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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 [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.
Dhaou Lassoued, Rahim Shah, Tongxing Li
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Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations [PDF]
Discrete & Continuous Dynamical Systems - B, 2011 The aim of this paper is to study the almost periodic and asymptotically almost periodic solutions on (0,+1) of the Li´enard equation x′′ + f(x)x′ + g(x) = F(t), where F : T !
B. A. Shcherbakov +16 more
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Almost Periodic Time Scales and Almost Periodic Functions on Time Scales [PDF]
Journal of Applied Mathematics, 2015 We propose some new concepts of almost periodic time scales and almost periodic functions on time scales and give some basic properties of these new types of almost periodic time scales and almost periodic functions on time scales.
Yongkun Li, Bing Li
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Almost periodic functions on Hausdorff almost periodic time scales
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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Weakly Almost Periodic Flows [PDF]
Transactions of the American Mathematical Society, 1989 The notion of the enveloping semigroup of a flow is applied to some situations in ergodic theory. In particular, weakly almost periodic functions on groups are studied and Moore’s ergodic theorem is proved.
Ellis, R., Nerurkar, M.
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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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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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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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Holomorphic semi-almost periodic functions [PDF]
, 2009 We study the Banach algebras of bounded holomorphic functions on the unit disk whose boundary values, having, in a sense, the weakest possible discontinuities, belong to the algebra of semi-almost periodic functions on the unit circle. The latter algebra
Brudnyi, A., Kinzebulatov, D.
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