| 1. | A multiplier theorem in weighted spaces on locally compact vilenkin groups
空间的一个乘子定理 |
| 2. | For the travelling waves ( al ) and ( a2 ) , we consider the distribution of spectra for the linearized operator in some weighted spaces
对行波( a1 )和( a2 ) ，我们在加权空间考虑线性化算子的谱分布情况。 |
| 3. | In this article , by use of basic concepts of the weighted space distance , a set of locally linearized models is simply and effectively combined into a global description of a nonlinear plant
本研究藉由空间距离权重的概念，提出简便且有效的方法，结合一组局部线性化模式成为一整体的模式，可准确地代表线性程序。 |
| 4. | By introducing weighted space and using the method of priori estimatehe , uniformly compactness are achieved for s ( t ) in weighted space to overcome the noncom - pactness of the classical sobolev embedding in unbounded domain
在加权空间进行先验估计，获得解算子s ( t )在加权空间紧的有界吸收集，从而在加权空间得到整体吸引子的存在性。 |
| 5. | In the second chapter , the kdv type equation on unbounded domain is considered . applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space , the existence of exponential attractor is obtained
在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的kdv型方程，得到了该方程指数吸引子的存在性 |
| 6. | So , researching new optimization methods for bp neural network is a important task of this paper . we propose a genetic algorithm with a three - level - structure chromosome to optimize the bp neural network ' s topology structure and weighting space at the same time
最为常用的bp神经网络模型本身有许多无法克服的弱点，不利于它在crm中的有效应用，因此，研究新的bp神经网络优化方法是本文的一个重要任务。 |
| 7. | The result of experiment shows that this scheme is feasible . a bp algorithm with smoothing factor is proposed to optimize the weighting space . the result of experiment shows that this scheme is useful for improving the bp neural network ' s generalization ability
对于bp神经网络的优化，本文还提出了一种带平滑因子的bp算法，通过在bp算法中嵌入平滑因子，对权值空间进行平滑优化，并通过实验证明这种方法有助于bp网络性能的提高。 |
| 8. | Because the weight space formed by the bp neural network ' s global error function , which include extreme point , is a hyper - surface , considering the initial parameters of bp neural network ' s structure , so the bp neural network has a inherent deficiency of easily falling into local minimum
由于bp神经网络的全局误差函数构成的权值空间是包含多个极值点的超曲面，加之即网络训练开始网络结构参数是随机给定的，因而bp神经网络在学习训练中容易陷入局部极小。 |
| 9. | Contraposing the manipulator working in weight space , from the point of interactive mechanism between human and object in real world , mathematical model getting interactive force between virtual slave hand and objects in virtual environment . the model can be described by stiffness ^ damp and friction of the object
针对工作于重力空间的从机械手，从人手与物体的接触机理出发，建立了用刚度、阻尼和摩擦描述的虚拟从手与环境物体的交互作用力数学模型。 |
| 10. | Chapter 6 , consider a coupled generalized kdv - burgers equation . in section 6 . 2 , we study the initial - boundary value problem in the semi - unbounded domain , the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time . in section 6 . 3 , the cauchy problem by using the weighted space , the existence of the global attractors for a coupled generalized kdv - burgers in an semi - unbounded domain is proved
第六章，考虑了一类广义耦合的kdv - burgers方程，在第二节中讨论了半无界区域上的初边值问题，证明了整体光滑解和整体吸引子的存在性；在第三节中讨论了cauchy问题，利用加权函数和加权空间上的插值8不等式，证明了半无界区域上整体吸引子的存在性。 |
