共查询到20条相似文献,搜索用时 792 毫秒
1.
LI JUNJIE 《高校应用数学学报(英文版)》1994,9(1):55-64
ANOTEONREGULARITYANDEXISTENCEOFSOLUTIONSFORACLASSOFNON-UNIFORMLYDEGENERATEELLIPTICEQUATIONS¥LIJUNJIE(Dept.ofMath.,ZhejiangUni... 相似文献
2.
ALMOSTPERIODICSOLUTIONSOFLINEARDIFFERENTIALEQUATIONSWITHPIECEWISECONSTANTARGUMENTYUANRONGHONGJIALINManuscriptreceivedJu... 相似文献
3.
廖公夫 《数学物理学报(B辑英文版)》1996,(1)
ACHARACTERIZATIONOFTHESOLUTIONSOFp-ORDERFEIGENBAUM'SFUNCTIONALEQUATIONWITHTOPOLOGICALENTROPY0(廖公夫)¥LiaoGongfu(Dept.ofMath.,Ji... 相似文献
4.
STABILITYOFMAJORLYEFFICIENTPOINTSANDSOLUTIONSINMULTIOBJECTIVEPROGRAMMINGGUGUOHUAANDHUYUDA(DepartmentofMathematicsandMechanics... 相似文献
5.
TOPOLOGICAL STRUCTURE OF EFFICIENT SET OF OPTIMIZATION PROBLEM OF SET-VALUED MAPPING 总被引:6,自引:0,他引:6
LI YUANXI 《数学年刊B辑(英文版)》1994,15(1):115-122
TOPOLOGICAL STRUCTURE OF EFFICIENT SET OF OPTIMIZATION PROBLEM OF SET-VALUED MAPPING ¥LIYUANXIAbstract:Thispaperisconcernedwi... 相似文献
6.
Zhang Linghai 《数学年刊B辑(英文版)》1998,19(1):35-58
UNIFORMSTABILITYANDASYMPTOTICBEHAVIOROFSOLUTIONSOF2-DIMENSIONALMAGNETOHYDRODYNAMICSEQUATIONSZHANGLINGHAIManuscriptreceivedJu... 相似文献
7.
A NECESSARY AND SUFFICIENT CONDITION OF EXISTENCE OF GLOBAL SOLUTIONS FOR SOME NONLINEAR HYPERBOLIC EQUATIONS 总被引:2,自引:0,他引:2
Zhang Quande 《数学年刊B辑(英文版)》1995,16(4):461-468
ANECESSARYANDSUFFICIENTCONDITIONOFEXISTENCEOFGLOBALSOLUTIONSFORSOMENONLINEARHYPERBOLICEQUATIONS¥ZHANGQUANDE(DepartmentofMathe... 相似文献
8.
XIAO LING 《数学年刊B辑(英文版)》1995,(4)
LARGE-TIMEBEHMIOROFSOLUTIONSFORTHESYSTEMOFCOMPRESSIBLEADIABATICFLOWTHROUGHPOROUSMEDIA¥XIAOLING(L.HSIAO)D.SERRE(InstituteofMat... 相似文献
9.
POSITIVESOLUTIONSANDBIFURCATIONOFFULLYNONLINEARELLIPTICEQUATIONSINVOLVINGSUPER-CRITICALSOBOLEVEXPONENTS¥QUCHANGZHENG(屈长征)(Ins... 相似文献
10.
SOMEOSCILLATIONTHEOREMSOFHIGHERORDERNON-HOMOGENEOUSLINEARDIFFERENTIALEQUATIONSWITHTRANSCENDENTALMEROMORPICCOEFFICIENTS¥ChenZo... 相似文献
11.
周轩伟 《高校应用数学学报(A辑)》2008,23(3)
利用n维Euclid空间中较多锥的闭包,定义了多目标规划强较多有效解.利用较多锥闭包的Minkowski泛函,给出了强较多有效解和弱较多有效解的标量化结果,并讨论了强较多有效解和弱较多有效解的标量对偶问题及其应用. 相似文献
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13.
It is not a difficult task to find a weak Pareto or Pareto solution in a multiobjective linear programming (MOLP) problem. The difficulty lies in finding all these solutions and representing their structure. This paper develops an algorithm for solving this problem. We investigate the solutions and their relationships in the objective space. The algorithm determines finite number of weights, each of which corresponds to a weighted sum problems. By solving these problems, we further obtain all weak Pareto and Pareto solutions of the MOLP and their structure in the constraint space. The algorithm avoids the degeneration problem, which is a major hurdle of previous works, and presents an easy and clear solution structure. 相似文献
14.
