Continuity properties of solutions of multivalued equations with white noise perturbation. (1997)

• Record Type: Journal Article
• Authors: Michta, Mariusz
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 10:Number 3(1997)
• Page Start: 239
• Page End: 248
• Publication Date: 1997
• Subjects: set-valued mappings -- Aumann's integral -- convergence in probability of random elements; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953397000300
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In the paper, we consider a set-valued stochastic equation with stochastic perturbation in a Banach space. We prove first the existence theorem and then study continuity properties of solutions.