Instability of Non-Linear Functional Differential Equations of Fifth Order Cemil Tunc

Department of Mathematics, Faculty of Sciences,
Yüzüncü Yıl University, 65080, Van-Turkey
Email : cemtunc@yahoo.com

Abstract. In this paper, we study the instability properties of solutions of a kind of functional differential equations of the fifth order with constant delay. Using the Lyapunov-Krasovskii functional approach, we obtain certain sufficient conditions to guarantee that the zero solution of the equation is unstable. 

Keywords: fifth order; functional differential equation; instability; Lyapunov-Krasovskii functional.