Exponential stability of second-order stochastic evolution equations with Poisson jumps
type: Item
instance of: scholarly article
title: Exponential stability of second-order stochastic evolution equations with Poisson jumps
zbMATH Open document ID: 1273.60077
author: Yong Ren
author: R. Sakthivel
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2013-05-02T00:00:00Z
review text: The paper formulates conditions for mild solutions of certain second order stochastic differential equations with infinite delay and Poisson jumps to exist and to be exponentially stable in second mean.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6160129
zbMATH Keywords: second order stochastic evolution equation
zbMATH Keywords: cosine family
zbMATH Keywords: mild solution
zbMATH Keywords: exponential stability in second mean
zbMATH Keywords: Poisson point process
reviewed by: Hans Crauel
MaRDI profile type: Publication
full work available at URL: j.cnsns.2012.04.020
OpenAlex ID: W2058707134
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DOI: 10.1016/J.CNSNS.2012.04.020
description: scientific article; zbMATH DE number 6160129