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In this paper we study the boundedness of solutions of some third-order delay differential equation in which is not necessarily differentiable but satisfy a Routh–Hurwitz condition in a closed interval .
We consider certain class of second order nonlinear nonautonomous delay differential equations of the form
and
where , , , , , and are real valued functions which depend at most on the arguments displayed explicitly and is a positive constant. Different forms of the integral inequality method were used to investigate the boundedness of all solutions and their derivatives. Here, we do not require construction of the Lyapunov-Krasovski functional to establish our results. This work...
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