| 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). |
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| HYERS–ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS |
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DONG Ju-yue, XIE Feng
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College of Science, Donghua University, Shanghai 201620, China
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| 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 |
