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Journal Articles Electronic Journal of Differential Equations Year : 2014

Functional differential equations with unbounded delay in extrapolation spaces

Abstract

We study the existence, regularity and stability of solutions for nonlinear partial neutral functional differential equations with unbounded de-lay and a Hille-Yosida operator on a Banach space X. We consider two non-linear perturbations: the first one is a function taking its values in X and the second one is a function belonging to a space larger than X, an extrapolated space. We use the extrapolation techniques to prove the existence and regu-larity of solutions and we establish a linearization principle for the stability of the equilibria of our equation.
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Dates and versions

hal-01096950 , version 1 (18-12-2014)

Identifiers

  • HAL Id : hal-01096950 , version 1

Cite

Mostafa Adimy, Mohamed Alia, Khalil Ezzinbi. Functional differential equations with unbounded delay in extrapolation spaces. Electronic Journal of Differential Equations, 2014, 2014, pp.1 - 16. ⟨hal-01096950⟩
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