具有周期系数的线性微分方程的Hyers-Ulam稳定性OACSTPCD
HYERS-ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
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.
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.
董居悦;谢峰
东华大学理学院,上海 201620
数学
Ulam型稳定性线性微分方程周期系数充要条件
Hyers-Ulam stabilitylinear differential equationsperiodic coefficientneces-sary and sufficient condition
《数学杂志》 2024 (003)
225-235 / 11
上海市自然科学基金资助(21ZR1401000).
评论