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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 +2 more
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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 +2 more
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Almost Periodic Solutions for Stepanov-Almost Periodic Differential Equations
Differential Equations and Dynamical Systems, 2013The 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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Stepanov Almost Periodically Correlated and Almost Periodically Unitary Processes
Theory of Probability & Its Applications, 1997Summary: 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 of a discrete almost periodic logistic equation with delay
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong Li 0003, Maoan Han, Fengde Chen
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Nonresonance Conditions for the Existence of Almost Periodic Solutions of Almost Periodic Systems
SIAM Journal on Applied Mathematics, 1971For complex systems of the form \[ x' = Ax + \varepsilon g( {t,x,\varepsilon } ) , \] where A is a square matrix, g is analytic in the components of x and almost periodic in t, and $\varepsilon $ is a complex parameter, we give conditions on the Fourier exponents of g and the eigenvalues of A such that for $\| \varepsilon |$ sufficiently small, the ...
Fink, A. M., Seifert, G.
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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 +2 more
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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 +2 more
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Holomorphic Almost-Periodic Functions
Acta Applicandae Mathematica, 2001This 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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On Distributions That Are Almost Periodic at Infinity
Journal of Mathematical Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On P systems and almost periodicity
Fundam. Informaticae, 2005Summary: The study of P systems as a mathematical model for biological systems is an important research topic in the area of membrane computing. In this respect, the detection of periodicity and almost periodicity as aspects of the system dynamics seems to be of particular relevance for understanding many biological processes and their related ...
BERNARDINI F. +2 more
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Almost periodicity and stability for solutions to networks of beams with structural damping
Discrete and Continuous Dynamical Systems - Series S, 2023Ahmed Bchatnia, Karim El Mufti
exaly