| 拟线性积分微分方程系统的奇摄动边值问题 |
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| 引用本文： | 林苏榕.拟线性积分微分方程系统的奇摄动边值问题[J].系统科学与数学,2003,23(1):128-135. |
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| 作者姓名： | 林苏榕 |
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| 作者单位： | 福建广播电视大学计算机系,福州,350003 |
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| 摘 要： | 本文研究高维拟线性积分微分方程系统边值问题的奇摄动,在适当的条件下,利 用渐近分析方法和对角化技巧,证得解的存在性,同时给出解的渐近展开式及其相应的 余项估计.
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| 关 键 词： | 积分微分方程系统 边值问题 奇异摄动 对角化技巧 |
| 修稿时间： | 1999年9月8日 |
SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR SYSTEM OF SEMILINEAR INTEGRO-DIFFERENTIAL EQUATIONS |
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| Su Rong LIN.SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR SYSTEM OF SEMILINEAR INTEGRO-DIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,2003,23(1):128-135. |
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| Authors: | Su Rong LIN |
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| Institution: | Department of Computer, Fujian Broadcasting TV University, Fuzhou 350003,P.R.China |
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| Abstract: | In this paper the singular perturbation of boundary value problem for system of higher dimensional semilinear integro-differential equations has been considered . Under appropriate assumptions by using the asymptotic analysis method and the diagonalization technique, the existence of solution has been proved and asymptotic expansion of the solution and the estimation of the corresponding remainder term are given as well. |
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| Keywords: | Integra-differential equations system boundary value problem singular per- turbation |
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