Existence and Global Attractivity of Periodic Solutions to Some Classes of Difference Equations

被引：6

作者：

Stevic, Stevo ^{[1
,2
,3
,4
]}

Ircanin, Bratislav ^{[5
]}

Kosmala, Witold ^{[6
]}

Smarda, Zdenek ^{[7
]}

机构：

[1] Serbian Acad Sci, Math Inst, Knez Mihailova 36-3, Belgrade 11000, Serbia

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[3] Asia Univ, Dept Comp Sci & Informat Engn, 500 Lioufeng Rd, Taichung 41354, Taiwan

[4] Brno Univ Technol, Fac Elect Engn & Commun, Dept Math, Tech 3058-10, CZ-61600 Brno, Czech Republic

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

[6] Appalachian State Univ, Dept Math Sci, Boone, NC 28608 USA

[7] Brno Univ Technol, CEITEC BUT, Purkynova 656-123, Brno 61600, Czech Republic

来源：

FILOMAT | 2019年 / 33卷 / 10期

关键词：

Difference equation; existence of periodic solutions; global attractivity of periodic solutions; PRODUCT-TYPE SYSTEM; BOUNDED SOLUTIONS; OSCILLATION; INVARIANTS;

D O I：

10.2298/FIL1910187S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and global attractivity of periodic solutions to some subclasses of the following class of difference equations x(n+1) = q(n)x(n) + f(n, x(n), x(n-1), ..., x(n-k)), n is an element of N-0, where k is an element of N-0, (q(n))(n is an element of N0) is a T-periodic sequence (T is an element of N), and f : N-0 x Rk+1 -> R is a T-periodic function in the first variable, which for each n is an element of {0, 1, ..., T - 1} is continuous in other variables, are studied.

引用

页码：3187 / 3201

页数：15

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