Viscosity approximation methods for nonexpansive multimaps in Banach spaces

We prove strong convergence of the viscosity approximation process for nonexpansive nonself multimaps. Furthermore, an explicit iteration process which converges strongly to a fixed point of multimap T is constructed. It is worth mentioning that, unlike other authors, we do not impose the condition ＂Tz = {z}＂ on the map T.     

Dirichlet零边值问题的正解存在性

由于一些本质困难,N=3被称为具Sobolev临界指数2*的Dirichlet问题-△u=λu+|u|2*-2u,x∈ΩRN;u(x)0,x∈Ω;u=0,x∈Ω的临界维数.众所周知,N=3时,上述问题存在古典(正)解的一个充分条件是Ω为R3上的小球以及14λ1λλ1.本文考虑Ω是R3中更一般的有界光滑区域,得出了一正解存在性结论,从而肯定了沈尧天在文中提及的一个未解决的问题.     

非线性混合似变分不等式的扰动近似点-投影算法

In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like inequalities. The convergence criteria of the iterative sequences generated by the new iterative algorithm is also given. Our approach and results generalize many known results in this field.     

Banach空间广义平衡问题和一簇拟(φ)-非扩张映象的强收敛定理

在一致凸和一致光滑的Banach空间中,用综合性算法证明了广义平衡问题和一簇拟(φ)-非扩张映象的公共不动点的强收敛定理.所得结论推广了近期文献中的一些的已知结果.     

Banach空间中度量投影意义下非扩张半群的强收敛定理

在一致凸光滑的Banach空间框架下,利用度量投影,对非扩张半群引入了一个新的混合投影迭代程序,并在适当的条件下,证明了该迭代程序强收敛于该半群的公共不动点.结果改进了Matsushita与Takahashi的主要结果以及其他人的结果.     

带扰动映像的广义平衡问题和不动点问题的混合粘性逼近问题

引入一个用于寻求带扰动映像的广义平衡问题解集以及可数无穷多非扩张映像之族公共不动点集的公共解的新的迭代算法. 证明了由此算法生成的序列的强收敛性. 所得的结果推广改进了先前许多作者的结果.     

A New Dynamics Expansion Mechanism for Plasma during Pulsed Laser Deposition

The dynamics expansion mechanisms for plasma plume generated by pulsed laser radiation are studied in detail, taking account of plasma ionization effect. Based on the consideration of local conservations of mass, momentum, collected as the assumption that plasma can be viewed as compressible ideal fluid and high temperature-high pressure ideal gas, we develop a new dynamics expansion mechanism for plasma produced by pulsed laser radiation. Using the analytical method, the space number density and pressure evolvement of plasma in cylindrical coordinate are obtained, the dynamics evolvement equations are also derived. The results from the present model indicate that the plasma dynamic expansion behaviour can be evidently influenced by the ionization fraction η. Its effect is similar to a new dynamic source for plasma expansion and increases the expansion acceleration in all directions. The predictions of the expansion of the plasma is affected by the temperature, the average atoms mass and the ionization degree of the plasma are consistent with the experimental results.     

无限亚局部循环群及其自同构群

作为之前工作的继续, 本文研究了无限亚局部循环群的结构以及它们的自同构和自同构群. 设 A,B 分别是秩1 的无挠Abel 群, G 为n 阶循环群. 群E 是A 被G 的扩张, G 被A 的扩张或者A 被 B 的扩张. 讨论了群E 的结构以及它们的自同构, 并得到了它们的自同构群.     

新型扩张状态观测器及其噪声抑制的特性分析（英文）

为了提升对快变干扰的估计性能,把输出估计误差的非线性项和切换项作为反馈设计一种新型非线性扩张状态观测器.在对干扰具有相同的估计性能下,新型非线性扩张状态观测器的增益相对较小,因而该新型非线性扩张状态观测器比传统扩张状态观测器拥有更好的噪声抑制性能。仿真结果表明新型扩张状态观测器对干扰的估计误差是传统方法的1/4。     

一类Block型李代数的分类和中心扩张

本文我们决定了一类Block型李代数$\BB$在同构意义下的分类和中心扩张, 其中$q$是一个非零复数. 我们的结果推广了以前的一些结果.