| 脉冲周期边值问题拟线性化方法 |
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| 引用本文： | 柴国庆. 脉冲周期边值问题拟线性化方法[J]. 系统科学与数学, 2003, 23(3): 390-397 |
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| 作者姓名： | 柴国庆 |
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| 作者单位： | 湖北师范学院数学系,黄石,435002 |
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| 基金项目： | 湖北省高等学校自然科学重点项目基金(2000B08003) |
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| 摘 要： | 本文用拟线性化方法研究了一阶脉冲周期边值问题,获得了解的存在唯一性及解的逼近序列的一致收敛性和平方收敛性结果。
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| 关 键 词： | 拟线性化方法 脉冲周期边值问题 平方收敛 |
| 修稿时间： | 2000-10-24 |
QUASILINEARIZATION METHOD FOR IMPULSIVE PERIODIC BOUNDARY VALUE PROBLEMS |
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| Guo Qing CHAI. QUASILINEARIZATION METHOD FOR IMPULSIVE PERIODIC BOUNDARY VALUE PROBLEMS[J]. Journal of Systems Science and Mathematical Sciences, 2003, 23(3): 390-397 |
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| Authors: | Guo Qing CHAI |
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| Affiliation: | Department of Mathematics, Hubei Normal University, Huangshi 435002,P.R.China |
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| Abstract: | The periodic boundary value problem for first order impulsive equation is investigated by means of quasilinearization method. The existence and uniqueness of solution is obtained. The result on the uniform convergence and quadric convergence for the iterative sequence of solutions is established. |
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| Keywords: | Quasilinearization method impulsive periodic boundary value problem quadric convergence. |
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