Classifying non-oscillatory solutions and oscillation of a neutral difference equation

被引：8
|
作者：
Elizabeth, S
Graef, JR [1 ]
Sundaram, P
Thandapani, E
机构：
[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
[2] Peryiar Univ, Dept Math, Salem 636011, Tamil Nadu, India
[3] Kandaswami Kandars Coll, Dept Math, Velur 638182, Tamil Nadu, India
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2005年 / 11卷 / 07期
关键词：
oscillation; non-oscillation; quasilinear; neutral difference equations;
D O I：
10.1080/10236190412331334491
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors examine the oscillatory and non-oscillatory behavior of solutions of a class of second order difference equations of neutral type that includes half-linear equations as a special case. They classify the possible non-oscillatory solutions according to their asymptotic behavior and then prove the existence of solutions of each type using fixed point techniques. Criteria for almost oscillation, i.e., solutions either oscillate or converge to zero, are also proved. The results are illustrated with examples.
引用
收藏
页码：605 / 618
页数：14
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