一类出现在燃烧理论中的奇摄动边值问题

摘要

研究了一类出现在燃烧理论中的奇摄动边值问题。在一定的条件下，通过选取适当的具有边界层性质和角层性质的函数构造出一对界定函数，应用微分不等式理论证明了具有角层性质的解的存在性，并给出解的渐近估计。%A class of singularly perturbed boundary value problems arising in theory of combustion are studied. Under certain conditions, a couple of bounded functions are constructed by choosing appropriate functions possessing boundary layer behavior and comer layer behavior. The existence of solutions possessing comer layer behavior is oroved and the asymototie estimate of solutions is given using theory of differential inequalities.