About the Solution Stability of Volttera Integral Equation with Random Kernel
Researcher Name
Ahmad Qazza, Raed Hatamleh and Naser Alodat
Name Of Journal
Far East Journal of Mathematical Sciences
Volume No.
100 (5): 671-680
Date Of Publication
2016.06
Abstract
For integral equation in R^n with stochastic kernel of the special type,
exact equations for first and second moments of the integral equation
solution are derived. By means of these equations, the stability of the
solution of the integral equation in mean and mean-square was
analyzed. The analysis is based on reduction of integral equation to the
equivalent differential equation with random coefficient, presenting
two valued Markov process. An example is given.