Oscillatory and asymptotic behaviour of second order nonlinear difference equations

被引:5
|
作者
Liu, B
Yan, JR
机构
[1] SHANXI UNIV, DEPT MATH, TAIYUAN 030006, SHANXI, PEOPLES R CHINA
[2] HUBEI NORMAL UNIV, DEPT MATH, HUANGSHI 435002, HUBEI, PEOPLES R CHINA
关键词
D O I
10.1017/S0013091500023270
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we are dealing with oscillatory and asymptotic behaviour of solutions of second order nonlinear difference equations of the form Delta(r(n-1)Delta x(n-1))+F(n,x(n))=G(n,x(n) Delta x(n)),n is an element of N(n(0)). Some sufficient conditions for all solutions (E) to be oscillatory are obtained. Asymptotic behaviour of nonoscillatory solutions of (E) is considered also.
引用
收藏
页码:525 / 533
页数:9
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