CAJ | 학술논문

本文主要研究了一类带非线性无穷大边界值条件的二阶半线性方程的奇摄动问题。在退化方程的解是（Ⅱ n ）（或（Ⅱ n ）或（Ⅲ n ）或（Ⅲ n ））稳定等条件下，利用界定函数法构造了问题的上、下解，并用微分不等式理论证明了该问题解的存在性，并给出了解的渐近估计。
본문주요연구료일류대비선성무궁대변계치조건적이계반선성방정적기섭동문제。재퇴화방정적해시（Ⅱ n ）（혹（Ⅱ n ）혹（Ⅲ n ）혹（Ⅲ n ））은정등조건하，이용계정함수법구조료문제적상、하해，병용미분불등식이론증명료해문제해적존재성，병급출료해적점근고계。
In this paper ,we study a class of singulary perturbed boundary value problems of second-order semi-linear equations with nonlinear and infinitely-large boundary value conditions . Under the condition that the reduced solution is ( Ⅱ n )(or ( Ⅱ n ) or ( Ⅲ n ) or ( Ⅲ n )) stable ,we construct the upper and lower solutions by making use of the method of bounding functions . Then the existence of the solutions are proved and the asymptotic estimate of solutions are given by the theory of differential inequality .