共查询到10条相似文献,搜索用时 62 毫秒
1.
By means of a non‐exact controllability result, we show the necessity of the conditions of compatibility for the exact synchronization by two groups for a coupled system of wave equations with Dirichlet boundary controls. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
2.
Ke WANG 《Frontiers of Mathematics in China》2011,6(3):545-555
Based on the theory of semi-global C
2 solution for 1-D quasilinear wave equations, the local exact boundary controllability of nodal profile for 1-D quasilinear
wave equations is obtained by a constructive method, and the corresponding global exact boundary controllability of nodal
profile is also obtained under certain additional hypotheses. 相似文献
3.
Let f be a real polynomial having no zeros in the open unit disk. We prove a sharp evaluation from above for the quantity f′∞/fp, 0p<∞. The extremal polynomials and the exact constants are given. This extends an inequality of Paul Erd
s [7]. 相似文献
4.
Summary Wilks'L
mvc
is the likelihood ratio criterion for testing the hypothesis that the mean values are equal, the variances are equal and
the covariances are equal, in ap-variate normal population. In this article the exact null distribution as well as the exact percentage points are given for
the first time. The distribution is obtained for the most general cases and the inverse tables, namely, the values ofu for given values ofF(u) are computed for the values ofF(u)=0.01, 0.02, 0.05 and for the various values ofn andp whereF(u) is the exact distribution function of the test statistic,n=N−1 andN is the sample size. The exact tables are given forp=2, 3, 4, 5, 6, 7, 8, 9. 相似文献
5.
Ke Wang 《Mathematical Methods in the Applied Sciences》2011,34(3):315-324
Based on the local exact boundary controllability for 1‐D quasilinear wave equations, the global exact boundary controllability for 1‐D quasilinear wave equations in a neighborbood of any connected set of constant equilibria is obtained by an extension method. Similar results are also given for a kind of general 1‐D quasilinear hyperbolic equations. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
6.
M. V. Dolgopolik 《Optimization》2017,66(10):1577-1622
In this article, we develop a general theory of exact parametric penalty functions for constrained optimization problems. The main advantage of the method of parametric penalty functions is the fact that a parametric penalty function can be both smooth and exact unlike the standard (i.e. non-parametric) exact penalty functions that are always nonsmooth. We obtain several necessary and/or sufficient conditions for the exactness of parametric penalty functions, and for the zero duality gap property to hold true for these functions. We also prove some convergence results for the method of parametric penalty functions, and derive necessary and sufficient conditions for a parametric penalty function to not have any stationary points outside the set of feasible points of the constrained optimization problem under consideration. In the second part of the paper, we apply the general theory of exact parametric penalty functions to a class of parametric penalty functions introduced by Huyer and Neumaier, and to smoothing approximations of nonsmooth exact penalty functions. The general approach adopted in this article allowed us to unify and significantly sharpen many existing results on parametric penalty functions. 相似文献
7.
王晨牧 《数学年刊A辑(中文版)》2020,41(2):115-138
作者对具有Dirichlet边界控制的一类波动方程耦合系统提出了部分精确边界同步性的概念,并对其进行了深入的讨论,得到了实现部分精确边界同步性的充要条件.同时对部分同步态进行了讨论,得到了部分同步态不依赖于边界控制的一个充分条件. 相似文献
8.
本文给出了受弯矩M作用的搭接焊缝内的准确应力分布,结合前文[1]所给出的受集中力P作用的搭接焊缝内的应力分布准确解,使搭接焊缝的设计可以建立在准确的理论解基础之上。 相似文献
9.
Tatsien Li 《Mathematical Methods in the Applied Sciences》2006,29(13):1543-1553
By means of a direct and constructive method based on the theory of semi‐global C2 solution, the local exact boundary observability and an implicit duality between the exact boundary controllability and the exact boundary observability are shown for 1‐D quasilinear wave equations with various boundary conditions. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
10.
Summary For the testing problem concerning the coefficients of the multivariate linear functional relationship model, the distribution
of a statistic previously proposed by A. P. Basu depends on the unknown covariance matrixV of errors, so limiting its applicability. This article proposes new test statistics with sampling distributions which are
independent of the unknown parameters for the cases whereV is either unknown or known only up to a proportionality factor. The exact distributions of the test statistics are also discussed. 相似文献