Department of Mathematics Harbin Institute of Technology Harbin 150001 China;
Department of Mathematics Harbin Institute of Technology Harbin 150001 China;
Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China;
Department of Mathematics Harbin Institute of Technology Harbin 150001 China;
Stochastic differential equations with piecewise continuous argument; local Lips-chitz condition; Khasminskii-type condition; truncated Euler-Maruyama method; convergence and stability;