Further results on the arcwise connectedness of solution sets of discontinuous quantum stochastic differential inclusions

DOI10.1142/S0219025720500228zbMath1457.81063MaRDI QIDQ5150263

Dauda Alani Dikko

Publication date: 10 February 2021

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

connectednesslower semicontinuousquantum stochastic processesupper semicontinuousDQSDI

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Quantum stochastic calculus (81S25) Stochastic analysis (60H99)

Related Items (1)

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

Cites Work

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• Quantum stochastic evolutions
• Quantum Ito's formula and stochastic evolutions
• Arc-wise connectedness in semi-metric spaces
• Lipschitzian quantum stochastic differential inclusions
• Continuous selections of solution sets of Lipschitzian quantum stochastic differential inclusions
• Quantum stochastic differential inclusions of hypermaximal monotone type
• Topological properties of solution sets of Lipschitzian quantum stochastic differential inclusions
• Arcwise cone connected functions and optimality.
• Mayer problem for quantum stochastic control

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