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含多个Volterra型积分算子的积分微分方程组边值问题的奇摄动
引用本文:陈丽华.含多个Volterra型积分算子的积分微分方程组边值问题的奇摄动[J].数学研究,1998,31(3):302-307.
作者姓名:陈丽华
作者单位:福建师大福清分校!福清,350300
摘    要:研究含多个Volterra型积分算子的积分微分方程组Robin边值问题的奇摄动.在适当的条件下,利用微分不等式理论,证明了解的存在及解的按分量一致有效的估计.

关 键 词:积分微分方程组  奇摄动  微分不等式

Singular Perturbation of Boundary Value Problem of Integro-Differential Equations with More Volterra Type of Integral Operator
Chen Lihua.Singular Perturbation of Boundary Value Problem of Integro-Differential Equations with More Volterra Type of Integral Operator[J].Journal of Mathematical Study,1998,31(3):302-307.
Authors:Chen Lihua
Institution:Fuqing Branch of Fujian Normal University
Abstract:In this paper, we study the singular perturbation of Robin boundary value problem of integrodifferential equations with more Volterra type of integral operator. In the appropriate condions, using the theory of differential inequalities, we prow the existence of the solutions and give the uniformly valid estimation of the solutions by component.
Keywords:integro-differential equations  singular perturbation  differential inequality
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