【摘要】 得到Ｈｉｌｂｅｒｔ空间上关于柱体布朗运动及Ｐｏｉｓｓｏｎ随机鞅测度的鞅表示定理；证明了算子半群与算子群情形下Ｈｉｌｂｅｒｔ空间上关于柱体布朗运动及Ｐｏｉｓｓｏｎ鞅测度的一类倒向随机发展方程的适应解的存在唯一性定理及重要估计式。更多还原

【Abstract】 The martingale representation theorem is obtained for the cylindrical Brownian Motion and Poisson mar-tingale measure on Hubert spaces. Then the existence and uniqueness of adapted solutions of some backward stochastic evolution equations with jumps on Hilbert spaces are proved in the cases of operator semi-groups and oper-ator groups with weaker conditions respectively. Some useful estimates are also obtined.更多还原