Existence and iterative algorithms of solutions for generalized mixed quasi-variational inequalities

１　ＰｒｏｂｌｅｍｓＬｅｔＨｂｅａｒｅａｌＨｉｌｂｅｒｔｓｐａｃｅｗｉｔｈｎｏｒｍａｎｄｉｎｎｅｒｐｒｏｄｕｃｔｓｄｅｎｏｔｅｄｂｙ‖·‖ａｎｄ〈·,·〉ｒｅｓｐｅｃｔｉｖｅｌｙ．ＬｅｔＫｂｅａｃｌｏｓｅｄｃｏｎｖｅｘｓｕｂｓｅｔｉｎＨａｎｄｆ：Ｈ→Ｈｂｅａｓｉｎｇｌｅｖａｌｕｅｄｍａｐｐｉｎｇ．Ｔｈｅｃｌａｓｓｉｃａｌｖａｒｉａｔｉｏｎａｌｉｎｅｑｕａｌｉｔｙｐｒｏｂｌｅｍ（ＶＩＰ（ｆ,Ｋ））ｉｓｔｏｆｉｎｄ＾ｘ∈Ｋ（＾ｘ）,ｓｕｃｈｔｈａｔ〈ｆ（＾ｘ）,ｙ－＾ｘ〉≥０　　（ｙ∈Ｋ）．（１）…     

On the Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings in Banach spaces

The purpose of this paper is to introduce and study the existence of solutions and convergence of Mann and Ishikawa iterative processes for a class of variational inclusions with accretive type mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results by Chang, Ding, Hassouni, Kazmi, Siddiqi, Zeng et al. Foundation item: the National Natural Science Foundation of China (19771058)     

Energy theorems for solving equations of deflections

In this paper the unit-dummy-load method is generalized on the basis of Castigliano’s Theorem. On these grounds the general eguations of deflection surfaces of the structures, such as a kind of beams,plates and shells, are directly derived by the force method.We derived the eguations of the deflection surfaces of the rectangular thin plates and thick plates considering the effect of transverse shearing deformations with the inhomogeneous displacement boundary conditions. At the same time we give the equations of deflection axes of the corresponding straight beams.The applications of the reciprocal theorem are also generalized.Three simple calculated examples are given.     

An iteration method for integral equations arising from axisymmetric loading problems

Let the concentrated forces and the centers of pressure with unknown density functions x(ξ) and y(ξ) respectively be distributed along the axis z outside the solid, then one can reduce an axismmetric loading problem of solids of revolution to two simultaneous Fredholm integral equations. An iteration method for solving such equations is duscussed. A lemma equivalent to E. Rakotch’s contractive mapping theorem and a theorem concerning the convergent proof of the iteration method are presented.     

间隙线性反馈控制混沌

提出了两种控制混沌的线性间隙反馈方法.该方法由控制相和非控制相组成,通过选取合适的反馈系数和控制相时间,可以获得各种不同的所需稳定的周期轨道.分别对一维的声光双稳系统和二维的类Henon吸引子进行计算机模拟,表明该方法可以使既定的系统按照给定的周期轨道演化,并且是大范围可控的. 关键词： 间隙线性反馈 混沌 类Henon映射 Lyapunov指数     

不同知识引出方法对科学概念结构表征的影响——来自多维标度法的证据

不同知识引出方式对获得的群体概念结构的影响,是概念结构研究中重要且未解决的问题。以17名中学化学教师为被试,通过自由分类、概念构图和语义相关性评定,引出被试对15个与原子相关概念的认识,并以多维标度法分析群体概念结构。研究发现:由不同知识引出方式获得的群体概念结构具有不同的特点,通过语义相关性评定获得的群体概念结构更适合呈现科学概念具有复杂关系的特点。研究结果有助于研究者选择合适的研究方法,实施更有效的群体概念结构研究。     

CCl3Br光解动力学的离子速度影象研究

为建立高分辨的离子速度影象装置,进行了“离子透镜”的精确设计,得到了“将离子源空间分布中速度相同而位置不同的离子聚焦在同一点上”的效果．同时在新建立的装置上研究了CCl3Br在267肿附近的光解反应产物Br(^2P3／2)和Br(^2P1／2)的速度和角度的分布．利用实验得到的各向异性参数β(Br)=-0．48,β(Br)=1．44,讨论和分析了分子可能的解离通道．     

渐近非膨胀映象的收敛性问题

在一致凸的Banach空间中,使用了一种新的证明方法研究了渐近非膨胀映象具误差的修正Mann和Ishikawa迭代程序的收敛性问题;并且不要求定义域和值域有界,迭代系数更为简单．     

Stampacchia广义向量拟均衡问题

讨论了Stampacchia广义向量拟均衡问题,并在适当的条件下,得出了解的存在性定理,这些结果推广和统一了类似问题的一些结果。     

水稻苯达松敏感致死基因bel的初步定位

选用30个SSR标记对水稻苯达松敏感致死基因（bel）进行定位研究,初步将bel基因定位于水稻第3染色体上RM5475和RM6759两个SSR标记之间,与RM5475标记的遗传距离为4．3cM,与RM6759标记的遗传距离为5．2cM。