双曲型和椭圆型偏差分方程振动的充分必要条件

• 来源期刊: 微分方程年刊（英文版）
• 学科: 数学
• 关键词: partial difference equation oscillation characteristic equation
• 年，卷（期）: 2001,（1）
• 页码范围: 42-51
• 页数: 10页
• 分类号: O1
• 语种: 英文

摘要

This paper is concerned with hyperbolic type delay partial difference equation aAm+1,n+1 + bAm,n+1 - pAm,n + a ∑ qiAm-ki,n-li = 0and elliptic type equationaAm+1,n+1 - 2aAm,n+1 - pAm,n + u ∑ qiAm-ki,n-li = 0where a, b,p, qi are real numbers, ki and li are nonnegative integers, a, b,p ≠ 0and not all of qi are zero for 1 ≤ i≤ u. Sufficient and necessary conditions forall solutions of the equation mentioned above to be oscillatory are obtained.