Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/30334
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| Title: | New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations |
| Authors: | Simões, A.M.
Carapau, F.
Correia, P. |
| Editors: | Alcantud, José Carlos R.
Nunes, Célia
Fonseca, Miguel |
| Keywords: | Banach fixed point theorem
Hyers–Ulam–Rassias stability;
Hyers–Ulam stability; |
| Issue Date: | 2-Nov-2021 |
| Publisher: | MDPI |
| Citation: | Simões, A.M., Carapau, F., Correia, P., New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations, Symmetry, 2021, 13(11): 2068 (https://doi.org/10.3390/sym13112068) |
| Abstract: | In this work, we present sufficient conditions in order to establish different types of Ulam
stabilities for a class of higher order integro-differential equations. In particular, we consider a new
kind of stability, the s-semi-Hyers-Ulam stability, which is in some sense between the Hyers–Ulam
and the Hyers–Ulam–Rassias stabilities. These new sufficient conditions result from the application
of the Banach Fixed Point Theorem, and by applying a specific generalization of the Bielecki metric. |
| URI: | https://www.mdpi.com/journal/symmetry/special_issues/Probability_Statistics_Applied_Mathematics
http://hdl.handle.net/10174/30334 |
| ISSN: | 2073-8994 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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