概率约束规划逼近最优解集的几乎处处上半收敛性

对概率约束规划逼近最优解集序列的几乎处处上半收敛性进行讨论．利用概率测度方法建立随机规划模型,将带有约束的随机规划问题转化成与其等价的无约束随机规划问题．以概率测度弱收敛的性质给出概率约束规划可行解的几乎处处收敛性条件,得到概率约束规划逼近最优解集序列的几乎处处上半收敛性．     

一个神经网络模型的三周期波解的存在性

主要研究一个神经网络模型的周期波解问题.首先给出了三周期波解的定义及其相关的引理,其次证明了该模型的波解存在性问题可以转化为相应的偏差分方程解的存在性问题,并建立了此模型存在周期波解的充分性条件.     

区间线性规划的最优解

该文指出了前人定义的区间线性规划最优解所在区间存在的问题,用反例说明其不足之处,给出了求任一介于区间线性规划问题任一最优值对应最优解的算法。     

Elasto-plastic analysis of crack in metallic foams

To determine the solutions of the well-known problem of a finite width strip with single edge crack,some results on elasto-plastic fracture analysis for metallic foams are reported.Meanwhile,in order to discuss and put an insight into the nonlinear fracture analysis,the Dugdale model for plastic deformation of this configuration for metallic foams is recommended and solved.Combining the asymptotic solution with the Dugdale model and elastic solution,the stress field in the plastic zone and the size of the plastic zone are expressed as analytical forms.Based on Williams expansion method,the estimate of the scale factor is also completed and analyzed.In view of these analytical solutions,the results show the scale factor is a useful parameter for the fracture theory of metallic foams.     

一类奇异分数阶微分方程正解的存在性

研究了一类奇异非线性分数阶微分方程的边值问题.首先给出了该问题的格林函数和其所满足的一些性质,然后利用Krasuoselskii锥上的不动点定理和Leray-Schauder选择定理,建立了该方程至少存在1个正解的充分性条件.     

Research of {0001} crystal orientation for magnesium alloys solidified in a fashion of cellular crystals

The magnesium alloy grew in a fashion of cellular crystals during the process of unidirectional solidification, and the {0001} crystal face orientation in the cast ingot of the magnesium alloy was studied. The theoretical model and methodology were set up, and a corresponding experiment was carried out to verify the theoretical analysis results. The experimental results indicate that the {0001} crystal face of magnesium crystals parallels to the width direction for the thin-plate cast ingot when the magnesium grows in a manner of cellular crystals. The separation angle between the {0001} crystal face of magnesium crystals and the vertical axis line of the cast ingot is about 62° for the circular column cast ingot, which distributes in cone-type. The theoretical analysis results are basically in agreement with the experimental ones of previous literatures and this paper.     

Effects of submicron diamonds on the growth of copper in Cu-diamond co-deposition

Submicron diamonds were co-deposited on aluminum substrates with copper from the acid copper sulfate electrolyte by electrolyte-suspension co-deposition.After submicron diamonds were added to the electrolyte,the shape of copper grains transformed from oval or round to polyhedron,the growth mode of copper grains transformed from columnar growth to gradual change in size,and the preferred orientation of copper grains transformed from (220) to (200).Analyzing the variation of cathodic overpotential,it was found that the cathodic overpotential tended to remain unchanged when copper plane (220) grew in the process of electrodepositing pure copper,while it tended to decrease with time when copper plane (200) grew m the process of co-deposition.It was inferred that copper plane (200) was propitious to the deposition of submicron diamonds.     

（3＋1）维Zakharov-Kuznetsov方程的Wronskian形式解

基于Wronskian行列式的形式和结构,提出了Wronskian形式展开法,通过这一方法求出了(3+1)维Zakharov-Kuznetsov(ZK)方程的双孤子解、双三角函数解、Complexiton解、Matveev解和Jacobi椭圆函数解.     

一个二阶非线性中立时滞微分方程的正解

研究了一个二阶非线性中立时滞微分方程,给出了关于此方程正解存在的一些充分条件,其优点在于省略了对任意的a〉0,aQ1（t）-Q2（t）都是最终非负的限制条件。最后通过数值例子说明研究结果的优越性。