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 摘要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。
In mathematics, specifically differential calculus, the inverse function theorem gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain. The theorem also gives a formula for the derivative of the inverse function.