<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, sufficient conditions to guarantee the square integrability of all solutions and the asymptotic stability of the zero solution of a...

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

Published Online: Jan 25, 2019

Page range: 81 - 97

Received: Mar 12, 2018

DOI: https://doi.org/10.2478/tmmp-2018-0008

Keywords
uniform ultimate boundedness, square integrability, Lyapunov functional, neutral differential equation of third order

© 2018 John R. Graef et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jan 25, 2019

Page range: 81 - 97

Received: Mar 12, 2018

DOI: https://doi.org/10.2478/tmmp-2018-0008

Keywordsuniform ultimate boundedness, square integrability, Lyapunov functional, neutral differential equation of third order

© 2018 John R. Graef et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
uniform ultimate boundedness, square integrability, Lyapunov functional, neutral differential equation of third order