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New approach to optimal control of stochastic Volterra integral equations
We study optimal control of stochastic Volterra integral equations (SVIE)
with jumps by using Hida-Malliavin calculus.
- We give conditions under which there exists unique solutions of such
equations.
- Then we prove both a sufficient maximum principle (a verification theorem)
and a necessary maximum principle via Hida-Malliavin calculus.
- As an application we solve a problem of optimal consumption from a cash
flow modelled by an SVIE
- …