On θ -Preirresolute Functions

We introduce a new class of functions called -preirresolute functions which is contained in the class of quasi preirresolute functions and contains the class of preirresolute functions. It is shown that p-closedness and -connectedness are preserved by -preirresolute surjections.     

Equilibrium States of Random Economies with Locally Interacting Agents and Solutions to Stochastic Variational Inequalities in 〈L1,L∞〉

We study a stochastic model of an economy with locally interacting agents. The basis of the study is a deterministic model of dynamic economic equilibrium proposed by Polterovich. We generalize Polterovich's theory, in particular, in two respects. We introduce stochastics and consider a version of the model with local interactions between the agents. The structure of the interactions is described in terms of random fields on a directed graph. Equilibrium states of the system are solutions to certain variational inequalities in spaces of random vectors. By analyzing these inequalities, we establish an existence theorem for equilibrium, which generalizes and refines a number of previous results.     

关于循环子半群的结构与数量问题及拟环的特征与结构

彻底解决了所有循环半群及其子群的结构和数量问题,并讨论了拟群分解问题,同时,对群论基本定理作了部分推广,并给出了定理的另一部分不可推广的反例,最后,建立了一类特殊环－拟环。     

Functional differential equations

The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.     

"类流态"现象与裂纹形成

实验发现调质处理和高温淬火的45^#钢试样的裂纹周围均出现了“类流态”胞区,测定了胞区与基体的显微硬度,发现裂纹周围的“类流态”胞区比基体软,利用原子间结合力及薛罗根方程分析了裂纹形成与“类流态”现象相互促进的关系。     

广义凸(h,φ)多目标规划的充分性和对偶性

在两类(h,φ)广义凸函数的假设下, 用分析方法研究(h,φ)多目标规划的最优性条件和对偶问题, 得到了一些充分最优性条件和对偶定理.     

一类反向混合单调算子解的存在唯一性

运用锥与半序理论和非对称迭代方法,讨论半序Banach空间一类反向混合单调算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,作为其应用着重讨论了非反向混合单调算子方程解的存在唯一性,所得结果改进和推广了混合单调算子方程某些已知相应结果.     

一类函数的期望及应用

对一类单调可微的有界函数,利用相对变化率的概念,定义了一种由该函数生成的概率密度函数。讨论了有关数学期望的计算和性质,并给出了在函数上升或下降速度比较中的应用。     

凸度量空间内非线性映射的迭代算法

在凸度量空间内 ,对非线性广义拟压缩映射序列定义了带误差的 lshikawa迭代序列 ,证明了带误差的 lshikawa迭代序列收敛于非线性广义拟压缩映射序列的唯一公共不动点。