拟线性积分微分方程系统的奇摄动边值问题

林苏榕

系统科学与数学 ›› 2003, Vol. 23 ›› Issue (1) : 128-135.

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系统科学与数学 ›› 2003, Vol. 23 ›› Issue (1) : 128-135. DOI: 10.12341/jssms09666
论文

拟线性积分微分方程系统的奇摄动边值问题

    林苏榕
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SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR SYSTEM OF SEMILINEAR INTEGRO-DIFFERENTIAL EQUATIONS

    Su Rong LIN
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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.

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 asympototic expansion of the solution and the estimation of the corresponding trmainder term are given as well.

关键词

积分微分方程系统 / 边值问题 / 奇异摄动 / 对角

Key words

Integra-differential equations system / boundary value problem / singular per- turbation

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林苏榕. 拟线性积分微分方程系统的奇摄动边值问题. 系统科学与数学, 2003, 23(1): 128-135. https://doi.org/10.12341/jssms09666
Su Rong LIN. SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR SYSTEM OF SEMILINEAR INTEGRO-DIFFERENTIAL EQUATIONS. Journal of Systems Science and Mathematical Sciences, 2003, 23(1): 128-135 https://doi.org/10.12341/jssms09666
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