Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622896 | Journal of Mathematical Analysis and Applications | 2007 | 9 Pages |
Abstract
Making use of a dynamical systems notion called shadowing, we prove a stability result for linear functional equations in metric groups. As a corollary we obtain stability of the quadratic functional equation in the case when the target space is a metric group satisfying some local 2-divisibility condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis