ABSTRACT
The concept of system of differential equations with random parameters generates a very general and difficult problem of “stochastic versus deterministic” (or “randomness versus non-randomness”). Roughly speaking, this means that to what extent the solution processes of systems of differential equations with random parameters deviate from the solution processes of corresponding systems of differential equations with deterministic parameters. In this chapter, three major techniques for studying nonlinear initial value problems are developed and a solution to the above problem is addressed.
