôle: William Dimbour - Laboratoire C.E.R.E.G.M.I.A., Université des Antilles et de la Guyane, Campus Fouillole, 97159 Pointe-à-Pitre, Guadeloupe (FWI), France
Gaston M. N’Guérékata - Department of Mathematics, Morgan State University, 1700 East Cold Spring Lane Baltimore, MD 21251, USA
Détails de publication: Applied mathematics and computation, Vol.218(14), pp.7622-7628
Éditeur: Elsevier Inc
Nombre de pages: 7
Identifiants: 99149771609311
Unité académique: Observation Spatiale, Modèles et Science Impliquée - ESPACE DEV
Langue: English
Type de ressource: Journal article