On a nonlinear generalized max-type difference equation

被引：87

作者：

Stevic, Stevo ^{[1
]}

机构：

[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 376卷 / 01期

关键词：

Positive solution; Difference equation; Boundedness; Max-type; RECURSIVE SEQUENCE XN+1; GLOBAL STABILITY; BOUNDEDNESS CHARACTER; PERIODIC COEFFICIENTS; POSITIVE SOLUTIONS; MAXIMUM; X(N+1);

D O I：

10.1016/j.jmaa.2010.11.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundedness character of positive solutions of the following max-type difference equation x(n) = max{A, x(n-1)(p)/X-n-k(r)}, n is an element of N-0, where k is an element of N \ {1}, the parameters A and r are positive and p is a nonnegative real number is studied in this paper. Our main results considerably improve results appearing in the literature. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：317 / 328

页数：12

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