International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 41, Pages 2587-2602

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

Received 28 October 2002

Copyright © 2003 S. V. Ludkovsky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.