共查询到20条相似文献，搜索用时 803 毫秒
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研究了Banach空间中一类G-可导映射的广义拟向量变分不等式问题,运用KKM定理证明这类问题解的存在性,并在适当的条件下证明了此类问题与Konnov I V和Yao J C等人提出的广义向量变分不等式问题是等价的。 相似文献
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孟香惠 《广东广播电视大学学报》2005,14(2):110-112
本文在渡江者游速大小恒定、水流速度大小恒定或随水域均匀交化两种情况下。用交分法求得了最速渡江线路的解析解。并在此基础上求得了比参考文献[1]更优的数值解。 相似文献
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黄龙光 《韩山师范学院学报》1999,(2)
本文研究线性拓扑空间到其共轭空间的映射与一凸函数联系的广义变分不等式问题,论述该广义变分不等式问题的解与映射值和凸函数次微分的关系,通过Gap函数及对偶问题讨论解的存在性和Gap函数的特性。 相似文献
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一个求解平衡问题不动点问题及变分不等问题公解的新方法及其对最优化问题的应用 总被引：1，自引：0，他引：1
本文借助在文章[2]中所给出的一个求解平衡问题、不动点问题及变分不等式问题公共解的新方法,给出其在最优化问题的应用。本文结果是新的,它改进和推广了文献[3,4,8]中的相应结果。 相似文献
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Jihuan He Ph. D. 《上海大学学报(英文版)》1997,1(1):36-41
The paper has proved that Hellinger-Reissner and Hu-Washizu variational principles are but equivalent principles in elasticity
by following three ways: 1) Lagrange multiplier method. The paper points out that only a new independent variable can be introduced
when one constraint equation has been eliminated by one Lagrange multiplier, which must be expressed as a function of the
original variable(s) and/or the new introduced variable after identification. In using Lagrange multiplier method to deduce
Hu-Washizu principle from the minimum potential energy principle, which has only one kind of independent variable namely displacement,
by eliminating the constraint equations of stress-displacement relations, one can only obtain a principle with two kinds of
variables namely displacement and stress; 2) involutory transformation, with such method Hu-Washizu variational principle
can be deduce directly from the Hellinger-Reissner variational principle under the same variational constraints of stress-strain
relation, and vice verse; 3)semi-inverse method, by which both of the above variational principles can be deduced from the
minimum potential energy principle with the same variational constraints. So the three kinds of variational functions in Hu-Washizu
variational principle are not independent to each other, the stress-strain relationships are still its constraint conditions. 相似文献
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何吉欢 《上海大学学报(英文版)》1997,(1)
lintroductionIn1954,byso-calledtry-and-el.l.ormethodHull]deducedtheHu-Washizupl'inciple,whichplaysan.importantroleinthehistoryofvariation.In1964,ChienlZIsystematicallydiscussedtheLagrangemultipliermethod.Withthemethod,hesuccessfullydeducedHu-Washizuprinci… 相似文献
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变分迭代法已被应用于求解一类含有未知参数线性抛物型方程的反问题中,它通过Lagrange乘子求得未知参量的精确值.变分迭代法可以快速得到收敛于反问题精确解的收敛序列,从而得到精确解.为了说明该方法的有效性,给出了两个实例. 相似文献
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1 Ｉｎｔｒｏｄｕｃｔｉｏｎ Ｖａｒｉａｔｉｏｎａｌｉｎｅｑｕａｌｉｔｙｔｈｅｏｒｙｈａｓｂｅｃｏｍｅａｖｅｒｙｅｆ ｆｅｃｔｉｖｅａｎｄｐｏｗｅｒｆｕｌｔｏｏｌｆｏｒｓｔｕｄｙｉｎｇａｗｉｄｅｒａｎｇｅｏｆｐｒｏｂｌｅｍｓａｒｉｓｉｎｇｉｎｐｕｒｅａｎｄａｐｐｌｉｅｄｓｃｉｅｎｃｅｓｓｕｃｈａｓｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ ,ｃｏｎｔａｃｔｐｒｏｂｌｅｍｓｉｎｅｌａｓｔｉｃｉｔｙ ,ｃｏｎｔｒｏｌｐｒｏｂｌｅｍｓ,ｇｅｎｅｒａｌｅｑｕｉｌｉｂｒｉｕｍ ｐｒｏｂｌｅｍｓｉｎｅｃｏｎｏｍｉｃ… 相似文献
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考虑奇数维空间中耗散波方程的柯西问题,用格林函数的方法得到解的逐点估计,进而得到解的Lp估计,柯西问题的解呈现出广义惠更斯原理. 相似文献
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本文讨论了四阶障碍问题与带平均曲率型约束薄板问题的变分形式与微分形式的等价性,证明了边界简支带平均曲率约束薄板问题的两个变分形式的等价性。 相似文献
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讨论渗流方程反演未知系数的反问题.利用正则化方法证明常系数反问题解的存在唯一性及其关于初始条件和附加条件的稳定性,并利用变分迭代法证明变系数反问题解的存在性. 相似文献
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Salvatore BRISCHETTO 《浙江大学学报(A卷英文版)》2013,14(5):317-326
The principle of virtual displacements (PVDs) extended to elasto-thermo-electric problems includes virtual internal elastic, thermal and electric works. The governing equations have displacement vector, temperature and electric potential as primary variables of the problem, and the elasto-thermal, elasto-electric and pure elastic problems are obtained as particular cases by deleting the appropriate contributions in the general elasto-thermo-electric variational statement. The most sensitive issue is given by thermal coupling because the thermo-elastic and thermo-electric effects change depending on the type of load and analysis considered (mechanical load, temperature or electric potential imposed and free vibration analysis). This feature means that the form of the virtual internal thermal work in such variational statements changes depending on the analysis performed and the load applied. Results about multilayered plates and shells suggest the appropriate extension of the variational statement for each analysis, and they give an exhaustive explanation for several forms of the PVD proposed. 相似文献
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Although the development of abstract knowledge and critical thinking skills has often been extolled as an ideal and as the goal of education (Nisbett et al., 1987), much research in problem solving and other cognitive endeavours points to the role that concrete information and examples play in thinking (Medin & Ross, 1989; Reeves & Weisberg, in press). We discuss the concrete vs abstract knowledge debate in terms of the use of analogies in problem solving and conclude that exemplar‐specific details of problems and the context in which problems are learned guide the transfer of a solution principle from one base problem to a target. The content of problems—what they are about—is often more important than the more abstract, schematic solution principle in influencing retrieval of base analogues (Holyoak & Koh, 1987; Keane, 1987; Ross, 1987) and mapping of the solution principle from base to target (Gentner & Toupin, 1986; Ross, 1987, 1989; Fong & Nisbett, 1991). It is suggested that learning abstract solution principles in a domain (e.g. algebra, physics) benefits greatly when instruction is accompanied by examples illustrating those principles (Cheng et al., 1986; Fong et al., 1986) and that analogical transfer itself serves as a useful means to greater comprehension of a domain (Ross & Kennedy, 1990). 相似文献
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应用非扩张映射的黏性逼近方法,在Hilbert空间中建立了一种新的求解平衡问题非扩张映射的不动点问题及变分不等式问题的公共解的迭代算法,且在参数满足一定条件下给出由该迭代算法生成的迭代序列的强收敛定理. 相似文献
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针对定义在均衡问题与不动点问题的公共解集上的分层变分不等式的解的问题引入了一种新的混合迭代算法,证明了在一定参数条件下的强收敛性．所提出的算法也解决了另一种三层变分不等式的解的问题,推广了相关文献的结论． 相似文献