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

Mathematics

Mymonah S. Alharbi¹  Maryam A. Alghamdi¹  Alaa E. Hamza² 

[1] Department of Mathematics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia;Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt;

关键词: time scales;    second order nonlinear dynamic equations on time scales;    Hyers–Ulam stability;    Hyers–Ulam–Rassias stability;   

DOI  :  10.3390/math9131507

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown