Oscillation Of Solutions For The Delay Difference Equations With A Nonlinear Neutral Term

The thesis of Master's Degree is composed of three chapters. In the first chapter, We study the existence of positive solutions for delay difference equations with a nonlinear neutral termIn chapter two, the oscillatory behavior of solutions of delay difference equations with nonlinear neutral termis studied firstly in the case. Next tow almost " sharp " oscillatory and nonoscillatory criteria are obtained.In chapter three ,we study the existence of positive solutions for the odd-order delay difference equations with a nonlinear netural termunder the conditions that (a — l)~2 + (p— 1)~2 > 0 and .which generalize the exist results in the literature.Our results improve and extend the all known results in related literature .Moreover the theorems of almost " sharp " oscillatory and nonoscillatory criteria are firstly obtained ,which filla gap in the literature.Some examples given in the paper illutrate the effect of our results.