【作者】 徐涵；

【导师】 倪明康；

【作者基本信息】 华东师范大学 ， 应用数学， 2006， 硕士

【摘要】 线性奇摄动问题是我们研究最早的奇摄动问题之一，迄今为止已有大量的研究成果面世，详见文献[1]-[4]。文[1]中研究了含有积分边界条件的边值问题的数值解，即：但却没有研究其渐近解。(其中f，g充分光滑)本文利用文[2]的边界函数法对如下含有积分边界条件的边值问题：进行讨论，构造其渐近解，给出解的存在唯一性，并得到其渐近解的误差估计。更多还原

【Abstract】 Linear singular perturbed problems are one of the oldest problems in the study of perturbed problems.Many conclusions have been reached in [1]-[4].The numerical solution of linear singular perturbed problems with integral boundary conditions is studied in [1],for example: But its asymptotic solution isn’t studied.(in which f(t),g(t) are continuous functions.)In this article,we study the following linear singular perturbed problems with integral boundary conditions:Using the method of boundary functions, we construct the formula asymptotic solution, At the same time, the existence of the solution is proved and the error evaluation of the asymp(?)otic solution is obtained.更多还原