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
AGARWAL, RP
POPENDA, J
[J]. MATHEMATICAL AND COMPUTER MODELLING, 1995, 22 (01) : 11 - 19
[2] Andruch-Sobilo A, 2006, OPUSC MATH, V26, P387
[3] [Anonymous], 1966, Differential and Difference Equations
[4] [Anonymous], 2000, Difference Equations and Inequalities. Theory, Methods and Applications
[5] On impulsive Beverton-Holt difference equations and their applications
Berezansky, L
Braverman, E
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (09) : 851 - 868
[6] Brand L., 1955, AM MATH MON, V62, P489, DOI [10.2307/2307362, DOI 10.2307/2307362]
[7] Demidovich B. P., 1989, PROBLEMS MATH ANAL
[8] Eventually constant solutions of a rational difference equation
Iricanin, Bratislav
Stevic, Stevo
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 854 - 856
[9] Jordan C., 1956, CALCULUS FINITE DIFF
[10] KARAKOSTAS G. L., 1993, Differ. Eqs. Dyn. Syst., V1, P289

← 1 2 3 →