Results 291 to 300 of about 188,178 (326)

Almost-Periodic Multipliers

Acta Applicandae Mathematica, 2001
Let \((\sigma_m(x))_{m\in\mathbb{N}}\) be the sequence of Bochner sums of the generalized trigonometric series \[ \sum_{\lambda\in\Lambda} a_\lambda e^{i\lambda x},\tag{\(*\)} \] where the spectrum \(\Lambda\) is a countable set in \(\mathbb{R}\). Among else it is shown \((*)\) is the Bohr-Fourier series of a function \(f\) in the space \(S^p(\mathbb{R}
Bruno, Giordano, Grande, Renato, Iannacci, Rita   +2 more
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Stepanov Almost Periodically Correlated and Almost Periodically Unitary Processes

Theory of Probability & Its Applications, 1997
Summary: This paper extends the structure and properties of almost periodically correlated (APC) and almost periodically unitary (APU) processes, which are defined in the sense of Bohr, to a larger class of processes for which the sense of almost periodicity is that of Stepanov.
Hurd, H. L., Russek, A.
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Almost Periodic Solutions for Stepanov-Almost Periodic Differential Equations

Differential Equations and Dynamical Systems, 2013
The paper considers the following differential equations in a Banach space \[ \displaylines{u^{(n)}(t) = Au(t) + f(t)\;,\;u^{(n)}(t) = Au(t) + f(t,u(t))\cr u'(t) = Au(t) + f(t)\;,\;u'(t) = Au(t) + f(t,u(t))} \] with \(A\) either a bounded linear operator or the infinitesimal generator of an exponentially stable continuous semigroup; \(f:\mathbb{R ...
Maqbul, Md., Bahuguna, D.
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Holomorphic Almost-Periodic Functions

Acta Applicandae Mathematica, 2001
This is a survey paper concerning results on holomorphic almost-periodic functions and mappings in one and several complex variables, up today, with special attention payed to the achievements of the Kharkov school. There are presented results concerning almost-periodic distributions and currents, a.p. holomorphic chains and divisors, extension of a.p.
Favorov, S. Yu., Rashkovskii, A. Yu.
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Minimally Almost Periodic Groups

The Annals of Mathematics, 1940
Given a group g it is of some interest to decide which elements of g can be “told apart” by almost periodic functions of g or, which is the same thing (cf. below) by finite dimensional bounded linear representations of g. That is: For two a, b ∈ g we define a ~ b by either of these two properties: (I) For every almost periodic function f(x) in g
von Neumann, J., Wigner, Eugene P.
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Almost periodic Harmonizable processes

Georgian Mathematical Journal, 1996
The classical uniform almost periodic (a.p.) functions have been generalized, by omitting the continuity hypothesis, into Stepanov, Weyl and Besicovitch a.p. functions and a comprehensive account of these appears in \textit{A. S. Besicovitch}'s book [``Almost periodic functions'' (1932; Zbl 0004.25303)].
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Asymptotically almost periodic, almost periodic and pseudo-almost periodic mild solutions for neutral differential equations

Nonlinear Analysis: Real World Applications, 2010
Results concerning existence and uniqueness of almost periodic, asymptotically almost periodic, and pseudo-almost periodic mild solutions are provided for the following neutral differential equation in a Banach space \(X\) \[ \frac{d}{dt}\;u(t)=Au(t) + \frac{d}{dt}\;F_1(t, u(h_1(t))) + F_2(t,u(h_2(t))), \quad t\in \mathbb{R}, \] where \(A\) is the ...
Zhao, Zhi-Han, Chang, Yong-Kui, Li, Wen-Sheng   +2 more
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Periodicity and Almost-Periodicity

2006
Periodicity and almost-periodicity are phenomena which play an important role in most branches of mathematics and in many other sciences. This is a survey paper1 on my work in this area and on related work. I restrict myself to periodicity questions in combinatorics on words (the main dish), but I start with a periodicity problem from number theory ...
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Almost Periodicity in Impulsive Fractional-Order Reaction–Diffusion Neural Networks With Time-Varying Delays

IEEE Transactions on Cybernetics, 2021
Jinde Cao, Gani Stamov, Ivanka M Stamova
exaly  

Almost periodicity and stability for solutions to networks of beams with structural damping

Discrete and Continuous Dynamical Systems - Series S, 2023
Ahmed Bchatnia
exaly