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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.
@article{MariuszMichta2002, abstract = {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.}, author = {Mariusz Michta}, journal = {Applicationes Mathematicae}, keywords = {Stochastic differential inclusion; local martingale problem; optimal weak solutions; existence theorem; extremal problem}, language = {eng}, number = {4}, pages = {387-398}, title = {Optimal solutions to stochastic differential inclusions}, url = {http://eudml.org/doc/279578}, volume = {29}, year = {2002}, }
TY - JOUR AU - Mariusz Michta TI - Optimal solutions to stochastic differential inclusions JO - Applicationes Mathematicae PY - 2002 VL - 29 IS - 4 SP - 387 EP - 398 AB - 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. LA - eng KW - Stochastic differential inclusion; local martingale problem; optimal weak solutions; existence theorem; extremal problem UR - http://eudml.org/doc/279578 ER -