A kind of stricter Hyers-Ulam stability of second order linear differential equations of Caratheodory type

被引：7
|
作者：
Yang, Yue [1 ]
Meng, Fanwei [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 115卷 / 115期
基金：
中国国家自然科学基金;
关键词：
Stricter Hyers-Ulam stability; Linear differential equation; Caratheodory type; CONSTANT;
D O I：
10.1016/j.aml.2020.106946
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this article is to establish a kind of stricter Hyers-Ulam stability of second order linear differential equation of Caratheodory type. More explicitly, we prove that if x is an approximate solution satisfying a kind of stricter condition of the differential equation x ''(t) + b(1)x'(t) + b(0)x(t) = f (t) without the assumption of continuity of f(t), then there exists an exact solution of the differential equation near to x. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：7
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