TY - JOUR
T1 - Eigenvalue Problem of Doubly Stochastic Hamiltonian Systems with Boundary Conditions
AU - Han , Yuecai
AU - Ma , Yong
JO - Communications in Mathematical Research 
VL - 1
SP - 30
EP - 36
PY - 2021
DA - 2021/06
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19285.html
KW - doubly stochastic Hamiltonian system, eigenvalue problem, spectrum
theory.
AB - <p style="text-align: justify;">In this paper, we investigate the eigenvalue problem of forward-backward
doubly stochastic differential equations with boundary value conditions. We show
that this problem can be represented as an eigenvalue problem of a bounded continuous compact operator. Hence using the famous Hilbert-Schmidt spectrum theory, we
can characterize the eigenvalues exactly.</p>