We discuss the distribution of zeros of the derivative of bloch functions whose derivative has zeros with multiplicity at least n , and improve the result of ahlfors , liu and minda about the lower bound of bloch constants bn related to these functions 通过研究导函数零点重级至少为n的bloch函数的导函数零点的分布，改进了ahlfors 、 liu和minda关于这类函数的bloch常数b _ n的下界，得到结果：二、 bloch空间上的复合算子。
This thesis study the uniqueness theory of meromorphic functions . with the theory of nevanlinna ' s value distribution , the author analyze and study the unique problems about meromorphic function and its derivative or differential polynomial shared values , two meromorphic functions shared one value , the derivatives of meromorphic functions shared one value or small function , the derivatives of meromorphic functions shared one set . proved several uniqueness theorem , which generalized and improved the results of qiu gandi , brosch , yi hongxun , c . c . yang and wu guirong , 作者应用nevanlinna值分布理论，对函数与其导函数或微分多项式具有公共值，两函数具有公共值，两函数的导函数分担公共值或小函数，以及分担公共值集的唯一性等问题进行了分析和研究，得到了几个唯一性定理，它们分别是邱? ? ， brosch ，仪洪勋，杨重骏，吴桂荣等人的有关结果的推广和改进。
Abstract : this paper discusses the conditional problem of the higher order derivatives depending on more than one function , sovles conditional problem of variation of definite integral constraint by using lagrange ' s method of multipliers , and studies the conditional problem of variation of more than one definite integral constrains 文摘:讨论依赖于多个函数的高阶导函数的泛函的变分问题，并且利用拉格朗日乘子法讨论此类泛函的一种书有定积分约束的条件变分问题的解法.最后讨论有多个定积分约束的条件变分问题
In section two we derived one iterative method for solving the nonlinear equations , proved the properities of the majoring funtion and the convergence of the majoring sequence , gave one variety of iterative methmod and proved it . finally , the convergent condtions with one existed convergent theorem are amended and we also prove its convergence and get its error bounds . at last , it is proved that a midpint mehtod is convenge under the criterion of weak conditon 第三章对于已有的收敛性定理，给出了条件的修正，即去掉了文献[ 5 ]中f ( x )的二级导函数满足- hlder连续这一条件，用递推方法证明了king - werner迭代法收敛，并得到误差估计。
This paper discusses the conditional problem of the higher order derivatives depending on more than one function , sovles conditional problem of variation of definite integral constraint by using lagranges method of multipliers , and studies the conditional problem of variation of more than one definite integral constrains 讨论依赖于多个函数的高阶导函数的泛函的变分问题，并且利用拉格朗日乘子法讨论此类泛函的一种书有定积分约束的条件变分问题的解法.最后讨论有多个定积分约束的条件变分问题
