Asymptotic almost automorphic solutions of impulsive neural network with almost automorphic coefficients

Piecewise asymptotically almost periodic solution ofneutral Volterra integro-differential equations with impulsiveeffects

“…For more details about this topic, one can see [6,7,9,16,23,24,26], where the authors have given an important overview about the theory of impulsive differential and integro-differential equations. On the other hand, the asymptotic properties of solutions of impulsive differential equations have been studied from different points, such as almost periodicity [8,17,18,20,21,29], almost automorphy [1,30], asymptotic stability [19,28], asymptotic equivalence [5], and oscillation [15]. However, the existence and uniqueness of a piecewise asymptotically almost periodic mild solution for neutral Volterra integro-differential equations with impulsive effects in the form (1.1) is an untreated topic in the literature and this fact is the motivation of the present work.…”

Matrix measure on time scales and almost periodic analysis of the impulsive Lasota–Wazewska model with patch structure and forced perturbations

“…Periodic, almost periodic, and almost automorphic variabilities arise naturally in real‐world phenomena . In 1999, Gopalsamy and Trofimchuk studied the existence of an almost periodic solution of the Lasota–Wazewska type delay differential equation: which was used by Wazewska–Czyzewska and Lasota as a model for the survival of red blood cells in an animal.…”

“…Periodic, almost periodic, and almost automorphic variabilities arise naturally in real-world phenomena [1][2][3][4][5][6][7][8]. In 1999, Gopalsamy and Trofimchuk [9] studied the existence of an almost periodic solution of the Lasota-Wazewska type delay differential equation:…”

Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays

“…Neural networks have been extensively applied, recently, in many areas such as optimization problems, pattern recognition, signal processing, image processing, associative memories and many other fields (Abbas et al 2014;Ammar et al 2012;Aouiti et al 2016;Bai 2008Bai , 2009Benucci et al 2007;Cao et al 2016;Chua and Yang 1988;Huang et al 2002;Mattia and Sanchez-Vives 2012;Roska and Chua 1992;Tagluk and Tekin 2014;Wei et al 2014;Zhu et al 2015).…”