Global attractivity and existence of weighted pseudo almost automorphic solution for GHNNS with delays and variable coefficients

Abstract

In this paper, we shall explain a new result concerning weighted pseudo almost automorphic solutions of Hopfield neural network with time-varying delay and variable coefficients. Precisely, we shall prove existence and the global attractivity of the unique weighted pseudo almost automorphic solution of the considered model. Then, by employing suitable analytic techniques, global attractivity of the unique weighted pseudo almost automorphic solution is established. Lastly, an example is provided to demonstrate the validity of the results proposed.