| 三阶非线性积分微分方程组边值问题的奇摄动 |
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| 引用本文： | 林苏榕,林宗池.三阶非线性积分微分方程组边值问题的奇摄动[J].福建师范大学学报(自然科学版),2000,16(2):5-10. |
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| 作者姓名： | 林苏榕 林宗池 |
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| 作者单位： | 1. 福建广播电视大学数学科,福建,福州,350003
2. 福建师范大学数学系,福建,福州,350007 |
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| 摘 要： | 研究三阶非线性积分微分方程边值问题的奇摄动，利用渐宾分析方法和对角化技巧，证得解的存在性并给出解的渐近展开式及其余项估计。
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| 关 键 词： | 积分微分方程组 边值问题 奇异摄动 非线性 |
Singular Perturbation of Boundary Value Problem for System of Third Order Nonlinear Integro-differential Equations |
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| LIN Su-rong,LIN Zong-chi.Singular Perturbation of Boundary Value Problem for System of Third Order Nonlinear Integro-differential Equations[J].Journal of Fujian Teachers University(Natural Science),2000,16(2):5-10. |
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| Authors: | LIN Su-rong LIN Zong-chi |
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| Institution: | LIN Su rong 1,LIN Zong chi 2 |
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| Abstract: | By using the asymptotic analysis method and the diagonalization technique,considers the singular perturbation of boundary value problem for system of third order nonlinear integro differential equation.Under appropriate assumptions,the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well. |
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| Keywords: | system of integro differential equation boundary value problem singular perturbation |
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