Adjoints of solution semigroups and identifiability of delay differential equations in Hilbert spaces.
Advanced differential equations with piecewise constant argument deviations.
Advances in UAS for functional differential equations.
Almost automorphic solutions of neutral functional differential equations.
Almost homoclinic solutions for a certain class of mixed type functional differential equations
We shall be concerned with the existence of almost homoclinic solutions for a class of second order functional differential equations of mixed type: , where t ∈ ℝ, q ∈ ℝⁿ and T>0 is a fixed positive number. By an almost homoclinic solution (to 0) we mean one that joins 0 to itself and q ≡ 0 may not be a stationary point. We assume that V and u are T-periodic with respect to the time variable, V is C¹-smooth and u is continuous. Moreover, f is non-zero, bounded, continuous and square-integrable....
Almost periodic solution of a diffusive mixed system with time delay and type III functional response.
Almost periodic solutions for a class of discrete systems with Allee-effect
In this paper, using Mawhin's continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of positive almost periodic solutions for a class of delay discrete models with Allee-effect.
Almost periodic solutions for higher-order Hopfield neural networks without bounded activation functions.
Almost periodic solutions of a discrete mutualism model with feedback controls.
Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays
A neutral impulsive system with a small delay of the argument of the derivative and another delay which differs from a constant by a periodic perturbation of a small amplitude is considered. If the corresponding system with constant delay has an isolated ω-periodic solution and the period of the delay is not rationally dependent on ω, then under a nondegeneracy assumption it is proved that in any sufficiently small neighbourhood of this orbit the perturbed system has a unique almost periodic solution....
Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)
The paper is the extension of the author's previous papers and solves more complicated problems. Almost periodic solutions of a certain type of almost periodic linear or quasilinear systems of neutral differential equations are dealt with.
Almost sure exponential stability of delayed cellular neural networks.
Almost sure exponential stability of neutral differential difference equations with damped stochastic perturbations.
Almost sure stability of linear Itô-Volterra equations with damped stochastic perturbations.
Almost sure subexponential decay rates of scalar Itô-Volterra equations.
Almost-periodic mild solutions to a class of partial functional-differential equations.
Almost-periodic solution for BAM neural networks.
Almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument.
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 existence result and its applications.