Manuel Arana-Jiménez Gabriel Ruiz-Garzón 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(6):1792-1801
In this paper, we introduce new pseudoinvexity conditions on functionals involved in a multiobjective control problem, called W-KT-pseudoinvexity and W-FJ-pseudoinvexity. We prove that all Kuhn-Tucker or Fritz-John points are weakly efficient solutions if and only if these conditions are fulfilled. We relate weakly efficient solutions to optimal solutions of weighting control problems. We generalize recently obtained optimality results of known mathematical programming problems and control problems. We illustrate these results with an example. 相似文献
15.
多目标规划的局部较多最优性和局部较多有效性 总被引:3,自引:0,他引:3
多目标规划的局部较多最优性和局部较多有效性胡毓达(上海交通大学应用数学系,200030)国家自然科学基金资助项目.1991年8月27日收到.一、引言考虑多目标规划问题其中XS是约束集(开集(m2)是向量目标函数.对于问题(VMP),自50年代以来人们... 相似文献
16.
Hsien-Chung Wu 《Fuzzy Optimization and Decision Making》2009,8(3):295-321
The optimality conditions for multiobjective programming problems with fuzzy-valued objective functions are derived in this paper. The solution concepts for these kinds of problems will follow the concept of nondominated solution adopted in the multiobjective programming problems. In order to consider the differentiation of fuzzy-valued functions, we invoke the Hausdorff metric to define the distance between two fuzzy numbers and the Hukuhara difference to define the difference of two fuzzy numbers. Under these settings, the optimality conditions for obtaining the (strongly, weakly) Pareto optimal solutions are elicited naturally by introducing the Lagrange multipliers. 相似文献
17.
M. Arana-Jiménez G. Ruiz-Garzón A. Rufián-Lizana R. Osuna-Gómez 《Journal of Global Optimization》2012,52(1):109-121
In this paper, we provide new pseudoinvexity conditions on the involved functionals of a multiobjective variational problem,
such that all vector Kuhn-Tucker or Fritz John points are weakly efficient solutions if and only if these conditions are fulfilled.
We relate weakly efficient solutions to optimal solutions of weighting problems. We improve recent papers, and we generalize
pseudoinvexity conditions used in multiobjective mathematical programming, so as some of their characterization results. The
new conditions and results are illustrated with an example. 相似文献
18.
This paper provides some new results on approximate Pareto solutions of a multiobjective optimization problem involving nonsmooth functions. We establish Fritz-John type necessary conditions and sufficient conditions for approximate Pareto solutions of such a problem. As a consequence, we obtain Fritz-John type necessary conditions for (weakly) Pareto solutions of the considered problem by exploiting the corresponding results of the approximate Pareto solutions. In addition, we state a dual problem formulated in an approximate form to the reference problem and explore duality relations between them. 相似文献
19.
In most of studies on multiobjective noncooperative games, games are represented in normal form and a solution concept of
Pareto equilibrium solutions which is an extension of Nash equilibrium solutions has been focused on. However, for analyzing
economic situations and modeling real world applications, we often see cases where the extensive form representation of games
is more appropriate than the normal form representation. In this paper, in a multiobjective two-person nonzero-sum game in
extensive form, we employ the sequence form of strategy representation to define a nondominated equilibrium solution which
is an extension of a Pareto equilibrium solution, and provide a necessary and sufficient condition that a pair of realization
plans, which are strategies of players in sequence form, is a nondominated equilibrium solution. Using the necessary and sufficient
condition, we formulate a mathematical programming problem yielding nondominated equilibrium solutions. Finally, giving a
numerical example, we demonstrate that nondominated equilibrium solutions can be obtained by solving the formulated mathematical
programming problem. 相似文献
20.
M. Arana-Jiménez G. Ruiz-Garzón R. Osuna-Gómez B. Hernández-Jiménez 《Journal of Optimization Theory and Applications》2013,156(2):266-277
In this paper, we unify recent optimality results under directional derivatives by the introduction of new pseudoinvex classes of functions, in relation to the study of Pareto and weak Pareto solutions for nondifferentiable multiobjective programming problems. We prove that in order for feasible solutions satisfying Fritz John conditions to be Pareto or weak Pareto solutions, it is necessary and sufficient that the nondifferentiable multiobjective problem functions belong to these classes of functions, which is illustrated by an example. We also study the dual problem and establish weak, strong, and converse duality results. 相似文献