A General Method for the Ulam Stability of Linear Differential Equations

被引：0
作者：
Yonghong Shen
Yongjin Li
机构：
[1] Tianshui Normal University,School of Mathematics and Statistics
[2] Sun Yat-Sen University,Department of Mathematics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2019年 / 42卷
关键词：
Ulam stability; Linear differential equations; Cauchy–Euler differential equation; Variation of parameters; 34D20; 39B82; 34D10; 34G10;
D O I：
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学科分类号：
摘要：
This paper deals with the Ulam stability of linear differential equations by using the method of variation of parameters, which provides a unified method to study the Ulam stability problem of linear differential equations of n-th order with constant and nonconstant coefficients. As an application of the main results, we also obtain the Hyers–Ulam stability of the Cauchy–Euler differential equations of second order, third order and n-th order. Our results make up to some deficiencies in the relevant literature.
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页码：3187 / 3211
页数：24
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