| 时间尺度上二阶线性动力学方程的一般解与Ulam稳定性 |
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| 引用本文： | 沈永红,黎永锦.时间尺度上二阶线性动力学方程的一般解与Ulam稳定性[J].数学研究及应用,2020,40(5):493-506. |
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| 作者姓名： | 沈永红 黎永锦 |
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| 作者单位： | 天水师范学院数学与统计学院, 甘肃 天水 741001;中山大学数学系, 广东 广州 510275 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11701425; 11971493). |
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| 摘 要： | 本文利用参数变易法研究了时间尺度上二阶变系数线性动力学方程的解与Ulam稳定性问题. 特别地,在不同的系数情形下建立了二阶常系数线性动力学方程的Ulam稳定性理论.
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| 关 键 词： | Ulam稳定性 二阶线性动力学方程 时间尺度 |
| 收稿时间： | 2019/6/30 0:00:00 |
| 修稿时间： | 2020/3/17 0:00:00 |
The General Solution and Ulam Stability of Second Order Linear Dynamic Equations on Time Scales |
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| Yonghong SHEN,Yongjin LI.The General Solution and Ulam Stability of Second Order Linear Dynamic Equations on Time Scales[J].Journal of Mathematical Research with Applications,2020,40(5):493-506. |
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| Authors: | Yonghong SHEN Yongjin LI |
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| Institution: | School of Mathematics and Statistics, Tianshui Normal University, Gansu 741001, P. R. China; Department of Mathematics, Sun Yat-Sen University, Guangdong 510275, P. R. China |
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| Abstract: | By using the variation of parameters, this paper deals with the general solution and Ulam stability of second order linear dynamic equations with variable coefficients on time scales. In particular, we also obtain the Ulam stability of second order linear dynamic equations with constant coefficients under different cases. |
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| Keywords: | Ulam stability second order linear dynamic equations time scales |
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