DOI Number : 10.5614/itbj.sci.2012.44.3.4
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Instability of Non-Linear Functional Differential Equations of Fifth Order

Cemil Tunc

Department of Mathematics, Faculty of Sciences,
Yüzüncü Yıl University, 65080, Van-Turkey

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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.

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