Almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay.
Almost periodic solutions of prey-predator discrete models with delay.
Existence of periodic and almost periodic solutions of abstract retarded functional difference equations in phase spaces.
Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm
We investigate which points in the unit sphere of the Besicovitch--Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points. Sufficient conditions for the strict convexity of this space are also given.
Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays
By using the semi-discrete method of differential equations, a new version of discrete analogue of stochastic shunting inhibitory cellular neural networks (SICNNs) is formulated, which gives a more accurate characterization for continuous-time stochastic SICNNs than that by Euler scheme. Firstly, the existence of the 2th mean almost periodic sequence solution of the discrete-time stochastic SICNNs is investigated with the help of Minkowski inequality, Hölder inequality and Krasnoselskii's fixed...