ON ASYMPTOTIC BEHAVIOR  OF A RANDOM EVOLUTION

In this paper, we study the asymptotic behavior of a random evolution. Some examples of random evolution can be found in Chapter 12 of [2].

J. of Multiv. Analysis v.5 Stochastic evolution equation and related measure process Dawson
Markov process: Characterizatioon and convergence Ethier;Kurtz
Th. of Prob. and its appl. v.6 On stochastic process defined by differential equations with a small parameter R. Khasminskii
Ann. Prob v.19 Weak limit theorems for stochastic integrals and stochastic differential equations T.Kurtz;P. Protter
Stochastic Analysis WongZakai corrections, random evolutions, and simulation schemes for S.D.E’s, T.Kurtz
Ann. math. stat. v.36 On the convergence of ordinary integrals to stochastic integrals. E. Wong;M. Zakai