Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces

Mostafa Adimy 1, 2 Khalil Ezzinbi 3 Catherine Marquet 4
1 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne]
4 LMA
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
Abstract : We use a new concept of weighted ergodic function based on the measure theory to investigate the existence and uniqueness of weighted pseudo almost periodic solution for a class of partial functional differential equations with infinite delay in fading memory spaces. We illustrate our theoretical results by studying some Lotka-Voltera reaction-diffusion systems with infinite delay.
Type de document :
Article dans une revue
Journal of Applied Mathematics and Computing, Springer, 2014, 44 (1-2), pp.19. 〈10.1007/s12190-013-0686-9〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00846883
Contributeur : Mostafa Adimy <>
Soumis le : lundi 22 juillet 2013 - 10:22:15
Dernière modification le : mercredi 11 avril 2018 - 01:53:39

Identifiants

Citation

Mostafa Adimy, Khalil Ezzinbi, Catherine Marquet. Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces. Journal of Applied Mathematics and Computing, Springer, 2014, 44 (1-2), pp.19. 〈10.1007/s12190-013-0686-9〉. 〈hal-00846883〉

Partager

Métriques

Consultations de la notice

458