2010Journal of Binzhou UniversityRequires access

On the Oscillation for Third-order Nonlinear Neutral Functional Differential Equations

YU Yuan-hong

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Abstract

The purpose of this paper is to study the oscillation of third-order nonlinear neutral functional differential equations.By using a generalized Riccati transformation and integral averaging technique,we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero.

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What this paper is about

The purpose of this paper is to study the oscillation of third-order nonlinear neutral functional differential equations.By using a generalized Riccati transformation and integral averaging technique,we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero.

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Available abstract

The purpose of this paper is to study the oscillation of third-order nonlinear neutral functional differential equations.By using a generalized Riccati transformation and integral averaging technique,we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero.

Key concepts: Nonlinear system, Oscillation (cell signaling), Mathematics, Riccati equation, Functional differential equation, Differential equation, Mathematical analysis, Zero (linguistics)

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