Results 1 to 10 of about 1,128,663 (304)
Impulsive Fractional Cohen-Grossberg Neural Networks: Almost Periodicity Analysis [PDF]
Fractal and Fractional, 2021 In this paper, a fractional-order Cohen–Grossberg-type neural network with Caputo fractional derivatives is investigated. The notion of almost periodicity is adapted to the impulsive generalization of the model.
Ivanka Stamova +3 more
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A NEW APPROACH TO ALMOST PERIODICITY [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1962 S Bochner
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Almost periodic and asymptotically almost periodic functions: part I [PDF]
Advances in Difference Equations, 2018 In this paper, we review indispensable properties and characterizations of almost periodic functions and asymptotically almost periodic functions in Banach spaces. Special accent is put on the Stepanov generalizations of almost periodic functions and asymptotically almost periodic functions.
Dhaou Lassoued, Rahim Shah, Tongxing Li
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Almost periodic generalized solutions of differential equations [PDF]
Mathematica Bohemica, 2021 The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions. Conditions on the existence of generalized solutions are given.
Chikh Bouzar, Fethia Ouikene
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Almost periodic processes and the existence of almost periodic solutions
Electronic Journal of Qualitative Theory of Differential Equations, 1998 The authors state an existence theorem for almost-periodic solutions to some almost-periodic evolution equations. For this, they discuss some stability notions for processes. An equivalence relation with respect to the separation condition and some stability condition are given. As example the authors study a wave equation.
Hino, Y., Murakami, Satoru
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DEFINITIONS OF ALMOST PERIODICITY [PDF]
Far East Journal of Mathematical Sciences (FJMS), 2017 18 ...
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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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Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents
Mathematics, 2020 In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents.
Marko Kostić, Wei-Shih Du
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Limit periodic linear difference systems with coefficient matrices from commutative groups
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, limit periodic and almost periodic homogeneous linear difference systems are studied. The coefficient matrices of the considered systems belong to a given commutative group.
Petr Hasil, Michal Veselý
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Cocycles and Almost Periodicity [PDF]
Journal of the London Mathematical Society, 1987 Let G be a compact abelian group containing, as a dense subgroup, the image of \({\mathbb{R}}\) by a continuous injective homomorphism, say \(\alpha\). A cocycle on G is defined here as a unitary \((=\) of modulus 1) continuous function on \(G\times {\mathbb{R}}\) satisfying the identity \(Y(g,s+t)=Y(g,s)Y(g+\alpha (s),t)\). A cocycle is called trivial
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