Types Of Neutral Difference Equations Of Qualitative Research

This paper consist of four chapters. We respectively discuss thequalititive behavior of the following neutral difference equations:n?2In chapter 1, we obtained necessary and sufficient conditions forthe oscillation of the difference equation(J); and we discussed theasymptotic behavior of equation (II) in chapter 2; in chapter 3, we studythe existence of positive solutions of equation (III) ;in chapter 4, wediscuss the oscillatory behavior of the equacation (IV).