Bounded and periodic solutions to the linear first-order difference equation on the integer domain

被引：33

作者：

Stevic, Stevo ^{[1
,2
]}

机构：

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

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

first-order difference equation; bounded solution; periodic solution; difference equation on integer domain; SYSTEM;

D O I：

10.1186/s13662-017-1350-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of bounded solutions to the linear first-order difference equation on the set of all integers is studied. Some sufficient conditions for the existence of solutions converging to zero when n -> -infinity , as well as when n ->+infinity, are also given. For the case when the coefficients of the equation are periodic, the long- term behavior of non-periodic solutions is studied.

引用

页数：17

共 22 条

[1] PERIODIC-SOLUTIONS OF FIRST-ORDER LINEAR DIFFERENCE-EQUATIONS [J].