Extrapolation Spaces and Partial Neutral Functional Differential Equations with infinite delay

Mostafa Adimy 1, 2 Khalil Ezzinbi 3 Mohamed Alia 3
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]
Abstract : We study the existence regularity and stability of solutions for some nonlinear partial neutral functional differential equations with infinite delay. In our system, the unbounded linear term is a Hille-Yosida operator on a Banach space, and the nonlinear function takes its values on some spaces larger than the initial Banach space, namely the extrapolated Favard class corresponding to the semigroup generated by the unbounded linear operator. We give also a linearized stability principle to study the behavior of solutions near the equilibriums of the model.
Type de document :
Article dans une revue
Differential and integral equations, Khayyam Publishing, 2011
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https://hal.inria.fr/inria-00554435
Contributeur : Mostafa Adimy <>
Soumis le : lundi 10 janvier 2011 - 20:03:51
Dernière modification le : mercredi 11 avril 2018 - 01:56:17

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  • HAL Id : inria-00554435, version 1

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Mostafa Adimy, Khalil Ezzinbi, Mohamed Alia. Extrapolation Spaces and Partial Neutral Functional Differential Equations with infinite delay. Differential and integral equations, Khayyam Publishing, 2011. 〈inria-00554435〉

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