@Article{CMR-25-30, author = {Han , Yuecai and Ma , Yong}, title = {Eigenvalue Problem of Doubly Stochastic Hamiltonian Systems with Boundary Conditions}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {1}, pages = {30--36}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19285.html} }