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Stationary distributions for retarded stochastic differential equations without dissipativity

Jianhai Bao, George Yin, Chenggui Yuan Orcid Logo

Stochastics, Volume: 89, Issue: 2, Pages: 530 - 549

Swansea University Author: Chenggui Yuan Orcid Logo

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Abstract

In this paper, we use variation of constants formula to investigate the stationary distribution for stochastic differential delay equations. Under certain conditions (without dissipative conditions) we prove the existence and uniqueness for stochastic differential delay equations.

Published in: Stochastics
ISSN: 1744-2508 1744-2516
Published: Informa UK Limited 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa36617
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Abstract: In this paper, we use variation of constants formula to investigate the stationary distribution for stochastic differential delay equations. Under certain conditions (without dissipative conditions) we prove the existence and uniqueness for stochastic differential delay equations.
Keywords: Retarded stochastic differential equation; stationary distribution; variation-of-constants formula; Lévy process
College: Faculty of Science and Engineering
Issue: 2
Start Page: 530
End Page: 549