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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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Some Properties of Weighted Pseudo almost Periodic Functions [PDF]
Abstract and Applied Analysis, 2013 Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost
Zhe-Ming Zheng +2 more
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Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays [PDF]
Journal of Inequalities and Applications, 2017 The shunting inhibitory cellular neural networks with continuously distributed delays and pseudo almost periodic coefficients are considered. First, we make a generalization of the Halanay inequality, and then establish some sufficient conditions for the
Yueming Lu, Desheng Ji
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Abstract and Applied Analysis, 2022 The primary aim of this work is to introduce a new class of functions called μ-ω,c-pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those μ-ω,c-pseudo-almost ...
James Larrouy, Gaston M. N’Guérékata
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Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2007 The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, some sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Toka Diagana
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Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays [PDF]
Journal of Inequalities and Applications, 2018 This paper is concerned with a class of quaternion-valued cellular neural networks with discrete and distributed delays. By using the exponential dichotomy of linear systems and a fixed point theorem, sufficient conditions are derived for the existence ...
Xiaofang Meng, Yongkun Li
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Square-mean pseudo almost periodic solutions of class r under the light of measure theory [PDF]
European Journal of Mathematics and Applications, 2022 The aim of this work is to present new concept of square-mean pseudo almost periodic of class $r$ using the measure theory. We use the $(\mu,\nu) $-ergodic process to define the spaces of $(\mu,\nu)$-pseudo almost periodic processes of class $r$ in the ...
Mohamado Kiema, Issa Zabsonre
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Pseudo almost periodicity for stochastic differential equations in infinite dimensions
Electronic Journal of Differential Equations, 2023 In this article, we introduce the concept of p-mean θ-pseudo almost periodic stochastic processes, which is slightly weaker than p-mean pseudo almost periodic stochastic processes.
Ye-Jun Chen, Hui-Sheng Ding
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Cubo, 2021 In this paper we give sufficient conditions on $k\in L^1(\mathbb{R})$ and the positive measures $\mu$, $\nu$ such that the doubly-measure pseudo-almost periodic (respectively, doubly-measure pseudo-almost automorphic) function spaces are invariant by the
David Békollè +4 more
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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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