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Preservation of exponential stability for equations with several delays
We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays x˙ (t) + ∑m k=1 ak(t)x(hk(t)) = 0, ak(t) ≥ 0 under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.
Creator
- Berezansky, Leonid
- Braverman, Elena
Subject
- exponential stability
- nonoscillation
- explicit stability condition
- perturbation
Type of item
- model:article
Creator
- Berezansky, Leonid
- Braverman, Elena
Subject
- exponential stability
- nonoscillation
- explicit stability condition
- perturbation
Type of item
- model:article
Providing institution
Aggregator
Rights statement for the media in this item (unless otherwise specified)
- http://creativecommons.org/publicdomain/mark/1.0/
Rights
- policy:public
Place-Time
- 135-144
Source
- Mathematica bohemica | 2011 Volume:136 | Number:2
Identifier
- uuid:22b2ac19-08ad-40d7-ba07-6a2d261118fe
- https://cdk.lib.cas.cz/client/handle/uuid:22b2ac19-08ad-40d7-ba07-6a2d261118fe
- uuid:22b2ac19-08ad-40d7-ba07-6a2d261118fe
- doi:10.21136/MB.2011.141576
Format
- bez média
- svazek
Language
- eng
- eng
Providing country
- Czech Republic
Collection name
First time published on Europeana
- 2021-06-01T12:19:28.026Z
Last time updated from providing institution
- 2021-06-01T12:19:28.026Z