Abstract and Applied Analysis 
Volume 5 (2000), Issue 1, Pages 1-11
doi:10.1155/S1085337500000075

Time averaging for random nonlinear abstract parabolic equations

G. Bruno,1 A. Pankov,2 and T. Pankova2

 1Università di Roma “La Sapienza”, Dipartimento MeMoMat, via A. Scarpa, Roma 16, 00161, Italy
2Department of Mathematics, Vinnista State Pedagogical University, Ukraine
Received 9 March 2000

Abstract

On the basis of G-convergence we prove an averaging result for nonlinear abstract parabolic equations, the operator coefficient of which is a stationary stochastic process.