On the Hyers-Ulam Stability of the First-Order Difference Equation
We prove Hyers-Ulam stability of the first-order difference equation of the form xi+1=F(i,xi), where F is a given function with some moderate features. Moreover, we introduce some conditions for the function F under which the difference equation is not stable in the sense of Hyers and Ulam.
| Published in: | Journal of Function Spaces |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Online Access: | http://dx.doi.org/10.1155/2016/6078298 |