About stability of delay differential equations with square integrable level of stochastic perturbations. (April 2019)
- Record Type:
- Journal Article
- Title:
- About stability of delay differential equations with square integrable level of stochastic perturbations. (April 2019)
- Main Title:
- About stability of delay differential equations with square integrable level of stochastic perturbations
- Authors:
- Shaikhet, Leonid
- Abstract:
- Abstract: The long term behavior of solutions of stochastic delay differential equations with a fading stochastic perturbations is investigated. It is shown that if the level of stochastic perturbations fades on the infinity, for instance, if it is given by square integrable function, then an asymptotically stable deterministic system remains to be an asymptotically stable (in mean square).
- Is Part Of:
- Applied mathematics letters. Volume 90(2019)
- Journal:
- Applied mathematics letters
- Issue:
- Volume 90(2019)
- Issue Display:
- Volume 90, Issue 2019 (2019)
- Year:
- 2019
- Volume:
- 90
- Issue:
- 2019
- Issue Sort Value:
- 2019-0090-2019-0000
- Page Start:
- 30
- Page End:
- 35
- Publication Date:
- 2019-04
- Subjects:
- Delay differential equations -- Fading stochastic perturbations -- Asymptotic mean square stability
Applied mathematics -- Periodicals
519.05 - Journal URLs:
- http://www.sciencedirect.com/science/journal/08939659 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.aml.2018.10.004 ↗
- Languages:
- English
- ISSNs:
- 0893-9659
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 1573.880000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 9061.xml