Fourth-order Delay Differential Equations Research Articles

On the stability of solutions to a certain fourth-order delay differential equation

By the use of the Liapunov functional approach, a new result is obtained to ascertain the asymptotic stability of zero solution of a certain fourth-order non-linear differential equation with delay. The established result is less restrictive than those reported in the literature.

On stability of solutions of certain fourth-order delay differential equations

By the use of the Liapunov functional approach, a new result is obtained to ascertain the asymptotic stability of zero solution of a certain fourth-order non-linear differential equation with delay. The established result is less restrictive than those reported in the literature.

On the stability of solutions of certain fourth order delay differential equations

The paper gives sufficient conditions for the asymptotic stability of the zero solutions of systems (1) and (2). By constructing Lyapunov functionals, we obtained the results in a very simple form.

On stability of solutions of some third and fourth order delay-differential equations

The asymptotic stability of solutions of a class of third and fourth order delaydifferential equations is presented. The results are an extension to Krasovskii's second order system.