互补问题的一个修改算法

本文给出了一个修改的路径跟踪预测校正非内点算法 ,同时给出了一个新的中心路邻域的表示 .并在此基础上给出了全局和局部收敛性 ,最后给出的数值结果验证了其有效性     

求解整数规划的单参数填充函数

本文给出了一个新的求解离散全局最优化问题的单参数填充函数,并给出了一个新的算法,同时给出了对几个测试问题的数据计算结果.     

极值分布的一个注记

本文对PH极值分布进行了推广,应用构造相关联的Markov过程的方法,证明了n个相互独立的PH随机变量构成的次序随机变量的分布仍是PH分布。并给出了次序PH随机变量分布表达式的表示方法,本文同时也给出了次序PH随机变量的联合生存分布,本文最后给出了次序PH随机变量在可靠性理论与更新理论中的应用。     

升阶法与一类二阶非线性常微分方程的求解

本文给出了一类可以使用升阶法求解的二阶非线性微分方程,并给出了相关例子.     

二阶具有非正系数的NFDE与RFDE的非振动解类型与判别

本文讨论二阶具有非正系数的中立型与滞后型泛函微分方程,给出了这些方程的非振动解的类型以及判别条件。 对于cO情形(中立型),本文给出了四种S~*类的非振动解:对于|c|相似文献   

关于Sierpinski垫片的Hausdorff测度

本文给出了 Sierpinski垫片的另一构造方法 ,并给出了它的 Hausdorff测度的精确值     

一类广义凸函数的充要条件

本文给出了广义梯度的广义单调性定义,借助这些定义给出了一类广义凸函数的充要条件。     

关于径向基函数插值的收敛性

本文在n维空间给出了径向基函数插值及逼近的收敛性质,并给出了收敛阶。     

随机环境下资金预算问题的机会约束整数规划模型

本文基于最新的机会约束规划理论,提出了两类随机环境下资金预算问题的整数规划模型,并且设计了一种基于随机模拟的遗传算法来计算给出的模型．为了例证算法的有效性,本文给出了两类模型的数值例子,并且对其中一个例子给出了不同的参数,测试遗传算法的有效性,数值例子及测试结果均显示,本文所设计的基于随机模拟的遗传算法对于解决本文提出的两类模型是有效的．     

一类线图的带宽(英)

本文给出了一类线图的带宽,并给出了它的最佳编号．     

Existence and uniqueness of solutions to a class of singular diffusion problems

Existence, uniqueness, and non-uniqueness results are given for a class of singular diffusion problems with variable diffusion rates. Continuity arguments are used on related initial value problems to produce the existence results. Uniqueness criteria are established for different sets of hypotheses and non-uniqueness results are discussed when these hypotheses fail.     

一些平均值的比较

利用关于广义平均值进行比较的已知结果去比较幂平均值、Stolarsky平均值和Heron平均值,简化了某些结果的证明,并得到了一些新的结果.     

Relative controllability of perturbations of nonlinear systems

Sufficient conditions are derived for the relative controllability of perturbations of nonlinear systems with distributed delays in the control variables. The results are a generalization of previous results and are obtained by using Schauder's fixed-point theorem.     

Steady solution of solitary wave and linear shear current interaction

The steady solution of a solitary wave propagating in the presence of a linear shear background current is investigated by the Green–Naghdi (GN) equations. The steady solution is obtained by use of the Newton–Raphson method. Three aspects are investigated; they are the wave speed, wave profile and velocity field. The converged GN results are compared with results from the literature. It is found that for the opposing-current case of the solitary wave with a small amplitude, the results of the GN equations match results from the literature well, while for the solitary wave with a large amplitude, results from the literature are seen to be not as accurate. In the following-current case, though the amplitude of the solitary wave is small, the GN results are shown to be accurate. The velocity along the water column at the wave crest and the velocity field for different cases are calculated by the GN equations. The results of the GN equations show obvious differences when compared with the results obtained by superposing the no-current results and linear shear current linearly. We find that for the same current strength, the vortex is stronger for the steep solitary-wave case than that for the small solitary-wave case.     

Indefinite integrals of quotients of special functions

A new method is presented for deriving indefinite integrals involving quotients of special functions. The method combines an integration formula given previously with the recursion relations obeyed by the function. Some additional results are presented using an elementary method, here called reciprocation, which can also be used in combination with the new method to obtain additional quotient integrals. Sample results are given here for Bessel functions, Airy functions, associated Legendre functions and the three complete elliptic integrals. All results given have been numerically checked with Mathematica.     

在复合载荷作用下变厚度圆薄板大挠度问题

本文用变厚度板壳大挠度理论的修正迭代法[1],对周边固定,在复合载荷下的变厚度圆薄板进行了求解,从而得到了精确度较高的二次近似解析解.将本文的结果退化到特殊情况就可以得到和文[1、2]完全一致的结果.本文还绘出特征曲线进行比较,其结果是理想的.     

The motions of a spheroid on a horizontal plane with viscous friction

The stability conditions of the steady motions of a heavy spheroid on a plane with viscous friction are analysed. A geometrical interpretation of the results is given. The results are compared with the corresponding results in the case of an absolutely smooth and absolutely rough surface. The unsteady motions of the spheroid are investigated numerically.     

一类单种群系统正周期解及其稳定性

考虑周期单种群模型 dxdt=xg( t,x)± p( t,x)的正周解及其稳定性 .证明了在一定条件下 ,系统存在全局吸引的正周期解 .给出了系统存在两个正周期解的充分条件 ,同时也给出了种群灭绝的条件 .这些结果用于 Logistic模型和 Odum模型 ,得到了被开发的周期 Logistic模型存在全局吸引的正周期解 ;被开发了的周期 Odum模型只存在两个正周期解 ,其中之一吸引初值大于一个定数的所有解 ,另一个周期解则是种群灭绝的分界线     

Properties of serial kanban systems

In this paper we show some structural results of a kanban system by using results about the underlying GSMP. The main results from this connection are: dominance of allocations, optimal partition, upper and lower bounds on throughput, consistency of the IPA derivative, convexity of throughput as a function of service time parameters and concavity of throughput with respect to number of kanbans. Although the dominance and the partition results were obtained previously by sample path arguments, the proofs here are less cumbersome and generalize the earlier results. The second-order properties for kanban lines are new. These results form a basis for results in multi-product lines where proofs by sample paths require extensive notation.     

具有多偏差变元的Rayleigh方程周期解的存在性

利用Mawhin连续性定理研究了具有多偏差变元的Rayleigh方程周期解的存在性,得到了一些新的结果,补充和完善了已有的结果.