Exact regions of oscillation for a neutral difference equation with five parameters

被引:1
|
作者
Cheng, SS [1 ]
Lin, YZ
机构
[1] Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan
[2] Fujian Normal Univ, Dept Math, Fujian 350007, Peoples R China
[3] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
关键词
regions of oscillation; characteristic equation; envelope;
D O I
10.1080/10236190008808244
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with a linear difference equation with five parameters, and its associated characteristic polynomial. We consider all possible values of the parameters involved in the polynomial and obtain a complete set of necessary and sufficient conditions for the existence of a positive root, which in term yields a complete set of oscillation criteria for our difference equation.
引用
收藏
页码:513 / 534
页数:22
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