International Journal of Mathematics and Mathematical Sciences (Jan 2003)
Stochastic antiderivational equations on non-Archimedean Banach spaces
Abstract
Stochastic antiderivational equations on Banach spaces over local non-Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non-Archimedean analog of the Gaussian measure.