Investigation of the stability via shadowing property (Q1035457)
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scientific article; zbMATH DE number 5624514
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Investigation of the stability via shadowing property |
scientific article; zbMATH DE number 5624514 |
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Investigation of the stability via shadowing property (English)
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3 November 2009
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The authors employ the shadowing property to establish the stability of a certain equation in a normed group. They also prove that the even mapping satisfying the given equation is quadratic as well as establishing the Hyers-Ulam stability of the functional equation in Banach spaces.
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pseudo-orbits
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shadowing property (pseudo-orbit tracing property)
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stability problems for functional equations
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normed group
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Hyers-Ulam stability
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Banach spaces
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