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In this paper,we formulate and investigate a memristive neural networks with time-varying delays and synchronous switching.Conditions are derived which ensure the existence of an equilibrium point and uniform stability for state trajectories of the memristive neural network.The analysis in the paper employs results from the theory of Lyapunov function.Moreover,the proposed stability conditions are straightforward and convenient which can reflect the impact of time-varying delays on the stability.The simulation results demonstrate the effectiveness of the theoretical results.