COMPARISON THEOREMS AND OSCILLATION CRITERIA FOR DIFFERENCE EQUATIONS WITH SEVERAL DELAYS  

作　　者：曾晓云 时宝 张德存 

机构地区：[1]Dept.of Basic Sciences,Naval Aeronautical Engineering Institute,Yantai 264001

出　　处：《Annals of Differential Equations》2003年第4期584-594,共11页微分方程年刊（英文版）

基　　金：Research supported Dy Distinguished Expert Science Foundation of Naval Aeronautical Engineering Institute

摘　　要：In this paper, we first establish the equivalence of the oscillation of the difference equations with several delays of the form:and the second-order difference equations without delay of the form:where {pj(n)} is a sequence of nonnegative real numbers and {ki}i=1m is a set of positive integers. Then we get some 'sharp' conditions for oscillation and non-oscillation of the first equation.In this paper, we first establish the equivalence of the oscillation of the difference equations with several delays of the form:and the second-order difference equations without delay of the form:where {pj(n)} is a sequence of nonnegative real numbers and {ki}i=1m is a set of positive integers. Then we get some 'sharp' conditions for oscillation and non-oscillation of the first equation.

关 键 词：OSCILLATION NON-OSCILLATION difference equations EQUIVALENCE 

分 类 号：O175.8[理学—数学]