Functional differential equations with unbounded delay in extrapolation spaces

Autor: Mostafa Adimy, Mohamed Alia, Khalil Ezzinbi
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2014, Iss 180,, Pp 1-16 (2014)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We study the existence, regularity and stability of solutions for nonlinear partial neutral functional differential equations with unbounded delay and a Hille-Yosida operator on a Banach space X. We consider two nonlinear 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 regularity of solutions and we establish a linearization principle for the stability of the equilibria of our equation.
Databáze: Directory of Open Access Journals