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.     

Long time dynamics of the 3D radial NLS with the combined terms

In this paper,we study the scattering and blow-up dichotomy result of the radial solution to nonlinear Schrodinger equation(NLS) with the combined terms iu_t+△u=-|u|~4u+|4|~(p-1)u,1+4/3p5 in energy space H~1(R~3).The threshold energy is the energy of the ground state W of the focusing,energy critical NLS,which means that the subcritical perturbation does not affect the determination of threshold,but affects the scattering and blow-up dichotomy result with subcritical threshold energy.This extends algebraic perturbation in a previous work of Miao,Xu and Zhao[Comm.Math.Phys.,318,767-808(2013)]to all mass supercritical,energy subcritical perturbation.     

基于价格选择的集配一体化车辆路径问题研究

在家电的集配一体化过程中,回收价格不仅影响企业的回收成本,而且同样影响车辆路径,然而在家电集配过程中回收价格因素一直未能引起足够的重视.为此,以回收价格为出发点,通过定价系统根据产品可再生利用价值与制造商所给的回收价格的差别研究车辆路径优化问题,建立该问题的数学规划模型,同时结合家电集配一体化的实际性和复杂性的要求设计了改进遗传算法.最后,结合算例进行仿真计算,验证了模型与算法的有效性.     

Blow‐up phenomena in chemotaxis systems with a source term

This paper deals with a parabolic–parabolic Keller–Segel‐type system in a bounded domain of , {N = 2;3}, under different boundary conditions, with time‐dependent coefficients and a positive source term. The solutions may blow up in finite time t^?; and under appropriate assumptions on data, explicit lower bounds for blow‐up time are obtained when blow up occurs. Copyright © 2015 John Wiley & Sons, Ltd.     

Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory

We study global existence and blow up in finite time for a one‐dimensional fast diffusion equation with memory boundary condition. The problem arises out of a corresponding model formulated from tumor‐induced angiogenesis. We obtain necessary and sufficient conditions for global existence of solutions to the problem. Copyright © 2016 John Wiley & Sons, Ltd.     

半线性抛物型方程组解的整体存在性与爆破速率估计

研究了具有非线性热源的半线性抛物型方程组的齐次neumann问题解的爆破性质.利用上下解方法得到了解整体存在的条件与爆破条件,并利用FriedmannMcleod方法建立了爆破速率估计.     

用查找表搜索匹配方法标定CRT

传统的查找表法在标定ＣＲＴ 时,假定ＣＲＴ 单枪作用时所显示颜色的色品坐标恒定不变,而实际上却有较大变化,对标定的精度有较大的影响。因此提出用一种三维搜索匹配方法对查找表法进行改进,提高了ＣＲＴ 的标定精度。     

用列队竞争算法解旅行商问题

给出了列队竞争算法解组合优化问题的框架和确定变异邻域的两条原则。用列队竞争算法解旅行商问题获得了满意的结果,显示出列队竞争算法良好的全局搜索性能。     

Topological sequence entropy for maps of the interval

A result by Franzová and Smítal shows that a continuous map of the interval into itself is chaotic if and only if its topological sequence entropy relative to a suitable increasing sequence of nonnegative integers is positive. In the present paper we prove that for any increasing sequence of nonnegative integers there exists a chaotic continuous map with zero topological sequence entropy relative to this sequence.