Results 21 to 30 of about 554,389 (270)

Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales

Abstract and Applied Analysis, 2011
Firstly, we propose a concept of uniformly almost periodic functions on almost periodic time scales and investigate some basic properties of them. When time scale T=ℝ or ℤ, our definition of the uniformly almost periodic functions is equivalent to the ...
Yongkun Li, Chao Wang
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On the relationship of Cm $C^{m}$-almost periodicity on R $\mathbb {R}$ and time scales

Advances in Difference Equations, 2018
In this paper, we improve the concept of Cm $C^{m}$-almost periodicity on periodic time scales. The concept is based on the revised definition of almost periodicity introduced by Wang and Agarwal in 2015.
Yan Wang
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Almost Periodic Functions and Their Applications: A Survey of Results and Perspectives

Journal of Mathematics, 2021
The main aim of this survey article is to present several known results about vector-valued almost periodic functions and their applications. We separately consider almost periodic functions depending on one real variable and almost periodic functions ...
Wei-Shih Du, Marko Kostić, Manuel Pinto
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A matched space for time scales and applications to the study on functions

Advances in Difference Equations, 2017
In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational ...
Chao Wang, Ravi P Agarwal, Donal O’Regan   +2 more
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Characterizations of vector-valued weakly almost periodic functions

International Journal of Mathematics and Mathematical Sciences, 2003
We characterize the weak almost periodicity of a vector-valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left ...
Chuanyi Zhang
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Vector-valued means and weakly almost periodic functions

International Journal of Mathematics and Mathematical Sciences, 1994
A formula is set up between vector-valued mean and scalar-valued means that enables us translate many important results about scalar-valued means developed in [1] to vector-valued means.
Chuanyi Zhang
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Weighted pseudo-almost periodic functions on time scales with applications to cellular neural networks with discrete delays

, 2015
In this paper, we first propose a concept of weighted pseudo-almost periodic functions on time scales and study some basic properties of weighted pseudo-almost periodic functions on time scales.
Li, Yongkun, Zhao, Lili
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Multi-almost periodicity and invariant basins of general neural networks under almost periodic stimuli

, 2009
In this paper, we investigate convergence dynamics of $2^N$ almost periodic encoded patterns of general neural networks (GNNs) subjected to external almost periodic stimuli, including almost periodic delays.
Berman, Brucoli, Cao, Cao, Cao, Carbone, Chen, Chen, Cheng, Cheng, Chua, Chua, Civalleri, Demir, Fang, Feng, Feng, Fink, Forti, Forti, Forti, Foss, Gilli, Gilli, Gopalsamy, Gopalsamy, Guo, He, Hopfield, Horn, Huang, Huang, Huang, Huang, Huang, Huang, Huang, Jiang, Juang, Lanza, Liao, Liu, Liu, Lu, Lu, Mohamad, Petras, Petrás, Roska, Shayer, Shih, Shih, Song, Takhashi, Zeng, Zhao, Zhao   +56 more
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Some Aspects in n-dimensional almost Periodic functions iii

Revista de Matemática: Teoría y Aplicaciones, 2011
The properties of almost periodical functions and some new results have been published in [CA1], [CA2] and [CA3] In this paper we show some new definitions in order to analize some singularities.
Vernor Arguedas Troyo, Edwin Castro
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Multi-dimensional (ω, c)-almost periodic type functions and applications

Nonautonomous Dynamical Systems, 2021
In this paper, we analyze various classes of multi-dimensional (ω, c)-almost periodic type functions with values in complex Banach spaces. The main structural properties and characterizations for the introduced classes of functions are presented.
Kostić M.
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