Results 1 to 10 of about 30 (22)

Multi-dimensional (ω, c)-almost periodic type functions and applications

open access: yesNonautonomous Dynamical Systems, 2021
In this paper, we analyze various classes of multi-dimensional (ω, c)-almost periodic type functions with values in complex Banach spaces. The main structural properties and characterizations for the introduced classes of functions are presented.
Kostić M.
doaj   +1 more source

On the connection between Sp-almost periodic functions defined on time scales and ℝ

open access: yesOpen Mathematics, 2022
It is well known that a sufficient and necessary condition for a continuous function gg to be almost periodic on time scale T{\mathbb{T}} is the existence of an almost periodic function ff on R{\mathbb{R}} such that ff is an extension of gg.
Yang Hao, Li Hong-Xu
doaj   +1 more source

Semi-periodic solutions of difference and differential equations

open access: yesBoundary Value Problems, 2012
The spaces of semi-periodic sequences and functions are examined in the relationship to the closely related notions of almost-periodicity, quasi-periodicity and periodicity.
J. Andres, D. Pennequin
semanticscholar   +2 more sources

c-Almost periodic type functions and applications

open access: yesNonautonomous Dynamical Systems, 2020
In this paper, we introduce several various classes of c-almost periodic type functions and their Stepanov generalizations, where c ∈ ℂ and |c| = 1. We also consider the corresponding classes of c-almost periodic type functions depending on two variables
Khalladi M. T.   +4 more
doaj   +1 more source

Dynamic equation on time scale with almost periodic coefficients

open access: yesNonautonomous Dynamical Systems, 2020
In this paper, we discuss a nonautonomous dynamical equation on time scale in a Banach space. The nonautonomous case is particularly important and needs to be studied because it is frequently met in the mathematical models of evolutionary processes.
Abbas Syed
doaj   +1 more source

Existence of μ-Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Partial Evolution Equations

open access: yesJournal of Partial Differential Equations, 2018
In this paper, we use a recent works [5], where the authors provide a new approach for pseudo almost periodic solution under the measure theory, under AcquistpaceTerreni conditions, we make extensive use of interpolation spaces and exponential dichotomy ...
Baazaoui Riadh
semanticscholar   +1 more source

(ω, c)- Pseudo almost periodic distributions

open access: yesNonautonomous Dynamical Systems, 2020
The paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties.
Khalladi Mohammed Taha   +1 more
doaj   +1 more source

Convolution on spaces of locally summable functions

open access: yesJournal of Function Spaces, Volume 6, Issue 2, Page 187-203, 2008., 2008
In this work we prove the existence of convolution on Marcinkiewicz spaces 𝔐p(ℝ), 1 ≤ p < ∞, and, using pointwise approximate identities, we extend the classical definition of Hilbert transform to such spaces.
Federica Andreano   +2 more
wiley   +1 more source

The Bessel‐Struve intertwining operator on ℂ and mean‐periodic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3171-3185, 2004., 2004
We give a description of all transmutation operators from the Bessel‐Struve operator to the second‐derivative operator. Next we define and characterize the mean‐periodic functions on the space ℋ of entire functions and we characterize the continuous linear mappings from ℋ into itself which commute with Bessel‐Struve operator.
A. Gasmi, M. Sifi
wiley   +1 more source

Diophantine approximations and almost periodic functions

open access: yesDemonstratio Mathematica, 2017
In this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type ...
Nawrocki Adam
doaj   +1 more source

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