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

Emmanuel O. Okoronkwo

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-14

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.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:607032

DOI: 10.1155/S0161171289000724

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