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Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations
Authors: Maryam A. Alghamdi; Mymonah Alharbi; Martin Bohner; Alaa E. Hamza;

Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

Abstract

We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.

Keywords

Dynamic equations on time scales or measure chains, Linear differential equations in abstract spaces, time scales, first-order linear dynamic equations, Perturbations of ordinary differential equations, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Nonlinear differential equations in abstract spaces, first-order nonlinear dynamic equations

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
gold