Abstract: | In this paper, we develop the truncated Euler-Maruyama (EM) method forstochastic differential equations with piecewise continuous arguments (SDEPCAs),and consider the strong convergence theory under the local Lipschitz condition plusthe Khasminskii-type condition. The order of convergence is obtained. Moreover,we show that the truncated EM method can preserve the exponential mean squarestability of SDEPCAs. Numerical examples are provided to support our conclusions. |