| 时标上线性回归型微分方程的倒向问题 |
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| 引用本文： | 彭云飞,张培勇.时标上线性回归型微分方程的倒向问题[J].贵州科学,2011,29(2):5-9. |
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| 作者姓名： | 彭云飞 张培勇 |
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| 作者单位： | 贵州大学理学院数学系,贵州,贵阳,550025 |
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| 基金项目： | 国家自然科学基金，霍英东教育基金，省基金 |
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| 摘 要： | 本文讨论了线性回归型微分方程倒向问题的古典解的存在性.基于变限积分函数的讨论,引进弱解,给出弱解的表达式并研究弱解的性质.同时,揭示了线性回归型微分方程倒向问题是另一类线性回归型微分方程Cauchy问题的共轭方程.
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| 关 键 词： | 时标 倒向问题 共轭方程 变限函数 弱解 |
The Backward Problem of Linear-regression Differential Equations on Time Scales |
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| PENG Yun-fei,ZHANG Pei-yong.The Backward Problem of Linear-regression Differential Equations on Time Scales[J].Guizhou Science,2011,29(2):5-9. |
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| Authors: | PENG Yun-fei ZHANG Pei-yong |
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| Institution: | (Mathematics Department, Guizhou University, Guiyang, Guizhou 550025, China) |
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| Abstract: | In this paper, a classics solution of the backward problem to linear-regression differential equations on time scales is considered. The weak solution of the backward problem is introduced based on discussing variable limit integral function, and its properties are also given. At the same time, we obtain that the backward problem to linear-regression differential equation is just an adjoint equation of the Cauchy problem to another linear-regression differential equation. |
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| Keywords: | time scales backward problem adjoint equation variable limit function weak solution |
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