| 1. | Iterative process for certain nonlinear mappingswith lipschitz condition
条件的非线性映象的迭代过程 |
| 2. | The estimate of the hausdorff dimension of self - similar measure under double lipschitz condition
条件下自相似测度的维数估计 |
| 3. | Fully - coupled forward - backward stochastic differential equations under local lipschitz condition
条件下的正倒向随机微分方程 |
| 4. | In chapters two and three , we generalize lipschitz condition which is satisfied by f " and obtain the results , respectively
本文的第二、三章将尸‘满足的lipschitz条件一般化，得到相应的结果 |
| 5. | In chapter 3 , we study the same problem by majorizing operator technique and obtain some kantorovich - type theorem , which makes lipschitz condition more universal
第三章，我们对同样的问题利用优算子技巧进行研究，建立了另一类kantorovich型的收敛定理，使得lipschitz条件更具普遍性。 |
| 6. | Under certain conditions weaker than the locally lipschitz condition freuently used in the literature , we showed that each hounded solution of such systems had a tendency of equilibrium
在一些比已有文献通常附加的局部李普希兹条件更弱的条件下，证明了此系统的每个有界解趋于某平衡态。 |
| 7. | Studying the uniqueness of the solution of the equation ( 1 ) and the convergence of newton ' s method , we often discuss lipschitz condition which is satisfied by f " or f "
( 2 )弱条件下的newton迭代和变形halley迭代在研究方程( l )的解的唯一性和newton法的收敛性时，我们常常对fl或fl ‘满足的lipschitz条件进行讨论 |
| 8. | Under the same lipschitz condition as for newton ' s method , we give a result on the existence of a unique solution for the nonlinear equation by using a technique based on a new system of recurrence relations
在与kantorovich条件相同的lipschitz条件下，我们通过基于新的递归关系的技巧给出非线性方程解的存在唯一性定理。下面介绍本文的主要内容。 |
| 9. | In chapter 2 , we discuss lipschitz condition which is satisfied by the second frechet - derivative of operator through the use of recurrence relations , so as to make it meaningful in general and get the convergence theorem
第二章，通过运用递归技巧，对算子的二阶fr chet导数满足的lipschitz条件进行讨论，以使其在一般情况下有意义，并得到newton法的收敛性定理。 |
| 10. | The other is a measure dimension estimate for graph - directed iterated function systems when they satisfy the double lipschitz condition and the sosc . we obtain the lower and upper bound estimate for the hausdorff dimension of a list of useful measures
其二是当图迭代函数系统满足双lipschitz条件及强开集条件的情况下，我们得到了一类相应的图吸引子上的测度维数的上下界的估计。 |
