In this paper, we obtain some results on the existence and uniqueness of solutions to stochastic forest evolution system under non-Lipschitz condition, with Lipschitz condition being considered as a special case. We d...In this paper, we obtain some results on the existence and uniqueness of solutions to stochastic forest evolution system under non-Lipschitz condition, with Lipschitz condition being considered as a special case. We develop our theory by investigating convergence of sequence of stochastic process defined by successive approximations in the general functional setting. The major tools we used are Bihari inequality and Davis inequality.展开更多
基金Project supported by the Key Science and Technology Project of Ministry of Education (No.207407)The Research Project for Younger Teacher of Anhui Normal University (No.2006xqn49)+2 种基金The Special Project Grants of Anhui Normal University (2006xzx08)The Project Grants for Ph.D of Anhui Normal UniversityThe Teaching Research Project of Anhui Normal University.
文摘In this paper, we obtain some results on the existence and uniqueness of solutions to stochastic forest evolution system under non-Lipschitz condition, with Lipschitz condition being considered as a special case. We develop our theory by investigating convergence of sequence of stochastic process defined by successive approximations in the general functional setting. The major tools we used are Bihari inequality and Davis inequality.
