Han Zhenlai. OSCILLATION OF HIGHER ORDER NEUTRAL DELAY DIFFERENCE EQUATIONS. [J]. Journal of University of Jinan(Social Science Edition) (4):52-57(1997)
Han Zhenlai. OSCILLATION OF HIGHER ORDER NEUTRAL DELAY DIFFERENCE EQUATIONS. [J]. Journal of University of Jinan(Social Science Edition) (4):52-57(1997)DOI:
OSCILLATION OF HIGHER ORDER NEUTRAL DELAY DIFFERENCE EQUATIONS
摘要
本文研究了l阶中立型时滞差分方程△
l
(x
n
-c
n
x
n
-m)=(-1)
l
P
n
x
n
-k
n≥n
0
解的振动性
给出了当C
n
≥0 和C
n
≤0 时方程(*)有界解振动的两个充分条件及当C
n
=1时
方程(*)有界解振动的充分必要条件.
Abstract
This paper is concerned with oscillation of / - order neutral difference equationtwo sufficient conditions are obtained for oscillation of equation(*) with cn≥0 and cn≤0
sufficient and necessary conditions is obtained for oscillation of bounded solution of equation (*) with cn≡1.