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Research articles

On the instability of solutions of seventh order nonlinear delay differential equations

Cemil Tunç

Yüzüncü Yil University, Van, Turkey

Abstract: A kind of seventh order nonlinear delay differential equations is considered. By using the Lyapunov–Krasovskii functional approach [5], some sufficient conditions are established which guarantee that the zero solution of the equation considered is unstable. Our conditions are new and supplement previously known results.

Keywords and phrases: instability, Lyapunov–Krasovskii functional, delay differential equation, seventh order.

MSC: 34K20

Received: 10.09.2010

Language: English

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