Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability

We solve the functional equation, f(x)=pf(x−1)−qf(x−2), and prove its Hyers-Ulam stability in the class of functions f:ℝ→X, where X is a real (or complex) Banach space.

Bibliographic Details
Main Author: Soon-Mo Jung
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/181678