ON STRONG SOLUTIONS OF ITO'S EQUATIONS WITH sigma is an element of W-d(1) AND b is an element of L-d

We consider Ito uniformly nondegenerate equations with time independent coefficients, the diffusion coefficient in W-d,loc(1) and the drift in L-d. We prove the unique strong solvability for any starting point and prove that, as a function of the starting point, the solutions are Holder continuous with any exponent < 1. We also prove that if we are given a sequence of coefficients converging in an appropriate sense to the original ones, then the solutions of approximating equations converge to the solution of the original one.