Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations

T Diagana - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
The paper revisits the concept of Sp-pseudo-almost periodicity recently introduced by the
author. In particular, we study the existence of pseudo-almost periodic solutions to some …

Existence of pseudo-almost automorphic solutions to some abstract differential equations with Sp-pseudo-almost automorphic coefficients

T Diagana - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
This paper introduces and studies the notion of Sp-pseudo-almost automorphy (or Stepanov-
like pseudo-almost automorphy), which generalizes in a natural fashion the concept of …

Almost automorphic functions on semigroups induced by complete-closed time scales and application to dynamic equations.

C Wang, RP Agarwal - Discrete & Continuous Dynamical …, 2020 - search.ebscohost.com
In this paper, we introduce the concepts of Bochner and Bohr almost automorphic functions
on the semigroup induced by complete-closed time scales and their equivalence is proved …

Besicovitch almost automorphic stochastic processes in distribution and an application to Clifford-valued stochastic neural networks

Y Li, X Wang, N Huo - … in Nonlinear Science and Numerical Simulation, 2022 - Elsevier
In this paper, firstly, the concept of Besicovitch almost automorphic stochastic processes in
distribution is proposed, and some basic properties and relations with concepts of almost …

Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations

YK Chang, ZH Zhao, GM N'Guérékata, R Ma - Nonlinear Analysis: Real …, 2011 - Elsevier
In this paper, we introduce a new concept of Stepanov-like almost automorphy (orS2-almost
automorphy) for stochastic processes. We use the results obtained to investigate the …

[HTML][HTML] Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations

YK Chang, R Zhang, GM N'Guérékata - Computers & Mathematics with …, 2012 - Elsevier
This paper is concerned with the existence and uniqueness of a weighted pseudo almost
automorphic mild solution to the semilinear fractional equation: Dtαu (t)= Au (t)+ Dtα− 1f (t, u …

Weighted Stepanov-like pseudo almost automorphy and applications

Z Xia, M Fan - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
In this paper, we propose a new class of functions called weighted Stepanov-like pseudo
almost automorphic functions, which generalize in a natural fashion the concept of almost …

New composition theorems of Stepanov-like weighted pseudo almost automorphic functions and applications to nonautonomous evolution equations

R Zhang, YK Chang, GM N'Guérékata - Nonlinear Analysis: Real World …, 2012 - Elsevier
In this paper, we establish some new composition theorems for Stepanov-like weighted
pseudo almost automorphic functions. We then apply the obtained results to investigate the …

Some properties of Stepanov-like almost automorphic functions and applications to abstract evolution equations

HS Ding, J Liang, TJ Xiao - Applicable Analysis, 2009 - Taylor & Francis
This article is concerned with some properties of Stepanov-like almost automorphic (S p-aa)
functions. We establish a composition theorem about S p-aa functions, and with its help …

STEPANOV-LIKE PSEUDO ALMOST PERIODIC FUNCTIONS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS.

T Diagana - Communications in Mathematical Analysis, 2007 - search.ebscohost.com
This paper introduces and examines a new class of functions called Stepanov-like pseudo
almost periodic functions (or S< sup> p-pseudo almost periodic functions), which …