The exponential stability of neutral stochastic delay partial differential equations

Tomás Caraballo; José Real; T. Taniguchi

doi:10.3934/dcds.2007.18.295

Article Contents

2007, Volume 18, Issue 2&3: 295-313. Doi: 10.3934/dcds.2007.18.295

This issue Previous Article Existence of exponentially attracting stationary solutions for delay evolution equations Next Article Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions

The exponential stability of neutral stochastic delay partial differential equations

1.
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla
2.
Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla
3.
Division of Mathematical Sciences, Graduate School of Comparative Culture, Kurume University, Miimachi, Kurume, Fukuoka 839-8502

Received: December 2005

Revised: May 2006

Published: June 2007

Abstract Related Papers Cited by

Abstract

In this paper we analyze the almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations. These kind of equations arise in problems related to coupled oscillators in a noisy environment, or in viscoeslastic materials under random or stochastic influences.

Keywords:

Neutral stochastic partial differential equations,
existence of solutions,
ultimate boundedness,
exponential stability.

Mathematics Subject Classification: Primary: 60H20; Secondary: 60G48 .

Citation:

Article Metrics

HTML views() PDF downloads(197) Cited by(0)

The exponential stability of neutral stochastic delay partial differential equations

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The exponential stability of neutral stochastic delay partial differential equations

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content