检索结果-南通市图书馆

A lower semicontinuity Result for Some Integral Functionals in the Space SBD

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2008年第2期24卷 297-304页

作者： Zhong-xue Lu Xiao-ping Yang Min-ling Zheng School of Mathematical Science Xuzhou Normal University Xuzhou 221116 China School of Science Nanjing University of Science and Technology Nanjing 210094 China School of Science Huzhou Teacher College Huzhou 313000 China

In this paper, we obtain a lower semicontinuity result with respect to the strong L1-convergence of the integral functionals F（u,Ω）=Ωf（x,u（x）,εu（x））dx defined in the space SBD of special functions with bounded deformation. Here Su represents the absolutely continuous part of the symmetrized distributional derivative Eu. The integrand f satisfies the standard growth assumptions of order p 〉 1 and some other conditions. Finally, by using this result,we discuss the existence of an constrained variational problem.

关键词： SBD space integral functionals lower semicontinuity

lower semicontinuity of the Solution Sets to Parametric Generalized Vector Equilibrium Problems

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 2011年第3期31卷 411-419页

作者： Jing Zhe LI Hong Wei LIANG Dan ZHAO College of Mathematics and Statistics Chongqing University Chongqing 401331 P. R. China

In this paper,by a scalarization method,the lower semicontinuity of the solution mappings to two kinds of parametric generalized vector equilibrium problems involving set-valued mappings is established under new assumptions which are weaker than the C-strict *** results extend the corresponding *** examples are given to illustrate our results.

关键词： parametric generalized vector equilibrium problems lower semicontinuity scalarization.

lower semicontinuity OF A CLASS OF FUNCTIONALSIN SBV_H

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2005年第1期20卷 27-34页

作者： SongYingqing YangXiaoping LongFei Dept.ofMath.＆Calc. HunanCityUniv.Yiyang413000China. SchoolofScience NanjingUniv.ofSci.＆Tech.Nanjing210094China.

In this paper lower semicontinuity of the functional I(u)=∫_Ωf(x,u,Δ~ _Hu)dx is investigated for f being a Carathéodory function defined on Hn×R×R^2n and for u∈SBV_H(Ω),where Hn is the Heisenberg group with dimension 2n+1,ΩHn is an open set and Δ~ _Hu denotes the approximate derivative of the absolute continuous part Da_Hu with respect to D_*** addition,a Lusin type approximation theorem for a SBV_H function is proved.

关键词： lower semicontinuity SBV_H function Heisenberg group Lusin approximation.

Upper and lower semicontinuity of Solution Sets for Parametric Generalized Vector Quasi-equilibrium Problems

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2011年第1期27卷 1-5页

作者： LI AI-QIN FAN LI-YA School of Mathematics Sciences Liaochcng University Liaocheng Shandong 252059

In this paper, two kinds of parametric generalized vector quasi-equilibrium problems are introduced and the relations between them are studied. The upper and lower semicontinuity of their solution sets to parameters a... 详细信息

关键词： parametric generalized vector quasi-equilibrium problem solution set upper semicontinuity lower semicontinuity set-valued mapping

Existence and stability of solutions to inverse variational inequality problems

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2017年第5期38卷 749-764页

作者： Yu HAN Nanjing HUANG Jue LU Yibin XIAO Department of Mathematics Sichuan University School of Mathematical Sciences University of Electronic Science and Technology of China

In this paper, two new existence and quasi-variational inequality problems are theorems of solutions to inverse variational proved using the Fan-Knaster-Kuratowski- Mazurkiewicz （KKM） theorem and the Kakutani-Fan-Glicksberg fixed point theorem. Upper semicontinuity and lower semicontinuity of the solution mapping and the approximate solution mapping to the parametric inverse variational inequality problem are also discussed under some suitable conditions. An application to a road pricing problem is given.

关键词： inverse variational inequality Fan-Knaster-Kuratowski-Mazurkiewicz (KKM)theorem Kakutani-Fan-Glicksberg fixed point theorem upper semicontinuity lower semicontinuity

在线全文

学校读者我要写书评

暂无评论

强拟凸泛函的下半连续性

湖南师范大学自然科学学报 1986年第1期 1-13页

作者：方惠中

我们的兴趣在于讨论具有指数型增长速度的强拟凸泛函 I（z, G）=∫G f（x.z（x）,（?）z（x））dx,（1）的变分问题。但鉴于泛函的下半连续性结果对相应变分问题的讨论有重要作用,本文将致力于泛函（1）的下半连续性的讨论。定义:称f（x... 详细信息

我们的兴趣在于讨论具有指数型增长速度的强拟凸泛函 I（z, G）=∫G f（x.z（x）,（?）z（x））dx,（1）的变分问题。但鉴于泛函的下半连续性结果对相应变分问题的讨论有重要作用,本文将致力于泛函（1）的下半连续性的讨论。定义:称f（x,z,p）关于P是强拟凸的[1],如果f（x,z,p）∈C2,且对任何常向量x0,z0,p0,任何有界区域G’（?）G,以及在边界（?）G’上取零边值的任何Lipschitz向量函数ξ（x）而言,满足下面的不等式:

关键词： lower semicontinuity strong Qnasi-convexity Fucional Expontntieal Growth

semicontinuity of the Minimal Solution Set Mappings for Parametric Set-Valued Vector Optimization Problems

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Journal of the Operations Research Society of China 2021年第2期9卷 441-454页

作者： Xin Xu Yang-Dong Xu Yue-Ming College of Science Chongqing University of Posts and TelecommunicationsChongqing 400065China

With the help of a level mapping,this paper mainly investigates the semicontinuity of minimal solution set mappings for set-valued vector optimization ***,we introduce a kind of level mapping which generalizes one given in Han and Gong(Optimization 65:1337–1347,2016).Then,we give a sufficient condition for the upper semicontinuity and the lower semicontinuity of the level ***,in terms of the semicontinuity of the level mapping,we establish the upper semicontinuity and the lower semicontinuity of the minimal solution set mapping to parametric setvalued vector optimization problems under the C-Hausdorff continuity instead of the continuity in the sense of Berge.

关键词： Set-valued vector optimization problems Level mapping Solution set mapping Upper semicontinuity lower semicontinuity

On the Stability of the Solution Set Mappings to Parametric Set Optimization Problems

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of the Operations Research Society of China 2016年第2期4卷 255-263页

作者： Yang-Dong Xu Ping-Ping Zhang College of Science Chongqing University of Posts and TelecommunicationsChongqing 400065China

In this paper,under some suitable assumptions without any involving information on the solution set,we give some sufficient conditions for the upper semicontinuity,lower semicontinuity,and closedness of the solution s... 详细信息

关键词： Upper semicontinuity lower semicontinuity Closedness Parametric set optimization problem Less order relation

Observability by using viability kernels

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

控制理论与应用（英文版） 2012年第3期10卷 303-308页

作者： Khalid KASSARA Systems and Control Group University Hassan ⅡCasablanca 20100Morocco

The aim of this paper is to propose a new way to deal with observability of systems governed by ODEs, in a more general setting than the standard output equation. The primary finding is that observability over a time horizon reduces to single-valuedness of the vertical section of a set we name the observability kernel. The latter consists of the viability kernel of the output domain under the augmented system. The approach may be used either for global or local observability, to which available results on single-valuedness of multifunctions shall be applied in order to get necessary and/or sufficient characterizing conditions. Several examples are provided in order to illustrate the method.

关键词： Observability Viability kernel Single-valuedness lower semicontinuity Monotone multifunctions