OSCILLATION OF ADVANCED DIFFERENCE EQUATIONS WITH VARIABLE COEFFICIENTS

• 作者: 朱德明 李先义
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: OSCILLATION ADVANCED DIFFERENCE equation variable COEFFICIENT
• 年，卷（期）: 2002,（3）
• 页码范围: 254-263
• 页数: 10页
• 分类号: O175

摘要

The oscillations of the advanced difference equationsxn - xn-1 - p(n)xn+k = 0, n ≥ 0, (*)andXn - Xn-1 - ∑i=1mpi(n)xn+ki=0, n ≥0, (**)are investigated, where p(n),pi(n)(i = 1,2,..., m) are nonnegative real numbers. First. a sufficienet condition for the oscillation of equation (*) is obtained, then the result is generalized to the equation (**). At last, an example is given to illustrate the advantages of our results. Our results are new.