In this work, we discuss the existence, regularity and stability of solutions for some partial functional differential equations with infinite delay. We assume that the linear part generates an analytic semigroup on a Banach space X and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.
机构:
Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, MoroccoUniv Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco
Elazzouzi, Abdelhai
Ouhinou, Aziz
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机构:
AIMS, ZA-7945 Muizenberg, South Africa
Univ Stellenbosch, Dept Math Sci, ZA-7602 Matieland, South AfricaUniv Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco