| 1. | Fuzzy - valued functions of bounded variations and its differentiability
模糊有界变差函数及其可导性 |
| 2. | Bounded variation mapping
有界变差映射 |
| 3. | Stability of bounded variation solutions to homogeneous linear ordinary differential equations
齐次线性常微分方程有界变差解的稳定性 |
| 4. | In this paper , we spread common abel and dirichlet test . on the point of bounded variation , we can conclude sevral results in infinite integration convegence
摘要推广了一般形式的阿贝尔判别法和狄利克雷判别法，从有界变差的角度得到了判别无穷积分收敛的几个结果。 |
| 5. | Firstly , the voronovskaja type formula of asymptotic expansion of this kind of operators is given . then the approximation of the bounded variation functions by the kinds of operators is discussed
第一节给出该算子的voronovskaja型渐近展开公式；第二节讨论该算子对有界变差函数的逼近。 |
| 6. | In chapter 3 we first show some important distributional characteristics of weak derivatives of bvh and sbvh functions as radon measures and we also give some sufficient and necessary conditions that a bvh function becomes a sbvh function
第三章我们先讨论heisenberg群h ~ n上有界变差函数和特殊有界变差函数的弱导数作为radon测度的若干重要分布特征。 |
| 7. | Motivated by an idea of [ 5 ] , we secondly consider in this chapter the behaviour of u e bvh ( ) composed with a lipschitz function to characterize sbvh fuctions , hence , to make preparation for proving the compactness theorem in the next section
其次讨论heisenberg群上有界变差函数与lipschitz函数的复合行为以刻画特殊有界变差函数。再次，通过建立sbv _ h函数的判据，我们证明bv _ h空间和sbv _ h空间的紧性定理。 |
| 8. | The paper does some discussions on the characteristic which the bounded variation sequence has . ft is found that the monotone sequence is colsely related to it , and very similar with the bounded variation functions , and reach the conclusion as follows : the class of bounded sequence ? the class of convergencal sequence ? the bounded variation sequence ? the hounded monotone sequence
本文主要对囿变数列的特征作一些探讨，我们发现；它与单调数列关系密切，而且与有界变差函数十分类似，并得出如下关系；有界数列类?收敛数列类?囿变数列?单调有界数列。 |
| 9. | In chapter 2 there are four goals : the first is to investigate some geometric properties of h - caccioppoli sets , the second is to characterize the discontinuous set su and jump set ju of u bvh ( ) , the third is to study pointwise behavior of u bvh ( ) and our effort is concentrated on showing approximate differentiability of u in the sense of pansu ' s , while the last and the most important is to show that dhu with u bvh ( ) as a radon measure can be split into three parts ( absolutely continuous part , jump part and cantor part , respectively ) just like the derivative of a bv function in the setting of euclidean space
第二章有四个目标：一是讨论h - caccioppoli集的若干几何性质，二是刻画h -有界变差函数的近似不连续点集和跳跃点集的特征，三是研究u bv _ h ( )的逐点行为，我们集中讨论u在pansu意义下的近似可微性，最后也是最重要的目标我们证明对u bv _ h ( ) ， d _ hu作为radon测度能够分解成绝对连续部分、跳跃部分和cantor部分之和。 |
