Stability of well-posed stochastic evolution equation

The stability of a non-classical stochastic evolution equation with impulsive and nonlocal initial conditions is examined from a general perspective. We investigate the effect of the nonlocal conditions on the well-posedness and the stability of the solution. We show that the concept of Ulam-type st...

Descripción completa

Detalles Bibliográficos
Autores principales: Bishop, S.A., Iyase, S.A., Okagbue, H.I.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6895722/
https://www.ncbi.nlm.nih.gov/pubmed/31844739
http://dx.doi.org/10.1016/j.heliyon.2019.e02832
_version_ 1783476618551885824
author Bishop, S.A.
Iyase, S.A.
Okagbue, H.I.
author_facet Bishop, S.A.
Iyase, S.A.
Okagbue, H.I.
author_sort Bishop, S.A.
collection PubMed
description The stability of a non-classical stochastic evolution equation with impulsive and nonlocal initial conditions is examined from a general perspective. We investigate the effect of the nonlocal conditions on the well-posedness and the stability of the solution. We show that the concept of Ulam-type stability holds for this class of equation under the given condition [Formula: see text]. An example is also provided to support our claim.
format Online
Article
Text
id pubmed-6895722
institution National Center for Biotechnology Information
language English
publishDate 2019
publisher Elsevier
record_format MEDLINE/PubMed
spelling pubmed-68957222019-12-16 Stability of well-posed stochastic evolution equation Bishop, S.A. Iyase, S.A. Okagbue, H.I. Heliyon Article The stability of a non-classical stochastic evolution equation with impulsive and nonlocal initial conditions is examined from a general perspective. We investigate the effect of the nonlocal conditions on the well-posedness and the stability of the solution. We show that the concept of Ulam-type stability holds for this class of equation under the given condition [Formula: see text]. An example is also provided to support our claim. Elsevier 2019-11-22 /pmc/articles/PMC6895722/ /pubmed/31844739 http://dx.doi.org/10.1016/j.heliyon.2019.e02832 Text en © 2019 The Author(s) http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Article
Bishop, S.A.
Iyase, S.A.
Okagbue, H.I.
Stability of well-posed stochastic evolution equation
title Stability of well-posed stochastic evolution equation
title_full Stability of well-posed stochastic evolution equation
title_fullStr Stability of well-posed stochastic evolution equation
title_full_unstemmed Stability of well-posed stochastic evolution equation
title_short Stability of well-posed stochastic evolution equation
title_sort stability of well-posed stochastic evolution equation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6895722/
https://www.ncbi.nlm.nih.gov/pubmed/31844739
http://dx.doi.org/10.1016/j.heliyon.2019.e02832
work_keys_str_mv AT bishopsa stabilityofwellposedstochasticevolutionequation
AT iyasesa stabilityofwellposedstochasticevolutionequation
AT okagbuehi stabilityofwellposedstochasticevolutionequation

Ejemplares similares