Let {T (t)} t≥0 be a C-semigroup on a Banach space X with generator A. We will investigate the asymptotic almost periodicity of {T (t)} via the Hille-Yosida space of its generator.

In this note, we establish the existence of asymptotically almost periodic and almost periodic solutions for a class of partial integrodifferential equations.

Imagine a simulated world where the characters you interact with are almost human – they converse with you in English, they understand the world they are in, can reason about what to do, and they exhibit emotions. Some of these characters may be your friends, while others will oppose you. Unlike current video games, being successful in this world won’t just be a matter of who is quickest on the...

A novel multiple scales method is formulated that can be applied to problems which have an almost periodic microstructure not in Cartesian coordinates but in a general curvilinear coordinate system. The method is applied to a model of the electrical activity of cardiac myocytes and used to derive a version of the bidomain equations describing the macroscopic electrical activity of cardiac tissu...

By means of the Cauchy matrix we give sufficient conditions for the existence and exponential stability of almost periodic solutions for the delay impulsive Lasota–Wazewska model. The impulses are realized at fixed moments of time.

In this paper, we introduce soft complete continuity as a strong form of and continuity. Several characterizations, compositions, restriction theorems are obtained. Moreover, several preservation regarding compactness, Lindelofness, connectedness, regularity, normality, almost mild near paracompactness, metacompactness addition to these, the study deals with correlation between our new concepts...

Abstract The aim of this paper is to study the estimation of repair efficiency in an imperfect repair model, called Arithmetic Reduction of Intensity model with memory one (ARI1). This model, first introduced by Doyen and Gaudoin, has a very simple failure intensity and repair efficiency is characterized by a single parameter. Thanks to that simplicity, the asymptotic almost sure behavior of th...

Using the results of several extremely large recent computations [17] we tested positively the normality of a prefix of roughly four trillion hexadecimal digits of π. This result was used by a Poisson process model of normality of π: in this model, it is extraordinarily unlikely that π is not asymptotically normal base 16, given the normality of its initial segment.