用基于度理论的不动点定理，建立了一系列存在唯一性定理。
Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory.
本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。
Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.
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。
The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
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