CONSTRUCTION OF APPROXIMATE ATTAINABILITY SETS FOR LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL INCLUSIONS

DOI10.1081/SAP-100002023zbMath0985.60064MaRDI QIDQ2746380

Ezekiel O. Ayoola

Publication date: 20 May 2002

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fock spacesquantum stochastic differential inclusionsexponential vectorsnoncommutative multivalued stochastic processes

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Quantum stochastic calculus (81S25) Stochastic integral equations (60H20)

Related Items (7)

On continuous selection sets of non-Lipschitzian quantum stochastic evolution inclusions ⋮ Exponential Formula for the Reachable Sets of Quantum Stochastic Differential Inclusions ⋮ Exploration nonlocal controllability for Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise ⋮ Topological properties of solution sets of Lipschitzian quantum stochastic differential inclusions ⋮ Continuous interpolation of solution sets of Lipschitzian quantum stochastic differential inclusions ⋮ Extension of Continuous Selection Sets to Non-Lipschitzian Quantum Stochastic Differential Inclusion ⋮ Error Estimates for Discretized Quantum Stochastic Differential Inclusions

Cites Work

• Quantum stochastic evolutions
• Quantum Ito's formula and stochastic evolutions
• Lipschitzian quantum stochastic differential inclusions
• Quantum stochastic differential inclusions of hypermaximal monotone type
• Converging multistep schemes for weak solutions of quantum stochastic differential equations
• Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side

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