| 奇摄动问题中脉冲状解的“缝接法” |
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| 引用本文： | 倪明康,GURMAN V.I.. 奇摄动问题中脉冲状解的“缝接法”[J]. 数学的实践与认识, 2011, 41(4) |
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| 作者姓名： | 倪明康 GURMAN V.I. |
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| 作者单位： | 1. 华东师范大学,数学系,上海,200241;Institute for Program Systems,RAS
2. Institute for Program Systems,RAS |
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| 基金项目： | National Laboratory of Biomacromolecules,Institute of Biophysics,Chinese Academy of Sciences;RFBR(09-01-00170); 上海市自然科学基金(10ZR1409200); 国家自然科学基金(11071075) |
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| 摘 要： | 讨论了一类含有脉冲状解的奇摄动边值问题.由于这类问题自身的不稳定性而无法采用微分不等式方法.利用边界层函数法构造了形式渐近解,并运用"缝接法"证明了问题解的存在性以及进行了余项估计.
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| 关 键 词： | 奇摄动 脉冲状解 缝接法 |
Sewing Connection Method for Singularly Perturbed Problem with Spike-type Solution |
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| NI Ming-kang,GURMAN V.I.. Sewing Connection Method for Singularly Perturbed Problem with Spike-type Solution[J]. Mathematics in Practice and Theory, 2011, 41(4) |
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| Authors: | NI Ming-kang GURMAN V.I. |
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| Affiliation: | NI Ming-kang~(1,2),GURMAN V.I.~2 (1.Department of Mathematics,East China Normal University,Shanghai 200062,China) (2.Institute for Program Systems,RAS) |
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| Abstract: | A kind of singularly perturbed boundary value problems with spike-type solution is discussed in this article.The differential inequality theorem is not valid because of the instability of the spike-type solution.Using the method of boundary layer function, formal asymptotic solution is constituted.Finally,by sewing connection method not only the existence of the solution is proved but also the estimation of remainder terms is finished. |
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| Keywords: | singularly perturbation spike-type solution sewing connection method |
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