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Stability and Boundedness of Solutions of a Certain N-Dimensional Nonlinear Delay Differential System of Third-Order

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Date

2016

Journal Title

Journal ISSN

Volume Title

Publisher

Walter de Gruyter Gmbh

Abstract

In this paper, by defining Lyapunov functionals, we investigate proper sufficient conditions for the uniform stability of the zero solution, and also for the uniform boundedness and uniform ultimate boundedness of all solutions of a certain third-order nonlinear vector delay differential equation of the type (X) triple over dot + A(sic) + A (X) over dot + H(X(t - r)) = P(t).

Description

Tunc, Cemil/0000-0003-2909-8753; Mahmoud, Ayman/0000-0002-7662-1503

Keywords

Uniform Stability, Ultimate Boundedness, Lyapunov Functionals, Vector Differential Equations, Delay Differential Equations

Turkish CoHE Thesis Center URL

WoS Q

N/A

Scopus Q

Q4

Source

Volume

7

Issue

1

Start Page

1

End Page

11