Stability Behaviour in Functional Differential Equations of the Neutral Type

Abstract

In this study, we examine the behavior of solutions of the neutral functional differential equations. Using a suitable real root of the corresponding characteristic equation, the asymptotic behavior of the solutions and the stability of the trivial solution are explained. Three examples are also provided to illustrate our results.

Keywords

• asymptotic behavior
• functional differential equation
• neutral
• characteristic equation
• stability