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

作者:Brzdek Janusz; Jung Soon Mo*
来源:Abstract and Applied Analysis, 2011, 2011: 602713.
DOI:10.1155/2011/602713

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.

  • 出版日期2011