SOLVABILITY OF NONLINEAR DIFFERENCE EQUATIONS OF FOURTH ORDER

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 36-3, Belgrade 11000, Serbia

[2] King Abdulaziz Univ, Dept Math, 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, Belgrade 11000, Serbia

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Solution to difference equation; long-term behavior of solutions; undefinable solutions; SOLVABLE SYSTEM; POSITIVE SOLUTIONS; X(N+1); ORDER; XN+1; PERIODICITY; DYNAMICS; X(N);

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we show the existence of solutions to the nonlinear difference equation x(n) = x(n-3)x(n-4)/x(n-1)(a(n) + b(n)x(n-2)x(n-3)x(n-4)), n is an element of N-0, where the sequences (a(n))(n is an element of N0) and (b(n))(n is an element of N0), and initial the values x(-j), j = (1, 4) over bar, are real numbers. Also we find the set of initial values for which solutions are undefinable when a(n) not equal 0 and b(n) not equal 0 for every n is an element of N-0. When these two sequences are constant, we describe the long-term behavior of the solutions in detail.

引用

页数：14

共 49 条

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