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INSTABILITY FOR A CERTAIN FUNCTIONAL DIFFERENTIAL EQUATION OF SIXTH ORDER | Tunc | Journal of the Indonesian Mathematical Society 7 396 1 PB

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J. Indones. Math. Soc.

Vol. 17, No. 2 (2011), pp. 123–128.

INSTABILITY FOR A CERTAIN FUNCTIONAL

DIFFERENTIAL EQUATION OF SIXTH ORDER

Cemil Tunc

¸

Department of Mathematics, Faculty of Sciences, Y¨

uz¨

unc¨

u Yıl University,

65080, Van -Turkey, [email protected]

Abstract.Sufficient conditions are obtained for the instability of the zero solution of a certain sixth order nonlinear functional differential equation by the Lyapunov-Krasovskii functional approach.

Key words: Instability, Lyapunov-Krasovskii functional, delay differential equation, sixth order.

2000 Mathematics Subject Classification: 34K20.

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