ON A FIFTH-ORDER DIFFERENCE EQUATION

被引：0

作者：

Stevic, Stevo ^{[1
,2
]}

Diblik, Josef ^{[3
]}

Iricanin, Bratislav ^{[4
]}

Smarda, Zdenek ^{[5
]}

机构：

[1] Serbian Acad Sci, Math Inst, Knez Mihailova 36-III, Beograd 11000, Serbia

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Brno Univ Technol, Fac Civil Engn, Dept Math & Descript Geometry, Brno 60200, Czech Republic

[4] Univ Belgrade, Fac Elect Engn, Bulevar Kralja Aleksandra 73, Beograd 11000, Serbia

[5] Brno Univ Technol, Fac Elect Engn & Commun, Dept Math, Brno 61600, Czech Republic

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2016年 / 20卷 / 07期

关键词：

Difference equation; equation solved in closed form; asymptotic behavior; RECURSIVE SEQUENCE X(N+1); SOLVABLE SYSTEM; ORDER; PERIODICITY; DYNAMICS; XN+1;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We investigate the following difference equation x(n) = x(n-3)x(n-4)x(n-5)/x(n-1)x(n-2)(a(n) + b(n)x(n-3)x(n-4)x(n-5)), n is an element of N-0, where (a(n))(n is an element of N0) and (b(n))(n is an element of N0) are two real sequences and the initial values x-5,...,x-1 are real numbers. The case when the sequences (a(n))(n is an element of N0) and (b(n))(n is an element of N0) are constant is thoroughly studied. Our results considerably extend some results in the recent literature.

引用

页码：1214 / 1227

页数：14

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