近完美匹配全覆盖点

利用匹配理论中的Gallai—Edmonds结构定理,首先得到了在一个有近完美匹配的图中判定一个顶点为近完美匹配全覆盖点的充要条件,然后对每一个顶点都为近完美匹配全覆盖点的图类给出了一个刻画．同时,也给出了一种构造这类图的方法．     

V a g u e集的F u z z y集分解

Vague集作为Fuzzy集的扩展,将其分解成Fuzzy集是一个值得探讨的问题.定义了Vague集的Fuzzy截集和数与Vague集的运算,在探讨了相应性质的基础上,给出了Vague集的Fuzzy集分解定理并进行了证明.     

一类四阶半正边值问题正解的存在性

运用锥上的不动点定理,讨论四阶常微分方程边值问题y(4)(t)-λf(t,y(t),y″(t))=0 t∈(0,1) y(0)=y(1)=0 ay″(ξ1)-by’’’(ξ1)=0 cy″(ξ2)+dy’’’(ξ2)=0正解的存在性,其中:0≤ξ1<ξ2≤1,f∈C([0,1]×[0,+∞)×(-∞,0],R).     

A INTERESTING SEQUENCE OF REAL NUMBER AND THEIR PROPERTIES

The yandongkai' s 2-stories "v' shape sequence of natural number is generalized to 2-stories and n-stories "v" shape sequence of real number,and some very interesting properties are given.x     

Optimality Conditions and Lagrange Duality for a Class of Vector Extremum Problems

A sufficient and necessary optimality conditions is established for vector extremum problems with set constraint by applying the alternative theorem under generalized subconvexlike maps in orderd locally-convex Hausdorff spaces. Then, several optimality conditions are obtained for differentiable vector extremum problems with set constraint by applying the sufficient and necessary optimality conditions and the properties of the twice G-differentiable functions. And finally, the vector-valued Lagrange duality is obtained for the vector extremum problems.     

A Method of Solving the Structural Fuzzy Finite Element Equilibrium Equations

Based on resolution of interval numbers and fuzzy resolution theorem,we develop a method of solving the structural fuzzy finite element equilibrium equations. A lot of calculations and analyses show,the method presented in this paper is correct and feasible.     

Existence of Periodic Solutions for Reaction-diffusion Systems with Time Delays

Periodic solutions of reaction-diffusion systems with time delays are investigated. The upper and lower control function of nonmonotone reaction term is constructed. It is showed that the function satisfies a global Lipschitz condition and quasimonotone. A sort of effective method of studying differential equation with nonmonotone reaction term is gained. It is shown that periodic solutions of this system exist when reaction-term is not monotone and the boundary value system has a pair of coupled to-upper and lower solutions.     

喷微灌输水管网优化设计

以连续管径和水泵扬程为设计变量，以管网年费用最低为目标函数建立非线性规划模型，采用拉格朗日法求解，获得一组最优管径组合；参考第一级优化的连续管径组合，结合施工中要求的变径数选择标准管径组合，以具有标准管径的管长为决策变量，以管道年费用为目标函数，建立相应的线性规划模型，采用单纯形法求解获得全局最优解。通过实例说明，借助于V1sual-Basic语言编制的该设计程序，设计界面友好，使用直观方便，运行速度快，即使非专业人员也可在短时间内进行工程设计，且适用于任何压力输水管网的设计。     

完整系统三阶Lagrange方程的一种推导与讨论

从牛顿运动方程出发，推导了完整系统关于广义加速度的Lagrange方程.讨论了该方程与传统分析力学中的Lagrange方程的相容性问题.结果显示，三阶Lagrange方程可以通过对Lagrange方程求一阶时间导数得到，表明它们是相容的.因此三阶Lagrange方程提供了一种不同于传统Lagrange方程方法的求解物体运动方程的途径.