A class of singularly perturbed evolution systems.
A compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.
A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations.
A note on a semilinear fractional differential equation of neutral type with infinite delay.
A note on the periods of periodic solutions of some autonomous functional differential equations.
A singular perturbation problem in integrodifferential equations.
A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative.
A system of abstract measure delay differential equations.
A viability result for nonconvex semilinear functional differential inclusions
We establish some sufficient conditions in order that a given locally closed subset of a separable Banach space be a viable domain for a semilinear functional differential inclusion, using a tangency condition involving a semigroup generated by a linear operator.
Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations.
Adjoints of solution semigroups and identifiability of delay differential equations in Hilbert spaces.
Almost automorphic solutions of neutral functional differential equations.
Almost-periodic mild solutions to a class of partial functional-differential equations.
An abstract Cauchy problem for higher order functional differential inclusions with infinite delay
The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our results. An application to some classes of partial differential equations is given.
An abstract nonlinear second order differential equation
By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
An existence result for impulsive functional differential inclusions in Banach spaces
We use the topological degree theory for condensing multimaps to present an existence result for impulsive semilinear functional differential inclusions in Banach spaces. Moreover, under some additional assumptions we prove the compactness of the solution set.
An existence result for neutral functional differential inclusions in a Banach space.
An existence result for second-order impulsive differential equations with nonlocal conditions.
An existence theorem for semilinear functional parabolic equations
Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations
MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37In this paper we prove the existence of solutions for fractional impulsive differential equations with antiperiodic boundary condition in Banach spaces. The results are obtained by using fractional calculus' techniques and the fixed point theorems.