LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS AND THE ASSOCIATED KURZWEIL EQUATIONS

DOI10.1081/SAP-100002103zbMath0987.60072MaRDI QIDQ2746387

Ezekiel O. Ayoola

Publication date: 23 June 2002

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

zbMATH Keywords

Fock spacesquantum stochastic differential equationsexponential vectorsnoncommutative stochastic processesKurzweil equations and integrals

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 (5)

On topological properties of solution sets of non Lipschitzian quantum stochastic differential inclusions ⋮ Existence of mild solution of impulsive quantum stochastic differential equation with nonlocal conditions ⋮ Viable solutions of lower semicontinuous quantum stochastic differential inclusions ⋮ Further results on the existence, uniqueness and stability of strong solutions of quantum stochastic differential equations ⋮ Extension of Continuous Selection Sets to Non-Lipschitzian Quantum Stochastic Differential Inclusion

Cites Work

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• Quantum stochastic evolutions
• Quantum Ito's formula and stochastic evolutions
• On Kurzweil generalized ordinary differential equations
• Lipschitzian quantum stochastic differential inclusions
• Topological dynamics of ordinary differential equations and Kurzweil equations
• Quantum stochastic differential inclusions of hypermaximal monotone type
• Converging multistep schemes for weak solutions of quantum stochastic differential equations

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