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Dynamics of -piecewise pseudo almost periodic solutions of neutral-type inertial neural networks models: existence
Khalil Ezzinbi1, Fritz Mbounja Béssémè2
1Département de Mathématiques, Faculté des Sciences Semlalia, Université Cadi-Ayyad, B.P. 2390 Marrakesh, Morocco.
Abstract:
In this work, we use measure theory to provide new sufficient conditions for the existence, uniqueness and global exponential stability of piecewise pseudo almost periodic solutions of neutral-type inertial neural networks with mixed delay and impulsive perturbations. By proposing a variable substitution, the neutral-type inertial neural networks can be rewritten as a first-order differential equation. As a consequence, we investigate the exponential attractiveness of -piecewise pseudo almost periodic solutions of the considered model. Moreover, some numerical simulations are given to illustrate our main results.
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