On continuous control dependence of solutions of stochastic equations with monotone coefficients

For a controlled stochastic differential equation with monotone coefficients we prove that the solution depends continuously on the control and the initial values.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 37–40, 1987.     

On the similarity of a <Emphasis Type="Italic">J</Emphasis>-nonnegative Sturm-Liouville operator to a self-adjoint operator

In terms of Weyl-Titchmarsh m-functions, we obtain a new necessary condition for an indefinite Sturm-Liouville operator to be similar to a self-adjoint operator. This condition is used to construct examples of J-nonnegative Sturm-Liouville operators with singular critical point zero.