Stability and Square Integrability of Solutions to third order Neutral Delay Differential Equations

John R. Graef; Linda D. Oudjedi; Moussadek Remili

doi:10.2478/tmmp-2018-0008

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Stability and Square Integrability of Solutions to third order Neutral Delay Differential Equations

Tatra Mountains Mathematical Publications

Volume 71 (2018): Issue 1 (December 2018)

By: John R. Graef, Linda D. Oudjedi and Moussadek Remili

Open Access

|Jan 2019

Abstract

In this paper, sufficient conditions to guarantee the square integrability of all solutions and the asymptotic stability of the zero solution of a non-autonomous third-order neutral delay differential equation are established. An example is given to illustrate the main results.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2018-0008 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 81 - 97

Submitted on: Mar 12, 2018

Published on: Jan 25, 2019

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

uniform ultimate boundedness,

square integrability,

Lyapunov functional,

neutral differential equation of third order

Related subjects:

Mathematics,

General mathematics

© 2019 John R. Graef, Linda D. Oudjedi, Moussadek Remili, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 71 (2018): Issue 1 (December 2018)