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具有周期系数的线性微分方程的 Hyers-Ulam 稳定性
董居悦,谢峰

作者	单位	E-mail
董居悦	东华大学理学院, 上海 201620
谢峰	东华大学理学院, 上海 201620	fxie@dhu.edu.cn

摘要:

本文研究了具有周期系数的一阶和二阶线性微分方程的Hyers-Ulam稳定性.利用常数变易法,获得了其Hyers-Ulam稳定性的充分必要条件,推广了具有周期系数的一阶齐次线性微分方程Hyers-Ulam稳定性的相关结果.

关键词: 型稳定性线性微分方程周期系数充要条件

DOI：

分类号:O175.13

基金项目:上海市自然科学基金资助(21ZR1401000).

HYERS–ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS

DONG Ju-yue,XIE Feng

Abstract:

This paper deals with Hyers-Ulam stability (HUS) of first and second order linear differential equations with periodic coefficients. Necessary and sufficient conditions are established for Hyers-Ulam stability of the linear differential equations by means of the constant variation method. The related results of Hyers-Ulam stability for first order homogeneous linear differential equations with periodic coefficients are generalized.

Key words: Hyers-Ulam stability linear differential equations periodic coefficient necessary and sufficient