Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion

In this paper, we study the exponential stability in the pth moment of mild solutions to neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion: [Formula: see text] where [Formula: see text] . Our method for investigating the stability o...

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Detalles Bibliográficos
Autores principales: Zhang, Xinwen, Ruan, Dehao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096910/
https://www.ncbi.nlm.nih.gov/pubmed/30839575
http://dx.doi.org/10.1186/s13660-018-1793-9
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author Zhang, Xinwen
Ruan, Dehao
author_facet Zhang, Xinwen
Ruan, Dehao
author_sort Zhang, Xinwen
collection PubMed
description In this paper, we study the exponential stability in the pth moment of mild solutions to neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion: [Formula: see text] where [Formula: see text] . Our method for investigating the stability of solutions is based on the Banach fixed point theorem. The obtained results generalize and improve the results due to Boufoussi and Hajji (Stat. Probab. Lett. 82:1549–1558, 2012), Caraballo et al. (Nonlinear Anal. 74:3671–3684, 2011), and Luo (J. Math. Anal. Appl. 355:414–425, 2009).
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spelling pubmed-60969102018-08-24 Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion Zhang, Xinwen Ruan, Dehao J Inequal Appl Research In this paper, we study the exponential stability in the pth moment of mild solutions to neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion: [Formula: see text] where [Formula: see text] . Our method for investigating the stability of solutions is based on the Banach fixed point theorem. The obtained results generalize and improve the results due to Boufoussi and Hajji (Stat. Probab. Lett. 82:1549–1558, 2012), Caraballo et al. (Nonlinear Anal. 74:3671–3684, 2011), and Luo (J. Math. Anal. Appl. 355:414–425, 2009). Springer International Publishing 2018-08-01 2018 /pmc/articles/PMC6096910/ /pubmed/30839575 http://dx.doi.org/10.1186/s13660-018-1793-9 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhang, Xinwen
Ruan, Dehao
Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
title Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
title_full Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
title_fullStr Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
title_full_unstemmed Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
title_short Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
title_sort exponential stability for neutral stochastic functional partial differential equations driven by brownian motion and fractional brownian motion
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096910/
https://www.ncbi.nlm.nih.gov/pubmed/30839575
http://dx.doi.org/10.1186/s13660-018-1793-9
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AT ruandehao exponentialstabilityforneutralstochasticfunctionalpartialdifferentialequationsdrivenbybrownianmotionandfractionalbrownianmotion

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