Several Types Of Functional Differential Equations Oscillation And Asymptotic Behavior,

The content of this paper is composed of five Chapters. In the first Chapter, we mainlyintroduce the background and the significance of this study and the recent development forthe functional differential equations.In the second Chapter, we consider the oscillatory and asymptotic behavior, of thesecond order nonlinear neutral differential equations with positive and negative coeffcients.By using some new technology, some new oscillatory criteria are obtained.In the third Chapter,we discuss the existence of the second-order nonlinear neutral dif-ferential equations with distributed delay. By applying comparison and Lebesgue theorems,the existence of criteria of non-oscillatory solutions are obtained.In the fourth Chapter , we discuss the oscillation behavior of the higher order neutraldifferential equations with oscillating coeffcient. By using generalized Riccati transformationand using analytic method, some new oscillation criteria of the equations are obtained. Thesome known results in the literatures are improved and generalized. In the final Chapter,some bounded oscillation criteria are established by constructing a solution of the inequalitycorresponding the equation.