| Along with science’s and technology’s development, the problems about dif-ferential equation have come up from the felds of physics, chemisty, mathemat-ics, biology, medicine, economics, engineering, cybernetics, and these problemshas aroused people’s widespread attention day by day. However, the diferentialequation ofers efective theoretic tools for these problems, and it is a subject ofprofound theories and broad applications. The oscillation of ordinary diferentialequation is one of important branch of diferential equations. It has deep physicalbackground and mathematical models. In the last decades, many scholars takeon the research of this feld, they have achieved many good results.In this paper, we employ a generalized Ricatti transformation, estimationsof inequalities, integral average technique and monotonicity of a function to in-vestigate the oscillation criteria for some class of nonlinear neutral diferentialequations, the results of which generalized and improved some known oscillationcriteria.The thesis is divided into four chapters according to the contents.In Chapter1, we introduce the main contents of this paper.In Chapter2, we are concerned with the oscillation problem of second ordernonlinear neutral diferential equationsTwo examples illustrating the application of our results is also provided.In Chapter3, several oscillation criteria of second order nonlinear diferentialequations are established under the conditionsby employing a generalized Ricatti transformation, integral average technique,estimations of inequalities. Our results generalize and improve some known re-sults in the literature. In Chapter4, new oscillation criteria of n order nonlineardiferential equations... |
