双曲型时滞偏差分方程解的振动性

Oscillation of Hyperbolic Type Delay Partial Difference Equation

中文关键词:  时滞偏差分方程  振动  特征方程

英文关键词:delay partial  difference equation  oscillation  characteristic equation.

中文摘要:

      本文主要讨论了双曲型时滞偏差分方程(?)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，ｑ_ｉ是实数，ｋ_ｉ，ｌ_ｉ是非负整数，ｕ是一个正整数，ｉ＝１，２，…，ｕ.

英文摘要:

      This paper is concerned with the hyperbolic type delay partial difference equations(?) 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.