First order integro-differential equations in Banach algebras involving Carathéodory and discontinuous nonlinearities.
Fixed point theorem in uniform spaces and applications
Fractional integro-differential inclusions with state-dependent delay
In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.
Functional differential equations of mixed type in Banach spaces
Functional differential equations with infinite delay in Banach spaces.
Functional equations of delay type in spaces
Functional evolution equations with nonconvex lower semicontinuous multivalued perturbations.
Functional integro-differential stochastic evolution equations in Hilbert space.
Fundamental operator-functions of degenerate differential and difference-differential operators in Banach spaces which have a Noether operator in the principal part.
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.
Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
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
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.
Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions
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.
Impulsive functional-differential equations with nonlocal conditions.
Impulsive semilinear neutral functional differential inclusions with multivalued jumps
In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
Initial and Boundary Value Problems for Functional Differential Equations via the Topological Transversality Method: A Survey
Initial boundary value problems for second order impulsive functional differential inclusions.
Integral manifold of the parabolic differential equation with deviating argument