高阶奇异微分方程的Cauchy问题

Cauchy Problem to The Singular Differential Equations of Higher order

本文考虑高阶奇异微分方程的Ｃａｕｃｈｙ问题。我们利用Ｓｃｈａｕｄｅｒ不动点定理，得到了解的存在性结果，并且在Ｌｉｐｓｃｈｉｔｚ条件下，给出了唯一定理。

ABSTRACT In this paper,we consider the cauchy problem to the singular differential equa-tions of higher order.by using schauder＇s fixed point theorem we obtain the existence resultsof the solutions，and give uniqueness theorem on the lipschitz condition.KEY WORDS singular；cauchy problem；existence；uniqueness