On the relationship of Cm $C^{m}$-almost periodicity on R $\mathbb {R}$ and time scales [PDF]
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
On almost sure asymptotic periodicity for scalar stochastic difference equations [PDF]
Advances in Difference Equations, 2017 We consider a perturbed linear stochastic difference equation 1 X ( n + 1 ) = a ( n ) X ( n ) + g ( n ) + σ ( n ) ξ ( n + 1 ) , n = 0 , 1 , … , X 0 ∈ R , $$ X(n+1)=a(n)X(n)+g(n)+\sigma(n)\xi(n+1), \quad n=0, 1, \dots, \qquad X_{0}\in\mathbb{R}, $$ with ...
Alexandra Rodkina, Eeva Rapoo
doaj +2 more sources
Quasicrystals and Almost Periodicity [PDF]
Communications in Mathematical Physics, 2005 We introduce a topology ${\cal T}$ on the space $U$ of uniformly discrete subsets of the Euclidean space. Assume that $S$ in $U$ admits a unique autocorrelation measure. The diffraction measure of $S$ is purely atomic if and only if $S$ is almost periodic in $(U,{\cal T})$. This result relates idealized quasicrystals to almost periodicity.
Gouéré, Jean-Baptiste
openaire +4 more sources
Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents, Part II [PDF]
Mathematics, 2020 In this paper, we introduce and analyze several different notions of almost periodic type functions and uniformly recurrent type functions in Lebesgue spaces with variable exponent L p ( x ) .
Marko Kostić, Wei-Shih Du
doaj +2 more sources
Generalized Almost Periodicity in Measure [PDF]
MathematicsThis paper investigates diverse classes of multidimensional Weyl and Doss ρ-almost periodic functions in a general measure setting. This study establishes the fundamental structural properties of these generalized ρ-almost periodic functions, extending ...
Marko Kostić +3 more
doaj +2 more sources
Morphisms and almost-periodicity [PDF]
Discrete Applied Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maes, Arnaud
openaire +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 +4 more sources
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
openaire +3 more sources
Asymptotic Almost-Periodicity for a Class of Weyl-Like Fractional Difference Equations [PDF]
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
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 +3 more sources