Nonlocal quantum stochastic differential equations with impulsive effects

Abstract The aim of this work is to establish further existence of solution results for quantum stochastic differential equations with unbounded coefficients, which are also stochastic processes. Existence of solutions for nonlocal quantum stochastic differential equations with impulsive effects is...

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Autor principal: Ogundiran,M. O.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501057
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spelling oai:scielo:S0716-091720190005010572020-01-07Nonlocal quantum stochastic differential equations with impulsive effectsOgundiran,M. O. Quantum stochastic processes Impulse effects Fixed points Abstract The aim of this work is to establish further existence of solution results for quantum stochastic differential equations with unbounded coefficients, which are also stochastic processes. Existence of solutions for nonlocal quantum stochastic differential equations with impulsive effects is established. The nonlocal condition extends the traditional initial value condition and cases of Lipschitz and non-Lipschitz continuous conditions were established. The quantum stochastic differential equation considered are driven by noises on Boson Fock spaces and measure of non compactness was employed to prove the main result.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.5 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501057en10.22199/issn.0717-6279-2019-05-0068
institution Scielo Chile
collection Scielo Chile
language English
topic Quantum stochastic processes
Impulse effects
Fixed points
spellingShingle Quantum stochastic processes
Impulse effects
Fixed points
Ogundiran,M. O.
Nonlocal quantum stochastic differential equations with impulsive effects
description Abstract The aim of this work is to establish further existence of solution results for quantum stochastic differential equations with unbounded coefficients, which are also stochastic processes. Existence of solutions for nonlocal quantum stochastic differential equations with impulsive effects is established. The nonlocal condition extends the traditional initial value condition and cases of Lipschitz and non-Lipschitz continuous conditions were established. The quantum stochastic differential equation considered are driven by noises on Boson Fock spaces and measure of non compactness was employed to prove the main result.
author Ogundiran,M. O.
author_facet Ogundiran,M. O.
author_sort Ogundiran,M. O.
title Nonlocal quantum stochastic differential equations with impulsive effects
title_short Nonlocal quantum stochastic differential equations with impulsive effects
title_full Nonlocal quantum stochastic differential equations with impulsive effects
title_fullStr Nonlocal quantum stochastic differential equations with impulsive effects
title_full_unstemmed Nonlocal quantum stochastic differential equations with impulsive effects
title_sort nonlocal quantum stochastic differential equations with impulsive effects
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2019
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501057
work_keys_str_mv AT ogundiranmo nonlocalquantumstochasticdifferentialequationswithimpulsiveeffects
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