【摘要】 本文主要讨论了双曲型时滞偏差分方程Ａｍ＋１，ｎ＋（ａ－１）Ａｍ，ｎ＋１－（ｐ＋ａ）Ａｍｎ＋∑ｕｉ＝１ｑｉＡｍ－ｋｉ，ｎ－ｌｉ＝０的所有解振动的充分必要条件和振动性的判别准则，其中ａ－１≠０，ｐ＋ａ＞０，ｑｉ是实数，ｋｉ，ｌｉ是非负整数，ｕ是一个正整数，ｉ＝１，２，…，ｕ更多还原

【Abstract】 This paper is concerned with the hyperbolic type delay partial difference equations A m+1,n +(a-1)A m,n+1 -(p+a)A mn +∑ui=1q iA m-k i,n-l i =0,( E ) where a-1≠0, p+a>0, q i are real numbers, k i and l i are nonnegative integers, i=1,2,…,u, u is a positive integer. Necessary and sufficient conditions and criteria for all solutions of (E) to be oscillatory are obtained.更多还原