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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。
ON THE INVERSE FUNCTION THEOREM 关于反函数定理
inverse function theorem 反函数定理
global inverse function theorem 整体反函数理论
A complete analysis must build on the implicit function theorem. 完整的分析必须建立在隐函数定理的基础上。
Of or relating to an inverse or an inverse function. 反的属于或关于反数或反函数的
Heine theorem and the continuity theorem of inverse function are two important ones. This paper tries to describe them and makes some imporvcmcnts in order to appil them conveniently. 海涅(Heine)定理及反函数连续性定理是数学分析中的两个重要定理,本文试图对它们的描述加以改进,以方便应用。
An integrated maximum value memory and a signal inverse function can be turned on and off at any time by a keyswitch. 最大值记忆功能和信号反转功能可以随时通过按键开关来开启或关闭。
The inverse function of that restricted cosine function is called the arccosine function. 被限定的余弦函数之反函数叫做反余弦函数。
This paper gives a theorem extending usual implic it function theorem.This theorem has larger range of application than usual impl icit function theorem. 对数学分析中的隐函数定理进行了适当的改进，使它的适应范围有所扩大.
The inverse function of that restricted cotangent function is called the arccotangent function. 被限定的余切函数之反函数叫做反余切函数。
Abstract： This paper gives a theorem extending usual implic it function theorem.This theorem has larger range of application than usual impl icit function theorem. 摘要：对数学分析中的隐函数定理进行了适当的改进，使它的适应范围有所扩大.
The inverse function of that restricted sine function is called the arcsine function. 被限定的正弦函数之反函数叫做反正弦函数。
The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion. 运用分歧理论、隐函数定理以及渐近展开的方法，获得了共存周期解的存在性与稳定性的结果。
Then,the system is linearized by variational approach,the local null controllability is proved by applying a generalized implicit function theorem and combining the property of the solution mapping. 首先得到了系统的逼近能控性;然后采用变分方法对系统线性化,再结合解映射的性质,应用推广的隐函数定理,证明系统的局部零能控性;最后给出系统零能控的结论。
This paper introduces the concepts of capacity margin using the inverse function of Edgeworth series,develops the mathematical model based on comparing cumulative capacity margin in unit maintenance period,and presents a maintenance scheduling method. 本文利用 Edgeworth级数的反函数,提出了发电系统中容量裕度的概念; 并以“动态”比较机组大修期间累积容量裕度大小为基础,建立了寻找机组最佳检修区间的数学模型,从而导出了制定发电机组检修计划的方法。
The inverse of multivariate function also plays an important role in topology, for example the inverse function’s key step during creating homeomorphism mapping in mapping testifying problems of set. 由于各函数（一元、二元、多元）的反函数各有不同，研究其反函数就遇到了一定困难，本文在二元函数反函数的基础上，讨论了一元、二元及二元以上的多元函数的反函数的求法及其应用。
This paper give a series Integration formula of indefinite integral by inverse function method, which use the relationship of a function and its inverse function and the Integration by parts. 摘要由原函数与反函数的关系、分部积分公式以及变量代换得出利用反函数法求不定积分的一系列积分公式。
IMPLICIT FUNCTION THEOREM AND UNIFORMIZATION 隐函数定理与单值化
generalized implicit function theorem 隐函数定理