Global Attractor for a Class of Parabolic Equations with Infinite Delay
We prove the existence of a compact connected global attractor for a class of abstract semilinear parabolic equations with infinite delay.
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Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
Abdessalam Baliki, Mouffak Benchohra (2014)
Nonautonomous Dynamical Systems
In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Global existence results for second order neutral functional differential equation with state-dependent delay
Mouffak Benchohra, Imene Medjadj (2016)
Commentationes Mathematicae Universitatis Carolinae
Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.
Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory.
Hetzer, Georg (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions
Eduardo Hernández M., Hernán R. Henríquez (2004)
Annales Polonici Mathematici
By using the theory of strongly continuous cosine families and the properties of completely continuous maps, we study the existence of mild, strong, classical and asymptotically almost periodic solutions for a functional second order abstract Cauchy problem with nonlocal conditions.
Global solutions for abstract functional differential equations with nonlocal conditions.
Hernandez, E., Aki, Sueli M.Tanaka (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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