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

Cemil Tunc

doi:10.4067/S0719-06462014000200006

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

Authors

Cemil Tunc Department of Mathematics, Faculty of Science, Yüzüncü YÄ±l University, 65080, Van, Turkey.

DOI:

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

Keywords:

Neutral differential equation, first order, uniform asymptotic stability, Lyapunov functional

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.