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摘要: 对一类比较一般的施图姆-刘维尔型奇摄动问题,~%揭示了其脉冲解的存在性,~并相应地给出了脉冲解的存在性条件.~%利用边界层函数法构造其一致有效渐近解,~以及进行余项估计.~%最后通过一个例子来进一步验证前面的结论.Abstract: The existence of spike-like solutions of a class ofSturm-Liouville singularly perturbed problem was investigated andits sufficient condition was given. Meanwhile, the uniformly validasymptotic solutions were constructed by the method of boundarylayer functions and remainder estimation was presented. Finally, anexample was given to illustrate the obtained results.
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