Petr Veverka

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This paper is concerned with necessary and sufficient conditions for near-optimal singular stochastic controls for systems driven by a non-linear stochastic differential equations (SDEs in short). The proof of our result is based on Ekeland's variational principle and some dilecate estimates of the state and adjoint processes. This result is a(More)
In this article, the sufficient Pontryagin's maximum principle for infinite horizon discounted stochastic control problem is established. The sufficiency is ensured by an additional assumption of concavity of the Hamiltonian function. Throughout the paper, it is assumed that the control domain U is a convex set and the control may enter the diffusion term(More)
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