{"paper":{"title":"Multivalued Backward Stochastic Differential Equations with Time Delayed Generators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Bakarime Diomande, Lucian Maticiuc","submitted_at":"2013-05-30T17:35:43Z","abstract_excerpt":"Our aim is to study the following new type of multivalued backward stochastic differential equation: \\[ \\left\\{\\begin{array} [c]{r}-dY\\left(t\\right) +\\partial\\varphi\\left(Y\\left(t\\right)\\right) dt\\ni F\\left(t,Y\\left(t\\right),Z\\left(t\\right),Y_{t},Z_{t}\\right) dt+Z\\left(t\\right) dW\\left(t\\right),\\;0\\leq t\\leq T,\\medskip\\\\ \\multicolumn{1}{l}{Y\\left(T\\right) =\\xi,}\\end{array} \\right. \\] where $\\partial\\varphi$ is the subdifferential of a convex function and $\\left(Y_{t},Z_{t}\\right):=(Y(t+\\theta),Z(t+\\theta))_{\\theta\\in\\lbrack-T,0]}$ represent the past values of the solution over the interval $\\l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7170","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}