Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470658 | Computers & Mathematics with Applications | 2011 | 10 Pages |
Abstract
We provide a complete solution of the problem of Hyers–Ulam stability for a large class of higher order linear functional equations in single variable, with constant coefficients. We obtain this by showing that such an equation is nonstable in the case where at least one of the roots of the characteristic equation is of module 1. Our results are related to the notions of shadowing (in dynamical systems and computer science) and controlled chaos. They also correspond to some earlier results on approximate solutions of functional equations in single variable.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Janusz Brzdȩk, Dorian Popa, Bing Xu,