在一般的条件下，证明了解的存在性，而且得到解及其各导数的高阶一致有效渐近展开式。

Under the general conditions, we prove the existence of the solution and get the asymptotic expansions of the solution and its derivatives, which are uniformly valid for the higher orders.

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讨论了一般微分单项式的导数的值分布，提出一个新的定理，并进行较为详细的证明。

The paper discusses the value distributions of the derivative of differential monomials, presents a new theorem and proves it in more details.

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将拉格朗日插值问题、泰勒插值问题揉合为一体进行综合推广，即高次带导数的插值问题的一般情形；

To extend the interpolation problems of Lagrange and Taylor is the ordinary problem about interpolation with derivatives of higher order;

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