Stability and square integrability of solutions to third order neutral delay differential equations

In: Tatra Mountains Mathematical Publications, vol. 71, no. 1

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

Details:

Year, pages: 2019, 81 - 97

Language: eng

Keywords:

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

Article type: Mathematics

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

Full text

About article:

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.

How to cite:

ISO 690:

Graef, J., Oudjedi, L., Remili, M. 2019. Stability and square integrability of solutions to third order neutral delay differential equations. In Tatra Mountains Mathematical Publications, vol. 71, no.1, pp. 81-97. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0008

APA:

Graef, J., Oudjedi, L., Remili, M. (2019). Stability and square integrability of solutions to third order neutral delay differential equations. Tatra Mountains Mathematical Publications, 71(1), 81-97. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0008

About edition:

Publisher: MÚ SAV

Published: 2. 1. 2019