New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations

Abstract

This paper addresses the stability study for nonlinear neutral differential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymptotic stability of the solution. In this work we extend and improve some related results presented in recent works of literature. Two examples are exhibited to show the effectiveness and advantage of the results proved.

Keywords

• contraction mapping principle
• asymptotic stability
• neutral differential equation\looseness1