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2009•Czech digital mathematics libraryOpen access

On oscillation criteria for third order nonlinear delay differential equations

Ravi P. Agarwal, Mustafa Fahri Aktaş, Aydın Tı̇ryakı̇

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Abstract

Abstract. In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form( r2 (t) r1 (t)x′)′) ′ + p (t)x ′ + q (t) f (x (g (t))) = 0. We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero. 1.

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Abstract. In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form( r2 (t) r1 (t)x′)′) ′ + p (t)x ′ + q (t) f (x (g (t))) = 0. We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero. 1.

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Available abstract

Abstract. In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form( r2 (t) r1 (t)x′)′) ′ + p (t)x ′ + q (t) f (x (g (t))) = 0. We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero. 1.

Key concepts: Oscillation (cell signaling), Nonlinear system, Delay differential equation, Mathematics, Order (exchange), Differential equation, Mathematical analysis, Third order

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