Functions into Banach Spaces, with Applications to Random Differential Equations

摘要

For problems concerning the existence of different types of stochastic derivatives of processes which are the solutions of ordinary differential equations, a central feature is the need for complicated measured theoretic results in probability theory. This thesis contains such results, applies them to establish the relationship between the different kinds of stochastic derivatives and where construction of various counter examples establishes the relative strength and weakness of the results. (Author)