On some properties of solution sets of discontinuous quantum stochastic differential inclusions

DOI10.1007/978-3-031-06170-7_15OpenAlexW4312686209MaRDI QIDQ2106451

Dauda Alani Dikko

Publication date: 14 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-06170-7_15

zbMATH Keywords

connectednesslower semicontinuouscontractibilityupper semicontinuousnoncommutative stochastic processes

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Ordinary differential equations and systems with randomness (34F05) Quantum stochastic calculus (81S25) Stochastic analysis (60H99)

Cites Work

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• Quantum Ito's formula and stochastic evolutions
• Arc-wise connectedness in semi-metric spaces
• Lipschitzian quantum stochastic differential inclusions
• Topological properties of solution sets of Lipschitzian quantum stochastic differential inclusions
• Arcwise cone connected functions and optimality.
• On solution sets of multivalued differential equations
• Further results on the arcwise connectedness of solution sets of discontinuous quantum stochastic differential inclusions
• Mayer problem for quantum stochastic control

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