| 二阶线性微分方程的Hyers-Ulam稳定性 |
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| 引用本文： | 薛建明.二阶线性微分方程的Hyers-Ulam稳定性[J].河南科学,2014(5):694-696. |
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| 作者姓名： | 薛建明 |
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| 作者单位： | 昆明理工大学津桥学院,昆明650106 |
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| 基金项目： | 云南省教育厅科学研究基金资助项目（2013C157） |
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| 摘 要： | 利用降阶法和积分法证明了二阶线性微分方程y″(x)=λy′(x)具有Hyers-Ulam稳定性,并在此基础上得出了微分方程y″(x)-λy′(x)=f(x)也具有Hyers-Ulam稳定性.
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| 关 键 词： | Hyers-Ulam稳定性 微分方程 函数方程 |
Hyers-Ulam Stability of Second Order Linear Differential Equations |
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| Xue Jianming.Hyers-Ulam Stability of Second Order Linear Differential Equations[J].Henan Science,2014(5):694-696. |
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| Authors: | Xue Jianming |
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| Institution: | Xue Jianming (Oxbridge College, Kunming University of Science and Technology, Kunming 650106, China) |
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| Abstract: | Using the method of reduction of order and integral method, the Hyers-Ulam stability of second order differential equation y″（x）=λy′（x） is proved. According to the above result, the Hyers-Ulam stability of second order differential equation y″（x）-λy′（x）=f（x） is obtained. |
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| Keywords: | Hyers-Ulam stability differential equation functional equation |
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