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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Universidad Católica del Norte, Departamento de Matemáticas
2019
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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 |
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Scielo Chile |
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Scielo Chile |
language |
English |
topic |
Quantum stochastic processes Impulse effects Fixed points |
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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 |
_version_ |
1718439861619261440 |