International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 3, Pages 589-602
doi:10.1155/S0161171289000724

On stability and boundedness of solutions of a certain fourth-order delay differential equation

Abstract

Using a Razumikhin - type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differential equation. The Lyapunov function constructed for an ordinary fourth-order differential equation is seen to work for the delay system.