Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]
, 2006 The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Diagana, Toka
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Multi-dimensional (ω, c)-almost periodic type functions and applications
Nonautonomous 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.
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On the connection between Sp-almost periodic functions defined on time scales and ℝ
Open 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
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c-Almost periodic type functions and applications
Nonautonomous 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
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Dynamic equation on time scale with almost periodic coefficients
Nonautonomous 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
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Bohr's equivalence relation in the space of Besicovitch almost periodic functions [PDF]
, 2018 Based on Bohr's equivalence relation which was established for general Dirichlet series, in this paper we introduce a new equivalence relation on the space of almost periodic functions in the sense of Besicovitch, $B(\mathbb{R},\mathbb{C})$, defined in ...
Sepulcre, J. M., Vidal, T.
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(ω, c)- Pseudo almost periodic distributions
Nonautonomous 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
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Minkowski measurability results for self-similar tilings and fractals with monophase generators [PDF]
, 2012 In a previous paper [arXiv:1006.3807], the authors obtained tube formulas for certain fractals under rather general conditions. Based on these formulas, we give here a characterization of Minkowski measurability of a certain class of self-similar tilings
Lapidus, Michel L. +2 more
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Convolution on spaces of locally summable functions
Journal 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
On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz nor [PDF]
, 2003 The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm.
Bedouhene, Fazia, Morsli, Mohamed
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