Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901009 | Applied Mathematics and Computation | 2018 | 9 Pages |
Abstract
The present paper deals with Hyers-Ulam stability of the first-order linear difference equation Îhx(t)âax(t)=f(t) on hZ, where Îhx(t)=(x(t+h)âx(t))/h and hZ={hk|kâZ} for the constant stepsize hâ¯>â¯0; a is a real number; f(t) is a real-valued function on hZ. The main purpose of this paper is to find the best HUS constant on hZ. Several relationships between solutions of two different perturbed difference equations are also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Masakazu Onitsuka,