![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
Integral equations of the form ds for a random function c(t) are considered Here y(t) is an ergodic stationary process or a stationary ergodic Markov process satisfying some mixing conditions. The equation
ds where
and ρ(dy) is the ergodic distribution
the asymptotic behaviour of
. and the weak convergence of
for the linear integral equations to the solutions of some stochastic integral equations are studied. For integral equations of convolution type, including some equations that arise in demographics, the theory of epidemics and electrical engineering we investigate the asymptotic behaviour of
*Work Supported by NSF Grants DMS92-06677 and DMS93-12255
*Work Supported by NSF Grants DMS92-06677 and DMS93-12255
Notes
*Work Supported by NSF Grants DMS92-06677 and DMS93-12255