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现有针对联盟S特征（或支付）值表示为区间值υ（S）=[υL（S），υR（S）]的合作对策（简称区间值合作对策）的研究，多数利用区间算术（比如，区间减法）、特殊排序函数等，并在经典Shapley值基础上进行拓展。本文主要目的是发展一种基于最小平方法的n人区间值合作对策的有效求解方法。首先，利用区间值距离概念和最小平方法，建立以联盟分配与联盟支付值之差的平方和为最小的数学优化模型，据此求解确定每个局中...
GLOBAL SOLUTIONS OF CERTAIN PLASMA FLUID MODELS IN 3D
GLOBAL SOLUTIONS CERTAIN PLASMA FLUID MODELS 3D
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2014/4/3
We consider several dispersive time-reversible plasma fluid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler–Maxwell 1-fluid model, and the relativisti...
阶线性非齐次常微分方程积分因子法及其应用
线性非齐次常微分方程 积分因子 求解方法
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2012/11/26
为能更简洁地求解1阶线性非齐次常微分方程，对1阶线性非齐次常微分方程的积分因子法进行了探讨，并结合实例给出了该方法的具体求解过程，该过程较常数变易法来得简单且应用广泛.
Diffeomorphic approximation of Sobolev homeomorphisms
Approximation Sobolev homeomorphism di eomorphism p-harmonic
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2010/11/26
Every homeomorphism h: X ! Y between planar open sets that belongs to the Sobolev class W 1;p(X;Y), 1 < p < 1, can be approximated in the Sobolev norm by C1-smooth di eomorphisms.
Bilinear local smoothing estimate and its application to the critical gKdV equation
gKdV equation bilinear local smoothing estimate blow up
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2010/11/29
We prove an improved version of bilinear local smoothing estimate to Airy solutions.Using this we study a smoothing property of Duhamel part of nonlinear solutions to the mass-critical
generalized Kd...
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
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2010/12/10
We give the solution of certain parabolic evolution problems (time-depending perturbations of the heat equation for the harmonic oscillator ) as explicit integrals on a space of continuous functions, ...
$L^p$-estimates of the Botlzmann Equation around a traveling local Maxwellian
Boltzmann equation Lp-stability Lp-estimate travelling local Maxwellian
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2010/12/13
In this paper, we are interested in the Lp-estimates of the Boltzmann equation in the case that the distribution function stays around a travelling local Maxwellian. For this, we divide both sides of ...
Incoming and disappearing solutions for Maxwell's equations
Maxwell equations disappearing solutions dissipative boundary conditions
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2010/11/29
We prove that in contrast to the free wave equation in R3 there are no incoming solu-tions of Maxwell’s equations in the form of spherical or modulated spherical waves. We construct
solutions which a...
Differential equations, difference equations and algebraic relations: An extension to a theorem of Compoint
Differential equations difference equations algebraic relations
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2010/12/6
Let C be an algebraically closed field and X a projective curve over C. Consider an ordinary linear differential equation, or a linear differ-ence equation, with coefficients in the field of rational ...
Navier-Stokes equations on the $\beta$-plane
Navier–Stokes equations beta plane global attractor
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2010/12/10
We show that, given a sufficiently regular forcing, the solution of the two-dimensional Navier–Stokes equations on the periodic -plane (i.e.with the Coriolis force varying as f0 + y) will become nea...
On the global solutions of the Higgs boson equation
global solutions Higgs boson equation
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2010/12/7
In this article we study global in time (not necessarily small) solutions of the equation for the Higgs boson in the Minkowski and in the de Sitter spacetimes. We reveal some qualitative behavior of t...
The periodic Cauchy problem for Novikov's equation
periodic Cauchy problem Novikov's equation
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2010/12/3
We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. We show the local well-posedness of the problem in Sobolev spaces and existence and ...
混合单调算子方程组解的存在唯一性定理
解 混合单调算子方程组
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2009/11/2
利用锥的有关理论和单调迭代技巧，讨论了一类混合单调算子方程组，得到其解的存在唯一性定理，所得结果推广了有关文献中相应的结论．
奇异协方差阵下有效前沿及有效组合的解析解
奇异协方差阵 有效组合 有效前沿 解析解
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2009/9/21
利用广义逆矩阵研究了协方差阵奇异时的投资组合问题,突破了传统方法中要求协方差阵可逆的限制,得到了证券市场存在有效组合的充要条件,并给出了有效前沿和有效组合的解析解,成功地推广了经典Markowitz模型,同时还将有助于证券组合有效子集的深入研究.