Oscillation For One Kind Of Differential Equations With Positive And Negative Coefficients

In research of the qualitative theory of difference equation and functional differentialequation, the oscillation is an important component. In real life, such as biologicalmathematics, economics, physics and other subjects, a large number of the models have beenapplied to difference equations and functional differential equations as mathematical model todescribe.This paper studies the oscillation for first order neutral delay differential equations withpositive and negative coefficients, ocillation for first order neutral differential equations withpositive and negative coefficients, the oscillation for third order dampe term differentialequations with positive and negative coefficients,and view the oscillation for higher Orderdampe term differential equations with Positive and Negative Coefficients, the rich in theliterature have concluded.Firstly, we introduce the historical background of differential equations and itsoscillation theory. research status and innovates of differential equations,as well as majorresearch content of this paper.Secondly, we explore the oscillation for first order neutral delay differential equationswith positive and negative coefficients, sufficient conditions for the oscillation of thisequation are obtained, which extend the results of the equations.Thirdly, we consider the oscillation for first order neutral differential equations withpositive and negative coefficients, sufficient conditions for the oscillation of this equation areobtained, which extend the results of the equations.Finally, we study the oscillation for third order dampe term differential equations withpositive and negative coefficients and view the oscillation for higher Order dampe termdifferential equations with Positive and Negative Coefficients, the results of the equations isextended.