A Note on Stability of an Operator Linear Equation of the Second Order

被引：31

作者：

Brzdek, Janusz ^{[2
]}

Jung, Soon-Mo ^{[1
]}

机构：

[1] Hongik Univ, Math Sect, Coll Sci & Technol, Jochiwon 339701, South Korea

[2] Pedag Univ, Dept Math, PL-30084 Krakow, Poland

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

基金：

新加坡国家研究基金会;

关键词：

HYERS-ULAM STABILITY; FUNCTIONAL-EQUATION; RECURRENCE;

D O I：

10.1155/2011/602713

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some Hyers-Ulam stability results for an operator linear equation of the second order that is patterned on the difference equation, which defines the Lucas sequences (and in particular the Fibonacci numbers). In this way, we obtain several results on stability of some linear functional and differential and integral equations of the second order and some fixed point results for a particular (not necessarily linear) operator.

引用

页数：15

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