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.
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.
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.
研究了奇异线性系统初值问题解存在唯一的充要条件，并给出了其求解公式。
Sufficient and necessary conditions for existence and uniqueness of solutions for initial value problems of singular system are studied in this paper, and the formula of solution is given.
研究了一类奇异线性系统初值问题可解的充要条件及通解公式，给出了奇异线性系统的化简方法及其简单形式，所得结果统一和推广了正常线性系统的相应结。
The formulas of general solutions and sufficient and necessary conditions of solutions of the initial value problems for a class of singular linear system are studied.
研究了一类奇异线性系统初值问题可解的充要条件及通解公式，给出了奇异线性系统的化简方法及其简单形式，所得结果统一和推广了正常线性系统的相应结。
The formulas of general solutions and sufficient and necessary conditions of solutions of the initial value problems for a class of singular linear system are studied.
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