One of fundamental but difficult problems in damage mechanics isthe formulation of the ef- fective constitutive relation ofmicrocrack-weakened brittle o quasi-brittle materials under complexloading, especially when mi...One of fundamental but difficult problems in damage mechanics isthe formulation of the ef- fective constitutive relation ofmicrocrack-weakened brittle o quasi-brittle materials under complexloading, especially when microcrack interaction is taken intoaccount. The combination of phenomenological and mi- cromechanicaldamage mechanics is a promising approach to construction andapplicable damage model with a firm physical foundation.展开更多
In this paper, some existence theorems of solutions for a class of generalized quasi-variational-like inequalities with discontinuous mappings ape proved under paracompact setting in topological vector spaces. These t...In this paper, some existence theorems of solutions for a class of generalized quasi-variational-like inequalities with discontinuous mappings ape proved under paracompact setting in topological vector spaces. These theorems unify, improve and generalize many recent results.展开更多
In this paper, we introduce the definition of （m, n）0-regularity in Г-semigroups. we in- vestigate and characterize the 20-regular class of F-semigroups using Green＇s relations. Extending and generalizing the Croi...In this paper, we introduce the definition of （m, n）0-regularity in Г-semigroups. we in- vestigate and characterize the 20-regular class of F-semigroups using Green＇s relations. Extending and generalizing the Croisot＇s Theory of Decomposition for F-semigroups, we introduce and study the absorbent and regular absorbent Г-semigroups. We approach this problem by examining quasi-ideals using Green＇s relations.展开更多
By the inductive relations,this paper first obtains some existence theorems of solutions for generalized quasi-variational relation problems,which are different from other papers.As applications,some existence theorem...By the inductive relations,this paper first obtains some existence theorems of solutions for generalized quasi-variational relation problems,which are different from other papers.As applications,some existence theorems of solutions for generalized quasi-equilibrium problems and NS-equilibria for noncooperative games under uncertainty are obtained.展开更多
In social sciences it is more or less generally acknowledged that (social) networks seem to be the natural tool in the organization of social activity. In the liteature on the mathematical description of social phenom...In social sciences it is more or less generally acknowledged that (social) networks seem to be the natural tool in the organization of social activity. In the liteature on the mathematical description of social phenomena the concept of a network is hardly used.In this paper we focus on the development of a’possible mathematical formualtion of the properties of a social network and a minimal and nearly complete social relational subsystem as a quasi-network within the setting of an economic trade system.展开更多
基金the National Natural Science Fouudation of China (19891180)
文摘One of fundamental but difficult problems in damage mechanics isthe formulation of the ef- fective constitutive relation ofmicrocrack-weakened brittle o quasi-brittle materials under complexloading, especially when microcrack interaction is taken intoaccount. The combination of phenomenological and mi- cromechanicaldamage mechanics is a promising approach to construction andapplicable damage model with a firm physical foundation.
文摘In this paper, some existence theorems of solutions for a class of generalized quasi-variational-like inequalities with discontinuous mappings ape proved under paracompact setting in topological vector spaces. These theorems unify, improve and generalize many recent results.
基金国家自然科学基金面上项目“金融高频大数据下的风险推断及其与多元标的衍生品定价和金融风险管理的交叉融合研究”(71871132)国家自然科学基金委重大研究计划重点项目“金融大数据统计推断理论与方法及应用研究”(91546202)+1 种基金中央高校基本科研业务费(批准号:CXJJ-2019-412)专项资金资助部分受到上海市数据科技与决策前沿科学研究基地(Shanghai Research Center for Data Science and Decision Technology)资助。
文摘In this paper, we introduce the definition of （m, n）0-regularity in Г-semigroups. we in- vestigate and characterize the 20-regular class of F-semigroups using Green＇s relations. Extending and generalizing the Croisot＇s Theory of Decomposition for F-semigroups, we introduce and study the absorbent and regular absorbent Г-semigroups. We approach this problem by examining quasi-ideals using Green＇s relations.
基金supported the Chen Guang Project Sponsored by the Shanghai Municipal Education Commission and Shanghai Education Development Foundation under Grant No.13CG35Open Project of Key Laboratory of Mathematical Economics(SUFE),Ministry of Education under Grant No.201309KF02
文摘By the inductive relations,this paper first obtains some existence theorems of solutions for generalized quasi-variational relation problems,which are different from other papers.As applications,some existence theorems of solutions for generalized quasi-equilibrium problems and NS-equilibria for noncooperative games under uncertainty are obtained.
文摘In social sciences it is more or less generally acknowledged that (social) networks seem to be the natural tool in the organization of social activity. In the liteature on the mathematical description of social phenomena the concept of a network is hardly used.In this paper we focus on the development of a’possible mathematical formualtion of the properties of a social network and a minimal and nearly complete social relational subsystem as a quasi-network within the setting of an economic trade system.
