TITLE:
The Existence and Uniqueness of Random Solution to Itô Stochastic Integral Equation
AUTHORS:
Hamdin Ahmed Alafif, Caishi Wang
KEYWORDS:
Itô Integral; Brownian Motion; Probabilistic Functional Analysis; Banach Space
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.7,
June
21,
2012
ABSTRACT: The objective of this paper is to attempt to apply the theoretical techniques of probabilistic functional analysis to answer the question of existence and Uniqueness of a Random Solution to It? Stochastic Integral Equation. Another type of stochastic integral equation which has been of considerable importance to applied mathematicians and engineers is that involving the It? or It?-Doob form of stochastic integrals.