2012•Huadong Shifan Daxue xuebao. Ziran kexue banRequires access

Oscillations of a class of third order nonlinear neutral functional differential equations

Han Zhong-yue

Abstract

The oscillations of a class of third order nonlinear neutral functional differential equations was discussed,by using the generalized Riccati transformation and the integral averaging technique;and some new sufficient conditions for oscillations or tends to zero of all solutions of the equations were obtained.The example to illustrate the main results were given.The results extend and improve some known results.

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Key concepts: Nonlinear system, Mathematics, Class (philosophy), Order (exchange), Mathematical analysis, Differential equation, Transformation (genetics), Zero (linguistics)