Study On The Oscillation Of Solutions Of A Class Of Higher Order Differential Equations

The oscillation theory of differential equation is one of the important branch of d-ifferential equation, which many scholars researching recently have achieved many good results (see [1]-[24]).Based on the Interval judgment criteria. Integral operator and other methods, the paper take a deep research on some class of high-order differential equation which make some further progress.This thesis is divided into four chapters:In Chapter 1, Preface, we introduce the research background and main issue.In Chapter 2, we study the oscillation of even order neutral differential equations of the form:Based on the operator (?),some new oscillatory criteria are given .In Cppter 3, we investigate the oscillation of solutions to even order neutral differential equations of the form:The paper obtains new oscillatory criteria by mainly using the operator T[g:l,t] and Riccati transformation.In Chapter 4,we introduce the oscillation of even order neutral differential equations of the form:The interval judgment and operator T are used to derive new criteria.