| 一个奇性常微分方程的初值问题 |
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| 引用本文： | 徐宏廉 陆文端. 一个奇性常微分方程的初值问题[J]. 四川大学学报(自然科学版), 1990, 27(3): 253-259 |
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| 作者姓名： | 徐宏廉 陆文端 |
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| 作者单位： | 四川大学数学系(徐宏廉)，四川大学数学系(陆文端) |
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| 摘 要： | 探讨奇性微分方程y″+ky′/t+λy=f对不同的值k怎样提初始条件才能使初值问题是适定的。对所有k≥0建立了修改初值问题解的存在唯一性定理。
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| 关 键 词： | E－P－D方程 奇性 常微分方程 初值 |
THE INITIAL PROBLEM FOR A SINGULAR DIFFERENTIAL EQUATION |
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| Xu Honglian Lu Wenduan. THE INITIAL PROBLEM FOR A SINGULAR DIFFERENTIAL EQUATION[J]. Journal of Sichuan University (Natural Science Edition), 1990, 27(3): 253-259 |
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| Authors: | Xu Honglian Lu Wenduan |
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| Affiliation: | Department or Mathematics |
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| Abstract: | For the singular differential equation y=f, we discuss the following problem that how to give its iritial condition for different k in order to make initial value problem is well posed, and establish the uniqueness and the existence of the solution of revisional initial value problem. |
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| Keywords: | Euler Poisson Darboux equation singular ordinary differential equation initial value problem well posedness. |
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