Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations

Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations

The purpose of this paper is to establish a new result, which guarantees the asymptotic stability and boundedness of the zero solution and the square integrability of solutions and their derivatives to neutral type nonlinear differential equations of fourth-order. We illustrate our results by an ex...

Full description

Bibliographic Details
Main Authors: Mebrouk Rahmane, Moussadek Remili, Linda D. Oudjedi.
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2019-09-01
Series:Armenian Journal of Mathematics
Subjects:
Lyapunov Functional
Neutral Differential Equations of Fourth Order
Uniform Asymptotic Stability
Square Integrability
Online Access:http://www.armjmath.sci.am/index.php/ajm/article/view/265
Description
Summary:The purpose of this paper is to establish a new result, which guarantees the asymptotic stability and boundedness of the zero solution and the square integrability of solutions and their derivatives to neutral type nonlinear differential equations of fourth-order. We illustrate our results by an example at the end of the paper.
ISSN:1829-1163

Similar Items