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The paper is concerned with existence of solutions to four two-point boundary value problems of differential equation on time scales.

本文利用障碍带方法和Leray-Schauder原理讨论了四类时间尺度上的微分方程两点边值问题解的存在性。

Based on the traffic model of a single node and on the system stability criterion, it is shown that the PD controller can regulate the source rate on the basis of the knowledge of buffer occupancy of the destination node in such a manner that the congestion-controlled network is asymptotically stable without oscillation in terms of the buffer occupancy of the destination node.

在单个节点的交通流的模型基础上,运用控制理论中系统稳定性分析方法,讨论如何利用信终端节点缓冲占有量的比例加微分的反馈形式来调节信源节点的能控交通流的输入速率,从而使被控网络节点的缓冲占有量趋于稳定。

A Coulomb friction model with high accuracy is proposed so that more accurate equations of motion can be established for the transient response of the single-disk rotor which drops onto the back-up bearing as soon as AMB shuts down.

摘要就磁轴承发生故障时转子坠入备用轴承所産生的非线性瞬态响应,提出了摩擦力的计算模型,从理论上建立了更为精确的运动微分方程。

According to antecedent research experience, a computing method of the dynamic retrieving differential equation of multi-variable hydrologic time series was given.

在动力反演微分方程的基础上,建立水文多元自记忆模型。

Based upon Adomian decomposition method, we have studied Adomian double decomposition method in this paper. The initial term in Adomian decomposition method has been further decomposed, and modified inverse vector method is obtained.

在求解初边值问题Adomian分解法的基础上,研究了求二维偏微分方程边值问题的双重Adomian分解法,对Adomian分解法的初始项作了进一步分解,使逆算符分解法得到了改进。

First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soil were transformed into a group of governing differential equations with 1-order by the technique of Fourier expanding with respect to azimuth,and the state equation was established by Hankel integral transform method,furthermore the transfer matrixes within layered media were deriv...

首先,通过方位角的Fourier变换,将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组,基于径向Hankel变换,建立问题的状态方程,求解状态方程后得到传递矩阵;其次,利用传递矩阵,结合层状饱和地基的边界条件、排水条件及层间接触和连续条件,给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解;然后,按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程,并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程,并给出了算例。

In the optimization iteration, the levelset function values of nodes are considered as design variables. To computedifferences normally, the Heaviside function is handled for smoothing, theregularized Heaviside function is selected to avoid the oscillation inhomogenizations method, and the results can converge smoothly.

在优化迭代过程中,节点上的Level Set函数值被看作是设计变量,并且为了便于微分计算能够正常进行,对Heaviside函数及其导函数做了光滑化处理,选取了一种正则化的Heaviside函数,避免了均匀化方法中出现的振荡现象,可以平稳地收敛到最终结果。

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