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Generalized ρ-Almost Periodic Sequences and Applications
Fractal and Fractional, 2023 In this paper, we analyze the Bohr ρ-almost periodic type sequences and the generalized ρ-almost periodic type sequences of the form F:I×X→Y, where ∅≠I⊆Zn, X and Y are complex Banach spaces and ρ is a general binary relation on Y.
Marko Kostić +3 more
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Theoretical Computer Science, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexei Semenov
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Almost periodic random sequences in probability
Journal of Mathematical Analysis and Applications, 2007 The authors prove that a discrete version of almost periodic random sequences in probability solves a class of random difference equations.
Jialin Hong
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Applied Mathematics Letters, 2000 The aim of this paper is to characterize the existence of almost-periodic, asymptotically almost-periodic, and pseudo almost-periodic solutions to differential equations with piecewise constant argument of the form: \[ {dx\over dt}= f(t, x(t), x([t]), x([t- 1]),\dots, x([t- k])),\quad t\in J,\tag{1} \] where \(k\) is a positive integer, \(f\in C(J ...
Rafael Obaya, Jialin Hong
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Almost periodic random sequences in probability
Nonautonomous Dynamical Systems, 2017 Abstract This paper is concerned with almost periodic random sequences in probability. Some basic and fundamental properties of such sequences are established.
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Construction of almost periodic sequences with given properties
Electronic Journal of Differential Equations, 2008 We define almost periodic sequences with values in a pseudometric space X and we modify the Bochner definition of almost periodicity so that it remains equivalent with the Bohr definition.
Michal Vesely
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Almost Perfect Sequences and Periodic Complementary Sequence Pairs over the 16-QAM Constellation
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2012 SUMMARY Based on quadriphase perfect sequences and their cyclical shift versions, three families of almost perfect 16-QAM sequences are presented. When one of two time shifts chosen equals half a period of quadriphase sequence employed and another is zero, two of the proposed three sequence families possess the property that their out-of-phase ...
Guixin Xuan +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 We study limit periodic and almost periodic homogeneous linear difference systems. The coefficient matrices of the considered systems are taken from a given commutative group.
Martin Chvátal
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Rotation sets and almost periodic sequences [PDF]
Mathematische Zeitschrift, 2016 We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segments as well as non-convex and even plane-separating continua. This shows that restrictions holding for rotation sets on the whole torus are not valid on minimal sets.
Jäger, T., Passeggi, A., Štimac, Sonja
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Asymptotically almost periodic solutions of limit and almost periodic linear difference systems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite ...
Martin Chvátal
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