Almost periodicity and discrete almost periodicity in semiflows [PDF]
Mathematical Communications, 2011 A theory of semiflows with a discrete acting topological semigroup was developed in the 2000 paper by D. Ellis, R. Ellis and M. Nerurkar ([2]). A theory for the case of an arbitrary acting topological semigroup has still to be developed. This paper can be considered as the beginning of an attempt in that direction.
Alica Miller, Miller, Alica
core +3 more sources
On the relationship of Cm $C^{m}$-almost periodicity on R $\mathbb {R}$ and time scales
Advances in Difference Equations, 2018 In this paper, we improve the concept of Cm $C^{m}$-almost periodicity on periodic time scales. The concept is based on the revised definition of almost periodicity introduced by Wang and Agarwal in 2015.
Yan Wang
doaj +2 more sources
Almost Periodicity in Chaos [PDF]
The interdisciplinary journal of Discontinuity, Nonlinearity and Complexity, 2018 21 pages, 7 ...
AKHMET, MARAT, Fen, Mehmet Onur
openaire +5 more sources
Existence of $S^2$-almost periodic solutions to a class of nonautonomous stochastic evolution equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2008 The paper studies the notion of Stepanov almost periodicity (or $S^2$-almost periodicity) for stochastic processes, which is weaker than the notion of quadratic-mean almost periodicity.
P. Bezandry, Toka Diagana
doaj +3 more sources
Asymptotic Almost-Periodicity for a Class of Weyl-Like Fractional Difference Equations
Mathematics, 2019 This work deal with asymptotic almost-periodicity of mild solutions for a class of difference equations with a Weyl-like fractional difference in Banach space.
Junfei Cao, Amar Debbouche, Yong Zhou
doaj +2 more sources
Strong Stability and Asymptotical Almost Periodicity of Volterra Equations in Banach Spaces [PDF]
Advances in Difference Equations, 2011 We study strong stability and asymptotical almost periodicity of solutions to abstract Volterra equations in Banach spaces. Relevant criteria are established, and examples are given to illustrate our results.
Xiao Ti-Jun, Chen Jian-Hua
doaj +3 more sources
Existence of generalized almost periodic and asymptotic almost periodic solutions to abstract Volterra integro-differential equations [PDF]
Electronic Journal of Differential Equations, 2017 The main aim of this paper is to study the asymptotic almost periodicity, Stepanov almost periodicity, and asymptotic Stepanov almost periodicity of various classes of regularized solution operator families appearing in the theory of abstract Volterra
Marko Kostic
doaj +4 more sources
Abstract almost periodicity for group actions on uniform topological spaces [PDF]
, 2022 We present a unified theory for the almost periodicity of functions with values in an arbitrary Banach space, measures and distributions via almost periodic elements for the action of a locally compact abelian group on a uniform topological space.
Spindeler, Timo +5 more
core +2 more sources
Almost periodic and asymptotically almost periodic functions: part I [PDF]
Advances in Difference Equations, 2018 In this paper, we review indispensable properties and characterizations of almost periodic functions and asymptotically almost periodic functions in Banach spaces. Special accent is put on the Stepanov generalizations of almost periodic functions and asymptotically almost periodic functions.
Dhaou Lassoued, Rahim Shah, Tongxing Li
openaire +2 more sources
On Almost periodicity and minimality for semiflows [PDF]
, 2023 In topological dynamics, the dynamical behavior sometimes has a sharp contrast when the action is by semigroups or monoids to when the action is by groups.
Nagar, Anima, Auslander, Joseph
core +1 more source