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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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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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Periodic and Almost Periodic Motions
1967By Def. 38.1 a motion described by p(t, a, t0) is called periodic with period ω if for all t ≥ t0 the relation $$ {\rm{ }}(t{\rm{ }} + {\rm{ }}\omega ,{\rm{ }}a, {t_0}){\rm{ }} = {\rm{ }}p{\rm{ }}(t,{\rm{ }}a, {t_0}) $$ (71.1) is satisfied.
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Asymptotically almost periodic solutions of an almost periodic system
Funkcialaj Ekvacioj, 1969openaire +2 more sources
Almost periodicity of set-valued functions and set dynamic equations on time scales
Information Sciences, 2016Shihuang Hong, Yingzi Peng
exaly
Almost periodicity in Fréchet spaces
Journal of Mathematical Analysis and Applications, 2004Gaston N'Guerekata, Dariusz Bugajewski
exaly

