English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this article, we prove the existence of weak solutions as well as theexistence and uniqueness of strong solutions for McKean-Vlasov multivaluedstochastic differential equations with oblique subgradients (MVMSDEswOS, forshort) by means of the equations of Euler type and Skorohod's representationtheorem. For this type of equation, compared with the method in [19,13], sincewe can't use the maximal monotony property of its constituent subdifferentialoperator, some different specific techniques are applied to solve our problems.Afterwards, we give an example for MVMSDEswOS with time-dependent convexconstraints, which can be reduced to MVMSDEswOS. Finally, we consider anoptimal control problem and establish the dynamic programming principle for thevalue function.

McKean-Vlasov multivalued stochastic differential equations with oblique subgradients and related stochastic control problems