Existence and Concentration of Ground States of Coupled Nonlinear Schr(o)dinger Equations with Bounded Potentials

A 2-coupled nonlinear Schr(o)dinger equations with bounded varying potentials and strongly attractive interactions is considered.When the attractive interaction is strong enough,the existence of a ground state for sufficiently small Planck constant is proved.As the Planck constant approaches zero,it is proved that one of the components concentrates at a minimum point of the ground state energy function which is defined in Section 4.     

THE SINGLE-POINT QUENCHING OF NONLINEAR DEGENERATE FUNCTIONAL REACTION-DIFFUSION EQUATION

This article is concerned with the quenching phenomena of the nonlinear degenerate functional reaction-diffusion equation. Some results are obtained on the single-point quenching and the uniqueness of quenching.     

Application of homogenization and large deviations to a parabolic semilinear equation

We study the behavior of the solution of a partial differential equation with a linear parabolic operator with non-constant coefficients varying over length scale δ and nonlinear reaction term of scale 1/?. The behavior is required as ? tends to 0 with δ small compared to ?. We use the theory of backward stochastic differential equations corresponding to the parabolic equation. Since δ decreases faster than ?, we may apply the large deviations principle with homogenized coefficients.     

改进的最小费用理论在盲竖井选址中的应用

在网络的任意点求解绝对中心等特殊点是网络流研究的一个难点.在目前最小费用理论的基础上引入平面几何理论,把网络等效于几何图形,建立了数学模型.通过求解,得出了网络间的最佳连接点,从而确定出盲竖井的位置.最后以云南锡业集团个旧东区两个生产平台之间的连接为一算例,得出了理想的结果,验证了该方法的有效可行性.     

增强传煤行业的社会责任感和紧迫感

通过阐述传媒行业所坚持的原则和道德修养,分析了传媒行业出现的虚假新闻现象,指出传媒行业应按照科学发展观和构建和谐社会的要求,坚持优良传统,弘扬新风正气,抵制歪风邪气,拓宽监督渠道.为实现党的十七大作出的各项重大决策提供强有力的保证.     

关于干部选拔标准的思考

回顾了干部选拔标准的历史演变，对东方和西方国家干部选拔的标准进行了比较，提出了干部选拔标准的模块设计方案。     

广义m级次加泛函族的一致有界原理

定义了ｍ级次加泛函与（广义）ｍ级次泛函数的概念，得出了这类泛函数的一致有界原理，从而推广了拟加泛函数的相应结论。     

电声换能器的失真及其对音质的影响

本文在简述电声换能器工作与理想工作状态的基础上，分析了它的各种失真现象，产生的原因及对音质的影响，并提出防止与减小的失真的措施。     

断裂过程区D—B模型的叠加原理和截荷修正法

提出分析中心裂纹板剪切断裂的断裂过程区D－B模型的叠加原理，考虑了压剪断裂的摩擦阻力和体现有限权宽影响的载荷修正，以非常简便的方法推导出计算断裂过程区长度和位移的公式。     

Theory of optimal consumption and portfolio selection under a Capital-at-Risk (CaR) and a Value-at-Risk (VaR) constraint

The solution to the optimal portfolio selection and consumptionrule subject to Capital-at-Risk and Value-at-Risk constraintsis derived via the use of stochastic dynamic programming.