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.

引用

页数：11

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