| 奇异微分系统的初值问题及其应用 |
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| 引用本文： | 綦建刚. 奇异微分系统的初值问题及其应用[J]. 宁波大学学报(理工版), 2004, 17(1): 22-27 |
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| 作者姓名： | 綦建刚 |
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| 作者单位： | 宁波大学,理学院,浙江,宁波,315211 |
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| 摘 要： | 利用依赖于解的奇异非线性时间变换，把奇异微分系统转换为非奇异的常微系统，建立了奇异微分系统初值问题解的(非)存在性和惟一性及多解的存在性．一阶和二阶奇异微分方程的初值问题的应用结果与Petio(2000)和Agarwal(1999)的结果相比，条件简单容易验证，且结论更详细。
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| 关 键 词： | 奇异微分系统 柯西问题 存在性 惟一性 |
| 文章编号： | 1001-5132(2004)01-0022-06 |
| 修稿时间： | 2004-02-10 |
Initial Value Problems of Singular Differential Systems with Applications |
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| QI Jian-gang. Initial Value Problems of Singular Differential Systems with Applications[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2004, 17(1): 22-27 |
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| Authors: | QI Jian-gang |
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| Abstract: | Through translating singular differential systems into regular ones with nonlinear transformation, the existence and uniqueness of solutions for the Cauchy problems of singular differential systems are studied. The results can be applied to Cauchy problems of sigular first-order and second-order singular differential equations. Some examples are given to illustrate the main results. |
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| Keywords: | singular differential systems Cauchy problem existence uniqueness |
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