This article is cited in 2 papers

Instability of solutions for nonlinear functional differential equations of fifth order with n-deviating arguments

Cemil Tunç

Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, Turkey

Abstract: In this paper, we study the instability properties of solutions of a class of nonlinear functional differential equations of the fifth order with n-constant deviating arguments. By using the Lyapunov–Krasovskii functional approach, we obtain some interesting sufficient conditions ensuring that the zero solution of the equations is unstable.

Keywords and phrases: instability, Lyapunov–Krasovskii functional, differential equation, fifth order, n-deviating arguments.

MSC: 34K20

Received: 04.04.2011

Language: English

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