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

• Autorzy: Anderson D. R. , Onitsuka M.

Identyfikatory

DOI

10.1515/dema-2018-0018

• Języki publikacji: EN

Abstrakty

EN

We establish the Hyers-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.

Słowa kluczowe

EN

stability; first order; Hyers-Ulam stability; time scales

PL

stabilność; stabilność Hyersa-Ulama; skala czasu

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2018
• Tom: Vol. 51, nr 1
• Strony: 198--210
• Opis fizyczny: Bbliogr. 28 poz., wykr.

Twórcy

autor

Anderson D. R.

• Department of Mathematics, Concordia College, Moorhead, MN 56562 USA

autor

Onitsuka M.

• Department of Applied Mathematics, Okayama University of Science, Okayama 700-0005 Japan

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).