Optimal solutions to stochastic differential inclusions
Tom 29 / 2002
                    
                    
                        Applicationes Mathematicae 29 (2002), 387-398                    
                                        
                        MSC: 93E03, 93C30.                    
                                        
                        DOI: 10.4064/am29-4-2                    
                                    
                                                Streszczenie
A martingale problem approach is used first to analyze compactness and continuous dependence of the solution set to stochastic differential inclusions of Ito type with convex integrands on the initial distributions. Next the problem of existence of optimal weak solutions to such inclusions and their dependence on the initial distributions is investigated.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            