1 Stochastic Models and Random Evolution Equations.- 2 Deterministic Systems with Random Initial Conditions.- 3 The Random Initial Boundary Value Problem.- 4 Stochastic Systems with Additional Weighted Noise.- 5 Time Evolution of the Probability Density.- 6 Some Further Developments of the SAI Method ..- Appendix : Basic Concepts of Probability Theory and Stochastic Processes.- References to Appendix.- Authors Index.