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Asymptotically Almost Periodic Solutions of an Almost Periodic System

Asymptotically Almost Periodic Solutions of an Almost Periodic System
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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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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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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 periodicity in Fréchet spaces [PDF]

Journal of Mathematical Analysis and Applications, 2004
In this paper we deal with almost periodic functions with values in a Fréchet space. We apply obtained results to prove the existence of solutions of the initial value problem as well as the Volterra integral equation in this class of functions.
Gaston N'Guerekata, Dariusz Bugajewski
exaly   +2 more sources

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 periodic solutions of a discrete almost periodic logistic equation with delay

Applied Mathematics and Computation, 2014
zbMATH 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, 1971
For 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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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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On P systems and almost periodicity

Fundam. Informaticae, 2005
Summary: 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., GHEORGHE M., MANCA, Vincenzo   +2 more
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