数学杂志2024，Vol.44Issue(3)：225-235,11.
具有周期系数的线性微分方程的Hyers-Ulam稳定性
HYERS-ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
摘要
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.关键词
Ulam型稳定性/线性微分方程/周期系数/充要条件Key words
Hyers-Ulam stability/linear differential equations/periodic coefficient/neces-sary and sufficient condition分类
数学引用本文复制引用
董居悦,谢峰..具有周期系数的线性微分方程的Hyers-Ulam稳定性[J].数学杂志,2024,44(3):225-235,11.基金项目
上海市自然科学基金资助(21ZR1401000). （21ZR1401000）
