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Almost periodic Harmonizable processes
Georgian Mathematical Journal, 1996The 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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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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Periodicity and Almost-Periodicity
2006Periodicity 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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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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