Oscillation and comparison theorems for half-linear second-order difference equations

被引：32
|
作者：
Thandapani, E [1 ]
Ravi, K
Graef, JR
机构：
[1] Periyar Univ, Dept Math, Salem 636011, Tamil Nadu, India
[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 42卷 / 6-7期
关键词：
comparison theorems; difference equations; half-linear equations; second-order; oscillation;
D O I：
10.1016/S0898-1221(01)00211-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors consider second-order difference equations of the type Delta((Deltay(n))(alpha)) + q(n)y(sigma (n))(alpha) =0, (E) where alpha > 0 is the ratio of odd positive integers, {q(n)} is a positive sequence, and {sigma (n)} is a positive increasing sequence of integers with sigma (n) --> infinity as n --> infinity. They give some oscillation and comparison results for equation (E). (C) 2001 Elsevier Science Ltd. All rights reserved.
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页码：953 / 960
页数：8
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