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

被引：2
作者：
Hamza, Alaa E. [1 ,2 ]
Alghamdi, Maryam A. [2 ]
Alharbi, Mymonah S. [2 ]
机构：
[1] Cairo Univ, Dept Math, Fac Sci, Giza 12613, Egypt
[2] Univ Jeddah, Dept Math, Coll Sci, Jeddah 21589, Saudi Arabia
来源：
MATHEMATICS | 2021年 / 9卷 / 13期
关键词：
time scales; second order nonlinear dynamic equations on time scales; Hyers-Ulam stability; Hyers-Ulam-Rassias stability; LINEAR-DIFFERENTIAL EQUATIONS; FUNCTIONAL-EQUATIONS; 1ST-ORDER;
D O I：
10.3390/math9131507
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页数：11
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