International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 41, Pages 2587-2602
doi:10.1155/S0161171203108150
Stochastic antiderivational equations on non-Archimedean Banach spaces
S. V. Ludkovsky
Theoretical Department, Institute of General Physics, 38 Vavilov Street, Moscow 119991, GSP-1, Russia
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.