Instability of a Fifth Order Non-Linear Vector Delay Differential Equation With Multiple Deviating Arguments

Abstract

In this work, we study a fifth order non-linear vector delay differential equation with multiple deviating arguments. Some criteria for guaranteeing the instability of zero solution of the equation are given by using the Lyapunov-Krasovskii functional approach. Comparing with the previous literature, our result is new and complements some known results.