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1.
研究了p-Ginzburg-Landau型泛函的径向极小元在环域上的极限行为.在极小元的惟一性与正则化的基础上,建立了极小元的C1,a局部一致有界性,进而得到了极小元的C1,a局部收敛性.  相似文献   

2.
主要对带权的Ginzburg-Landau型泛函的径向极小元的唯一性进行研究。先证明出径向极小元的整体估计、极值原理和梯度估计,通过这些结论最终证明出带权Ginzburg-Landau型泛函的径向极小元是唯一的。  相似文献   

3.
主要对带权的Ginzburg-Landau型泛函的径向极小元的唯一性进行研究。先证明出径向极小元的整体估计、极值原理和梯度估计,通过这些结论最终证明出带权Ginzburg-Landau型泛函的径向极小元是唯一的。  相似文献   

4.
《滨州学院学报》2020,(6):44-52
研究了最优控制问题极小元的局部适定性。该优化问题涉及同时重构退化抛物型方程初始值和零阶项系数的反问题。与一般的优化问题不同,这里构造的代价函数是一个二元函数,包含两个自变量和两个独立的正则化参数,并推导出极小元必须满足的必要条件。特别地,由于代价函数中两个未知系数的状态不同,单参数优化问题的共轭理论不能应用于该问题。通过假设终端时间T相对较小,得到了关于极小元的L2估计,由此可推导出极小元的唯一性和稳定性。  相似文献   

5.
本文主要是讨论带权的Ginzburg-Landau型泛函的径向极小元零点分布问题,通过一系列的讨论和证明,最终描述出带权的Ginzburg-Landau型泛函的径向极小元的零点集中分布在原点和权函数的零点附近。  相似文献   

6.
本文在含有最大元1和最小元0的全序格(L,V,∧)上,讨论了Fuzzy矩阵极小范数g逆存在的充要条件.并给出1最大极小范数g逆的计算方法。  相似文献   

7.
本文在带权的Ginzburg-Landau型泛函的径向极小元的整体估计的基础上,通过适当引入辅助泛函,以此来降低该整体估计右端的增长速度,最后使之不再增长或负增长,从而最终建立所需的局部一致估计,为日后研究径向极小元的极限行为做铺垫.  相似文献   

8.
在容许函数类空间中研究正则化Ginzburg-Landau型泛函极小元的渐近行为,以及它的估计问题.先给出正则化Ginzburg-Landau型泛函极小元渐近行为的一些相关事实,并利用Young不等式等方法加强此渐近行为的结论 .在此基础上,利用Young不等式和Holder不等式等方法研究极小元的估计,并建立估计数.  相似文献   

9.
讨论四元数体上右线性方程组AB=b的极小范数解、最小二乘解和极小范数最小二乘解,得到了类似于复数域上同类问题的若干结果.  相似文献   

10.
获得了四元数射影空间的紧致全实伪脐子流形的几个内蕴刚性定理 ,推广改进了四元数射影空间全实极小子注形的相应结果  相似文献   

11.
The vertical vibration of a large diameter pile embedded in inhomogeneous soil with hysteretic type damping is investigated based on the 3D axisymmetric model. Firstly, the pile is assumed to be a Rayleigh-Love rod with the consideration of its transverse inertia effect. Following this assumption, the pile-soil system is divided into several segments according to the stratification of the surrounding soil, and the dynamic interactions of the adjacent soil layers are simulated using the distributed Voigt model. Meanwhile, the surrounding soil is discretized into finite annular vertical zones to consider its radial inhomogeneity, and the force equilibrium and displacement coordination are satisfied at the interfaces of the adjacent soil zones and the interface of the pile-soil. Then, the analytical solution in the frequency domain and the semi-analytical solution in the time domain are obtained by solving the vibration governing equations of pile-soil system. Based on the solutions, a parametric analysis is conducted to investigate the influence of the transverse inertia effect on the dynamic response of the large diameter pile and its relationship with the pile parameters and the radial inhomogeneity of the surrounding soil. Finally, a comparison with the measured result and two other calculated results is presented to verify the effectiveness of the present solution.  相似文献   

12.
The analytical solution for an annular plate rotating at a constant angular velocity is derived by means of direct displacement method from the elasticity equations for axisymmetric problems of functionally graded transversely isotropic media. The displacement components are assumed as a linear combination of certain explicit functions of the radial coordinate, with seven undetermined coefficients being functions of the axial coordinate z. Seven equations governing these z-dependent functions are derived and solved by a progressive integrating scheme. The present solution can be degenerated into the solution of a rotating isotropic functionally graded annular plate. The solution also can be degenerated into that for transversely isotropic or isotropic homogeneous materials. Finally, a special case is considered and the effect of the material gradient index on the elastic field is illustrated numerically.  相似文献   

13.
构造了有界闭箱上连续全局优化问题的一个新的全局凸填充函数,分析了该函数的几个性质,设计了一个基于该填充函数的全局优化算法。该算法通过动态调节参数来跳出当前收敛的局部极小解的邻域,数值试验表明该算法是有效的。  相似文献   

14.
在径向对称的Sobolev空间中,利用约束变分方法,通过构造切伪梯度向量场,证明了无界区域上带限制的非线性椭圆特征问题正解、负解及变号解的存在性。  相似文献   

15.
In this paper, a new method named as the gradually descent method was proposed to solve the discrete global optimization problem. With the aid of an auxiliary function, this method enables to convert the problem of finding one discrete minimizer of the objective function f to that of finding another at each cycle. The auxiliary function can ensure that a point, except a prescribed point, is not its integer stationary point if the value of objective function at the point is greater than the scalar which is chosen properly. This property leads to a better minimizer of f found more easily by some classical local search methods. The computational results show that this algorithm is quite efficient and reliable for solving nonlinear integer programming problems.  相似文献   

16.
This paper studies the influence of radial depth on vibration, chip formation and surface roughness during face milling of AISI304 austenitic stainless steel with indexable cemented carbide milling cutters. The amplitude of vibration acceleration increased with the increasing radial depth up to 80 mm. And the domain vibration frequency varied with the radial depth. In this paper, three types of chips were found: C shape, long shape and spiral shape. The minimum surface roughness value occurred when the radial depth equalled 40 mm in the experiment. Irregular changes of chip curl radius and chip thickness could be attributed to different numbers of alternately engaged teeth when the feed and speed were fixed. Surface roughness is related to forced vibration and chip formation. Radial depth with different numbers of alternately engaged teeth could significantly influence the forced vibration, chip formation, and surface roughness.  相似文献   

17.
集值映射的导数是解决集值优化问题的一个重要工具。论文借助于集值映射的相依导数,相邻导数,约切导数等几种导数,以Lagrange乘子的形式给出集值优化问题有弱最小解的必要条件、充分条件以及充分必要条件。  相似文献   

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