摘要: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.
摘要:Singularlity preserving Petrov-Galerkin methods are developed for the second kind integrat equations with weakly singular kernels. The numerical analysis is given, and the order of convergence achieves the optimal rate.