%0 Journal Article
%T Equivalence of Uniqueness in Law and Joint Uniqueness in Law for SDEs Driven by Poisson Processes
%A Huiyan Zhao
%A Chunhua Hu
%A Siyan Xu
%J Applied Mathematics
%P 784-792
%@ 2152-7393
%D 2016
%I Scientific Research Publishing
%R 10.4236/am.2016.78070
%X We give an extension result of Watanabe¡¯s
characterization for 2-dimensional Poisson processes. By using this result, the
equivalence of uniqueness in law and joint uniqueness in law is proved for
one-dimensional stochastic differential equations driven by Poisson processes.
After that, we give a simplified Engelbert theorem for the stochastic
differential equations of this type.
%K Uniqueness in Law
%K Joint Uniqueness in Law
%K Poisson Process
%K Engelbert Theorem
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=66634