一类非线性退缩抛物型方程解的爆破

考虑退缩抛物型方程ｕｔ ＝ ｕα（ △ｕ ＋ ｆ（ ｕ）） 的初边值问题,在一定条件下得到了解的存在性,且解在有限时刻Ｔ 爆破,给出了Ｔ 的上界     

浅谈线性规划多重解与退化解的涵义

分析得出原问题是多重解，则对偶问题为退化最优解的命题，并对命题进行了证明，同时指出它的逆命题不成立；进一步分析了多重解与退化最优解的深层内涵及经济意义，说明资源影子价格不惟一情形的存在及含义，并指出退化解与多重解反映了众多市场参与者在资源供求方面的多种均衡解。     

簡并网絡初始条件的系統算法

本文详细地讨论了利用网络的关联矩阵和回路矩阵计算简并网络初始条件的系统算法,并给出了计算实例。本文所提出的算法简便易行,且便于用计算机进行计算。     

A Family of Goodness‐of‐Fit Tests for Copulas Based on Characteristic Functions

A general class of rank statistics based on the characteristic function is introduced for testing goodness‐of‐fit hypotheses about the copula of a continuous random vector. These statistics are defined as L ₂ weighted functional distances between a nonparametric estimator and a semi‐parametric estimator of the characteristic function associated with a copula. It is shown that these statistics behave asymptotically as degenerate V ‐statistics of order four and that the limit distributions have representations in terms of weighted sums of independent chi‐square variables. The consistency of the tests against general alternatives is established and an asymptotically valid parametric bootstrap is suggested for the computation of the critical values of the tests. The behaviour of the new tests in small and moderate sample sizes is investigated with the help of simulations and compared with a competing test based on the empirical copula. Finally, the methodology is illustrated on a five‐dimensional data set.     

简并能级的三阶微扰修正

讨论了简并能级的三阶微扰修正问题,给出了一阶修正和二阶修正简并部分解除情况下的三阶能量修正,也讨论了一阶修正简并未完全解除时的三阶能量修正.     

Convergence results for sequences of quadratic forms

Let (XI,)be a sequence of independent random variables, and let Q_n= where for each N,(an:,k)is a doubly indexed sequence of weights. The convergence and the rate of convergence of the sequence of quadratic forms {Q_n} are studied. These quadratic forms are linear sums of dependent variables; however, their convergence properties are similar to those of linear sums of independent variables provided the variables have finite rth absolute moments with 0 < r 2.while the rate of convergence has not been obtained for r< 2, it is shown to be different from that of linear sums.     

一类退化的线性规划模型构造

本文构造了一类退化的线性规划模型,它是文[1]中循环实例的推广。利用所得结论可以快速地求出此类模型的最优解。     

多频连续波雷达隔圈解距离模糊方法研究

二次差频测距具有原理简单、结构设计相对容易等优点,文中将其应用于边搜索边跟踪模式.在介绍了二次差频测距基本原理的基础上,对该体制雷达的重难点问题隔圈解距离模糊开展研究.首先给出了隔圈解距离模糊方法,然后讨论了目标有效性判决问题,最后通过仿真验证了方法的有效性.     

具可测系数的一类拟线性退化抛物方程的局部化条件

使用Ｍｏｓｅｒ迭代技巧和Ｓｏｂｏｌｅｖ嵌入定理，研究了方程ｕｔ＝（ａｉｊ（ｘ，ｔ）｜ｕ｜ｐ－２ｕｘｉ）ｘｊ－ｕｑ具有初始条件ｕ（ｘ，０）＝ｕ０（ｘ）的Ｃａｕｃｈｙ问题解的局部化条件。