On Hyers–Ulam and Hyers–Ulam–Rassias Stability of a Nonlinear Second-Order Dynamic Equation on Time Scales

Alaa E. Hamza, Maryam A. Alghamdi and Mymonah S. Alharbi
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Alaa E. Hamza: Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
Maryam A. Alghamdi: Department of Mathematics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
Mymonah S. Alharbi: Department of Mathematics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia

Mathematics, 2021, vol. 9, issue 13, 1-11

Abstract: In this paper, we obtain sufficient conditions for Hyers–Ulam and Hyers–Ulam–Rassias stability of an abstract second–order nonlinear dynamic equation on bounded time scales. An illustrative example is given to show the applicability of the theoretical results.

Keywords: time scales; second order nonlinear dynamic equations on time scales; Hyers–Ulam stability; Hyers–Ulam–Rassias stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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