This article explicitly expressed converse theorem of the inverse function differential principle, Based on this theorem, the author proposed one kind of integration, then gave some examples.
本文明确表达了反函数微分法则的逆定理，基于此定理提出一种积分法，并举例说明了其运用方法。
The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. Some results are improved.
本文运用整体反函数理论证明了一类半线性方程边值问题周期解的存在唯一性，推广和改进了已有的一些结果。
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