多值拟线性椭圆型微分方程的近似解

作为非线性多值椭圆型方程的一个模型，讨论了一类多值拟线性椭圆型微分方程边值问题，给出了它的解的定义，证明了它的解及其近似解的存在性，以及近似解的收敛性．在数值实例中，还给出了求解的具体实施步骤，数值计算表明，理论分析与数值结果一致．     

基于管家式-集约化通信运维平台的设计与实现

随着国网信息化工程建设的推进,越来越多信息系统需要上线转运行,在国网信息化水平踏上新台阶的同时,对于信息运维水平、标准化程度、规范性提出了更高的要求。因此,基于业务与运行保障为中心,研究采用跨平台的J2EE技术结合B/S模式开发环境下的自动化运维平台,设计“管家式-集约化”运维平台整体的技术架构和功能模块,集成了优秀的开源运维工具,给出了部分典型流程并分析其应用成效,最后顺利通过机理评估,该平台实现既有成功整合目前现有分散的专业运维管理子系统的“管家”功能,又改变过去以设备为对象的监控,打破过去各设备系统独立管理的模式,起到“集约”监控作用,形成统一的运维智能监控一体化平台,力图为电企信息运维服务提供高效支撑平台。     

时变竞争系统解的渐近性质

本文研究时变竞争系统解的渐近性质．对于周期为ω的时变系统．我们得到存在一个正的ω周期解且它是全局吸引的充分条件．     

Analysis of stability and bifurcation for an SEIV epidemic model with vaccination and nonlinear incidence rate

In this paper, a delay-differential mathematical model that described HIV infection of CD4⁺ T cells is analyzed. The effect of time delay on stability of the equilibria of the infection model has been studied. And the sufficient criteria for stability switch of the infected equilibrium and the local and global asymptotic stability of the uninfected equilibrium are given. By using the geometric stability switch criterion in the delay-differential system with delay-dependent parameters, we present that stable equilibria become unstable as the time delay increases. Numerical simulations are carried out to explain the mathematical conclusions.     

Existence for positive solutions of second-order neutral nonlinear differential equations

We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated.