Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations

被引：28
|
作者：
Stevic, Stevo [1 ,2 ]
机构：
[1] Serbian Acad Sci, Math Inst, Knez Mihailova 36-3, Belgrade 11000, Serbia
[2] King Abdulaziz Univ, Dept Math, Operator Theory & Applicat Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
来源：
SYMMETRY-BASEL | 2017年 / 9卷 / 10期
关键词：
linear second-order difference equation; bounded solution; contraction mapping principle; integer domain; ASYMPTOTIC-BEHAVIOR; SYSTEM; EXISTENCE; SEQUENCE;
D O I：
10.3390/sym9100227
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
By using some solvability methods and the contraction mapping principle are investigated bounded, as well as periodic solutions to some classes of nonhomogeneous linear second-order difference equations on domains N-0, Z \ N-2 and Z. The case when the coefficients of the equation are constant and the zeros of the characteristic polynomial associated to the corresponding homogeneous equation do not belong to the unit circle is described in detail.
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页数：31
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