关键词: 有界解, 奇异微分方程, 渐近条件, Schauder不动点定理

Abstract: Applying Schauder fixed point theorem, the author considered a class of secondorder singular differential equation with asymptotic conditions, proved the existence of bounded solutions, and generalized the conclusion of bounded solutions of the arctic circulation model to general second\|order singular differential equations.

Key words: bounded solution, singular differential equation, asymptotic condition, Schauder fixed point theorem