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Open Mathematics, 2018 In this paper, we introduce the concept of Sp-pseudo almost periodicity on time scales and present some basic properties of it, including the translation invariance, uniqueness of decomposition, completeness and composition theorem.
Tang Chao-Hong, Li Hong-Xu
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Almost automorphic and pseudo almost periodic solutions to damped Euler–Lagrange equations
Examples and CounterexamplesThis paper investigates the existence of almost automorphic, asymptotically almost automorphic, pseudo almost automorphic, and pseudo almost periodic solutions to damped Euler–Lagrange equations.
Bouadi Abdelkader +2 more
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Pseudo Almost Periodic Sequence Solutions of Discrete Time Cellular Neural Networks [PDF]
Nonlinear Analysis, 2009 In this paper we discuss the existence and uniqueness of a k-pseudo almost periodic sequence solutions of a discrete time neural network. We give several sufficient conditions for the exponential and global attractivity of the solution.
S. Abbas
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Electronic Journal of Differential Equations, 2011 First we show that if the doubly-weighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum of that function.
Toka Diagana
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Pseudo-almost periodic solutions for first-order neutral differential equations
Advances in Difference Equations, 2018 In this paper, we study a class of first-order neutral differential equations with time-varying delays and coefficients. Employing the fixed point method and differential inequality techniques, easily verifiable delay-independent criteria are established
Yuehua Yu, Shuhua Gong
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Weighted Pseudo Almost-Periodic Functions and Applications to Semilinear Evolution Equations [PDF]
Abstract and Applied Analysis, 2012 We first give a solution to a key problem concerning the completeness of the space of weighted pseudo almost-periodic functions and then establish a new composition theorem with respect to these functions.
Jun Zhang, Ti-Jun Xiao, Jin Liang
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Pseudo almost periodic dynamical behaviors of hematopoiesis model
Ukrains’kyi Matematychnyi ZhurnalUDC 517.929, 517.518 We present a hematopoiesis model with nonlinear harvesting terms. By using the fixed-point theorem and constructing suitable Lyapunov functionals, we establish new sufficient criteria required to guarantee the existence and ...
Mohammed Zarhouni, Mohamed Zitane
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Existence and uniqueness of pseudo almost periodic solutions for Lienard-type systems with delays
Electronic Journal of Differential Equations, 2016 This article concerns Lienard-type systems with time-varying delays. By applying the theory of exponential dichotomies, the properties of pseudo almost periodic function, inequality analysis techniques, and contraction mapping principle, new criteria ...
Changjin Xu, Maoxin Liao
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Stepanov pseudo almost periodic functions and applications [PDF]
Mathematical Methods in the Applied Sciences, 2020 In this work, we present basic results and applications of Stepanov pseudo almost periodic functions with measure. Using only the continuity assumption, we prove a new composition result of $\mu$-pseudo almost periodic functions in Stepanov sense. Moreover, we present different applications to semilinear differential equations and inclusions in Banach ...
Kamal Khalil, Marko Kostic, Manuel Pinto
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Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations
Electronic Journal of Differential Equations, 2010 In this work, we give sufficient conditions for the existence and uniqueness of a weighted pseudo-almost periodic solutions for some neutral partial functional differential equations.
Khalil Ezzinbi +2 more
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