Emmanuel O. Okoronkwo, "On stability and boundedness of solutions of a certain fourth-order delay differential equation", International Journal of Mathematics and Mathematical Sciences, vol. 12, Article ID 607032, 14 pages, 1989. https://doi.org/10.1155/S0161171289000724
On stability and boundedness of solutions of a certain fourth-order delay differential equation
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.
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