Nonlocal quantum stochastic differential equations with impulsive effects

DOI10.22199/issn.0717-6279-2019-05-0068zbMath1454.81124OpenAlexW2997471922MaRDI QIDQ5142123

Michael O. Ogundiran

Publication date: 29 December 2020

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2019-05-0068

zbMATH Keywords

fixed pointsimpulse effectsquantum stochastic processes

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Quantum stochastic calculus (81S25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Bergman spaces and Fock spaces (30H20) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15) Bosonic systems in quantum theory (81V73)

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Impulsive problems for semilinear differential equations with nonlocal conditions
• On quantum stochastic differential equations with unbounded coefficients
• Solving quantum stochastic differential equations with unbounded coefficients
• Existence of semilinear differential equations with nonlocal initial conditions
• Existence results for impulsive differential equations with nonlocal conditions via measures of noncompactness
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Topological Solutions of Noncommutative Stochastic Differential Equations
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