Some Problems Of Oscillation Of Difference Equations

In recent years, a lot of papers appeared about oscillation of diference equa-tions,like fst order diference equations,second order diference equations. but,compared with the higher order of diference equations is no so perfect in thetheory, many areas are not involved, we need to do further study.In this paper, we discuss the oscillation of solutions of diference equationsand the conditions of oscillation. In Chapter2, frstly, by the use of DiscreteKneser’s theorem and other theorem, we study the oscillation of solutions forcertain neutral diference equations; then by the use of the original condition wemake several corollary. In Chapter3, by use of Discrete Taylor’s Formula, westudy the necessary and sufcient conditions for the oscillation of bounded solu-tion or unbounded solution of diference equations.At the same time,we expandthe equation,so it can make the range of its application more widely.