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2006•Journal of Hunan Institute of EngineeringRequires access

Oscillatory Criteria of a Glass of Second Order Neutral Type Nonlinear Damping Functional Differential Equations

Da-Xue Chen, Shuqing Zhou

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Abstract

Considering the oscillation of a glass of second order neutral type nonlinear daming functional differential equations,and by making use of generalized Riccati transformation,introducing parameter function H(t,s) and using integral averaging technique,several classes of sufficient conditions for the oscillation of all of its solutions are obtained.Some known results in the literature are also extended in this paper.

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What this paper is about

Considering the oscillation of a glass of second order neutral type nonlinear daming functional differential equations,and by making use of generalized Riccati transformation,introducing parameter function H(t,s) and using integral averaging technique,several classes of sufficient conditions for the oscillation of all of its solutions are obtained.Some known results in the literature are also extended in this paper.

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Available abstract

Considering the oscillation of a glass of second order neutral type nonlinear daming functional differential equations,and by making use of generalized Riccati transformation,introducing parameter function H(t,s) and using integral averaging technique,several classes of sufficient conditions for the oscillation of all of its solutions are obtained.Some known results in the literature are also extended in this paper.

Key concepts: Nonlinear system, Oscillation (cell signaling), Type (biology), Mathematics, Transformation (genetics), Order (exchange), Mathematical analysis, Differential (mechanical device)

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