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Almost periodic processes and the existence of almost periodic solutions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 1998 Some property which is equivalent to the concept of an asymptotically almost periodic integral for almost periodic processes is introduced. By using this property, it is shown that a precompact integral of almost periodic processes which is uniformly ...
Y. Hino, Satoru Murakami
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Almost periodic and asymptotically almost periodic functions: part I
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.
Dhaou Lassoued, Rahim Shah, Tongxing Li
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Almost periodic functions on Hausdorff almost periodic time scales [PDF]
Advances in Difference Equations, 2017 This paper is devoted to generalizing the notion of almost periodic functions on time scales. We introduce a new class of almost periodic time scales called Hausdorff almost periodic time scales by using the Hausdorff distance and propose a more general ...
Desheng Ji, Liu Yang, Jimin Zhang
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Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions [PDF]
Advances in Difference Equations, 2011 We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained.
Hui-Sheng Ding, Wei Long
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Investigation for periodic and almost periodic solutions of first-order ordinary differential equations [PDF]
E3S Web of Conferences, 2023 Approaches to estimating for the number of periodic and almost periodic solutions of ordinary differential equations are considered. Conditions that allow determinating both the upper and lower bounds for these solutions are found.
Alferov G., Ivanov G., Korolev V.
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Almost periodic functions, constructively [PDF]
Logical Methods in Computer Science, 2005 The almost periodic functions form a natural example of a non-separable normed space. As such, it has been a challenge for constructive mathematicians to find a natural treatment of them.
Bas Spitters
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On the connection between Sp-almost periodic functions defined on time scales and ℝ
Open Mathematics, 2022 It is well known that a sufficient and necessary condition for a continuous function gg to be almost periodic on time scale T{\mathbb{T}} is the existence of an almost periodic function ff on R{\mathbb{R}} such that ff is an extension of gg.
Yang Hao, Li Hong-Xu
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Positive almost periodic type solutions to a class of nonlinear difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper is concerned with positive almost periodic type solutions to a class of nonlinear difference equation with delay. By using a fixed point theorem in partially ordered Banach spaces, we establish several theorems about the existence and ...
Huisheng Ding +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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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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