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Annales Mathematicae Silesianae
Volume 30 (2016): Issue 1 (September 2016)
Open Access
On the Normal Stability of Functional Equations
Zenon Moszner
Zenon Moszner
| Sep 23, 2016
Annales Mathematicae Silesianae
Volume 30 (2016): Issue 1 (September 2016)
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Published Online:
Sep 23, 2016
Page range:
111 - 128
Received:
Sep 28, 2015
Accepted:
Jan 07, 2016
DOI:
https://doi.org/10.1515/amsil-2016-0001
Keywords
Stability
,
normal stability
,
b-stability
,
uniform b-stability
,
normal uniform b-stability
,
restricted uniform b-stability
,
translation equation
,
exponential Cauchy equation
,
Dhombres’ equation
,
sine
,
cosine and quadratic equations
,
squares of Cauchy and Jensen equations
,
Lobachevski’s equation
,
Pexider’s equation
© 2016 Zenon Moszner, published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In the paper two types of stability and of b-stability of functional equations are distinguished.