【摘要】 利用匹配渐近展开法,讨论一类具有无限长区域的奇摄动问题.根据问题中参数p的变化,分3种情况对方程进行讨论.分别求得问题的外部解的内展开式(yoi)与内部解的外展开式(yio),利用匹配原理求出解的渐近展开式,得到这类问题的一般渐近解,丰富及推广已有文献中相应的结论.更多还原

【Abstract】 Using the matching asymptotic expansion method,this paper discussed a class of singular perturbed problems with unbounded interval.According to the changes of the parameter p in the problems,the paper divided the discussion about the equation into three cases and obtained the interior expansion of outer solution(yo)i and the outer expansion of interior solution(yi)o respectively.Using the matching principle of asymptotic expansion,the paper also got the general asymptotic solutions for this kind of problems,which can richen and expand the corresponding conclusions.更多还原