Further results on the existence, uniqueness and stability of strong solutions of quantum stochastic differential equations

DOI10.1016/J.AML.2004.05.005zbMath1071.81071OpenAlexW1974077812MaRDI QIDQ2484602

A. W. Gbolagade, Ezekiel O. Ayoola

Publication date: 1 August 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.05.005

zbMATH Keywords

Fock spaceLipschitzianExponential vectorsQSDEQuantum stochastic processes

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Weak and generalized continuity (54C08) Lipschitz (Hölder) classes (26A16) Quantum stochastic calculus (81S25) Weak interaction in quantum theory (81V15) Stochastic analysis (60H99)

Related Items (1)

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Cites Work

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• Quantum Ito's formula and stochastic evolutions
• Lipschitzian quantum stochastic differential inclusions
• LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS AND THE ASSOCIATED KURZWEIL EQUATIONS
• The Itô-Clifford Integral II-Stochastic Differential Equations
• Quantum stochastic differential equations on *-bialgebras
• Converging multistep schemes for weak solutions of quantum stochastic differential equations
• Lagrangian Quadrature Schemes for Computing Weak Solutions of Quantum Stochastic Differential Equations
• Existence and stability results for strong solutions of lipschitzian quantum stochastic differential equations
• On convergence of one-step schemes for weak solutions of quantum stochastic differential equations

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