Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales

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Abstract: We establish theHyers-Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, which include the continuous (step size zero) and the discrete (step size constant and nonzero) dynamic equations as important special cases. In particular, for certain parameter values in relation to the graininess of the time scale, we find the minimum HUS constants. A few nontrivial examples are provided. Moreover, an application to a perturbed linear dynamic equation is also included.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales ; volume:51 ; number:1 ; year:2018 ; pages:198-210 ; extent:13
Demonstratio mathematica ; 51, Heft 1 (2018), 198-210 (gesamt 13)

Creator: Anderson, Douglas R.
Onitsuka, Masakazu

DOI: 10.1515/dema-2018-0018

URN: urn:nbn:de:101:1-2411181500545.440365688025

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:25 AM CEST

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Anderson, Douglas R.
Onitsuka, Masakazu

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Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales

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Other Objects (12)

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