On the uniform asymptotic stability to certain first order neutral differential equations

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DOI:

https://doi.org/10.4067/S0719-06462014000200006

Abstract

In this paper, the uniform asymptotic stability of the zero solution of a kind of neutral differential equations is discussed. Based on the Lyapunov functional approach, a new stability criterion is derived, which is delay dependent on two positive constants. The result to be obtained here extends and generalizes the existing ones in the literature.

Keywords

Neutral differential equation , first order , uniform asymptotic stability , Lyapunov functional
  • Cemil Tunc Department of Mathematics, Faculty of Science, Yüzüncü Yıl University, 65080, Van, Turkey.
  • Pages: 111–119
  • Date Published: 2014-06-01
  • Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal

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Published

2014-06-01

How to Cite

[1]
C. Tunc, “On the uniform asymptotic stability to certain first order neutral differential equations”, CUBO, vol. 16, no. 2, pp. 111–119, Jun. 2014.

Issue

Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal

Section

Articles