Stability of third order neutral delay differential equations

There are almost no results in mathematical literature on the exponential stability of third-order neutral delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations based on A...

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Bibliographic Details
Main Authors: Domoshnitsky, Alexander, Volinsky, Irina, Levi, Shai, Shemesh, Shirel
Format: Conference Proceeding
Language:English
Subjects:
Delay
Differential equations
Mathematical analysis
Stability
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Summary:There are almost no results in mathematical literature on the exponential stability of third-order neutral delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations based on Azbelev W-transform. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5127464