MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS

The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation in the framework of Banach spaces. Using discrete approximation approach, an existence theorem of solutions for the inequality is established under some suitable assumptions.     

Ⅰ阶梯度损伤理论

从热力学基本定律出发,将应变张量、标量损伤变量、损伤梯度作为Helmholtz自由能函数的状态变量,利用本构泛函展开法在自然状态附近作自由能函数的Taylor展开,未引入附加假设,推导出Ⅰ阶梯度损伤本构方程的一般形式．该形式在损伤为0时可退化为线弹性应力-应变本构方程,在损伤梯度为0时可退化为基于应变等效假设给出的线弹性局部损伤本构方程．一维解析解表明,随着应力增大,损伤场逐步由空间非周期解变为关于空间的类周期解,类周期解的峰值区域形成局部化带．局部化带内的损伤变量将不同于局部化带外的损伤变量,由此可以反映出介质的局部化特征．损伤局部化并不是与损伤同时发生,而是在损伤发生后逐渐显现出来,模型的局部化机制开始启动;损伤局部化的宽度同内部特征长度成正比．     

AKNS类发展方程的递推算子自身之间的转换算子

本文通过引入递推算子自身之间的转换算子,证明了由相应的特征值问题的规范变换所导出的位势关系是发展方程的B(?)cklund变换。     

算盘使我走上成功之路

我是一名老珠算迷。为了参加哈市首届珠算比赛，我每天早晨3～4点起床开始练习，晚上打到11-12点，经过两个多月的苦练，胳膊肿了眼睛得了结膜炎，可是功夫不负有心人，在比赛时我得了除算第五名、荣获了省珠算三级证书，以后我又接连参加了好几届市珠算比赛，曾与其他选手一起为工厂夺得工业队团体冠军、亚军等荣誉，我还被评为优胜选手．通过苦练算盘磨练了意志、锻炼了脑力，多年来我一直坚持不使用计算机，不论多大位数的乘除法都用算盘，上街买东西都用心算。在工作巾我也发扬这种拼搏上进的精神，     

区域立体物流网络规划模型与算法

提出长株潭区域立体物流网络建构及其网络优化设计.精细化定义了模式分担率,构建了更切合实际的双准则双层规划模型.下层规划描述各核心城市物流枢纽间基于多模式多层阶交通条件下的用户选择行为,上层规划追求最小化长株潭区域立体物流网络系统广义物流费用并最大化整个网络的物流运输量,以满足城市群区域经济发展对物流提出的更高要求.给出了可以克服Frank-Wolfe方法缺陷的惩罚Lagrange对偶方法求解下层规划算法,设计了基于实数编码和组合变异的双层规划改进遗传算法,算法可以保证搜索到近似全局最优解.     

加速牛顿迭代收敛的新方法

提出了加速牛顿迭代收敛的新思想，构造出一类加权牛顿迭代格式，通过选取最优加权因子，使得该格式具有高阶收敛性和较小的渐近误差常数。     

A GENERALIZED RESULT ON THE POLYNOMIAL-LIKE ITERATIVE EQUATION

Most results on the polynomial-like iterative equation are given under the condition that the given function is monotone,while a work by L.Liu and X.Gong gets nonmonotone PM solutions with height 1 when the given function is of the same case.Removing the condition on height for the given function,we first give a method to assert the nonexistence of C⁰solutions,then present equivalent conditions for the existence of PM solutions with finite height.Finally,as an application of the equivalent conditions,we construct the PM solutions in the case that the given function has one fort.     

ω-Limit Set of a Tree Map

1 IntroductionA tree is any spece whidi is uniquely arcwise connected and homeomorphic to the unionof finitely many copies of the unit interval, that is, a graPh (see [1]) contains no cycles.The dynamics of a tree maP have been studied intensively in recent years (see, fOr instance,[2Al1). The interest in studying maPs on such a one--dimensional space is due to the faCtthat for maPs on manifolds with an invariant foiation of codimension one, the correspondingquotient maP tuxns out to be def…     

Brauer 21问题

利用不可约常特征标(irreducible ordinary characters)数的函数,给出块代数(block algebra)的亏群(defect group)的阶(order)的一个上界.