On the Asymptotic Stability of Solutions for a Certain Non-autonomous Third-order Delay Differential Equation
Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 1 May 2016
10.9734/BJMCS/2016/23936Abstract
In this paper, we shall establish sufficient conditions for the asymptotic stability of the zero solution for a certain nonlinear non-autonomous third-order delay differential equation of the following type + a(t)ẍ + b(t)g(ẋ (t − r(t))) + c(t)h(x(t − r(t))) = 0. By using a Lyapunov functional as a basic technique, we obtain a result which includes and improves some related results in literature. An example is given in the last section of this paper, to illustrate our main result of stability.
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Showing 5 of 14 known citations — external sources report more than can currently be individually listed.
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