在第一章中，我们主要利用强单调映象原理和临界点理论对一类非线性四阶两点边值问题进行了讨论。
In chapter I, we mainly use the strongly monotone operator principle and the critical point theory to discuss a kind of fourth-order two-point boundary value problem.
对于非线性四阶两点边值问题建立了一个孪生正解的存在定理。
An existence theorem of twin positive solutions is established for a nonlinear fourth-order two-point boundary value problem.
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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