On a method of the study of specific asymptotic stability of solutions to a sixth-order linear integrodifferential Volterra equation

We state sufficient conditions of the asymptotic stability on the semi-axis of solutions to a linear, homogeneous, sixth-order integrodifferential Volterra-type equation in the case where solutions of the corresponding linear, homogeneous, sixth-order differential equation are asymptotically instable. We also present a new method and an illustrating example.