Cauchy existence and uniqueness theorem 柯西存在和唯一性定理
existence and uniqueness theorem 存在和唯一性定理 ; 存在唯一性定理
Picard's existence and uniqueness theorem 皮卡存在和唯一性定理
The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
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