Preservation of exponential stability for equations with several delays

Title:

Preservation of exponential stability for equations with several delays

Creator:

Berezansky, Leonid and Braverman, Elena

Identifier:

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

Subject:

exponential stability, nonoscillation, explicit stability condition, and perturbation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

135-144

Source:

Mathematica bohemica | 2011 Volume:136 | Number:2

Harvested from:

CDK

Metadata only:

false