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奇摄动Volterra型积分微分方程Robin问题
引用本文:张祥.奇摄动Volterra型积分微分方程Robin问题[J].数学季刊,1992,7(3):24-31.
作者姓名:张祥
作者单位:安徽师范大学 芜湖
摘    要:本文利用上、下解证明了Volterra型积分微分方程解的存在性。然后,应用所获得的微分不等式理论,在适当的假设下,通过构造特殊的上、下解函数,证明Volterra型 奇摄动积分微分方程解的存在性,并给出一致有效的解的渐近估计。

关 键 词:奇摄动  Volterra型积分微分方程  Robin问题    存在性  渐近估计  一致有效性  边值问题

The Robin Problem for Singular Perturbed Integral Differential Equations of Volterra Type
Zhang Xiang.The Robin Problem for Singular Perturbed Integral Differential Equations of Volterra Type[J].Chinese Quarterly Journal of Mathematics,1992,7(3):24-31.
Authors:Zhang Xiang
Abstract:In this paper,making use of upper and lower solutions,we first prove the existence of the solu tion for integral differential equation of Volterra type.Then applying the theory of differential in equalities obtained,under the appropriate assumptions,by constructing the special function of upper and lower solutions,we demonstrate the existence of the solution for singularly preturbed integral differential equation of Volterra type,and give the uniformly valid approximate estimation.
Keywords:singular perturbation  differential inequalities  the existence of solution  approxi mate estimation  
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