Asymptotic properties of fourth-order nonlinear difference equations

被引：12
|
作者：
Migda, M [1 ]
Schmeidel, E [1 ]
机构：
[1] Poznan Tech Univ, Inst Math, PL-60695 Poznan, Poland
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 39卷 / 11-12期
关键词：
nonlinear difference equation; nonoscillatory solution; fourth order;
D O I：
10.1016/j.mcm.2004.06.002
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider a class of fourth-order nonlinear difference equations of the form Delta(a(n)Delta(b(n)Delta(c(n)Deltay(n)))) + f(n, y(n)) = 0, where a, b,c : N --> R+ and (a(n)) is bounded away from zero, a(n) greater than or equal to c(n), the series Sigma(i=1)(infinity)(1/a(i)) is convergent and Sigma(j=1)(infinity) (1/c(j)) Sigma(i=j)(infinity) (1/b(i)) is divergent. The classification of nonoscillatory solutions is given. Sufficient conditions for the above equation are obtained to admit the existence of nonoscillatory solutions with special asymptotic properties. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1203 / 1211
页数：9
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