获得了一类一阶可变号非线性奇异初值问题的新结果。

New existence results are presented for the first-order nonlinear singular initial problems. Here the non-linearity can change the sign.

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文摘：获得了一类一阶可变号非线性奇异初值问题的新结果。

Abstract: New existence results are presented for the first-order nonlinear singular initial problems. Here the non-linearity can change the sign.

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最后文章证明了对带松弛项的流波方程初值问题所作的奇异摄动展开的有效性，得出了有关解的存在性的一些有用的推论。

In the end, we prove the validity of the singular perturbation expansions and get some useful deductions about the existence of the classical solution to the flood wave equations.

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