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This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves that the scheme converges uniformly to the solution of differential equation with order one.

研究守恒型奇振动方程的周期边界问题,构造一个差分格式,利用分解解的奇性项的方法,结合问题的渐近展开,证明所构造的差分格式为一阶一致收敛。

At last,we apply Tikhonov reg-ularization method with closed operators to solvc nonlinear ill-posed problems,undercertain conditions,we obtain optimal convergence rates of regularized solutions.At thesame time,we also discuss the case when the"attainability"condition is not satisfied.

最后我们应用带闭算子的Tikhonov正则化方法研究非线性的不适定问题,在一定的条件下得到了最优的收敛率,并讨论了当"可达性"条件不满足的情况下的正则化。

There are simple rules and quick convergence speed for SDPS.

该方法给出的适配粒子群算法规则简单、收敛速度快,得到的解集有较好的分散性和均匀性。

Thirdly, under the condition with noαpriori smoothness, in order to obtain the optimal convergence rates, it is not practical to use theαpriori rule. And it is necessary to use the a posteriori stopping rule which not only depends on the error boundδbut also on the perturbed data y~δ.

再次,在没有先验的光滑性信息情况下,为了获得最优收敛速率,利用先验选取准则则变得不再实用,而利用不仅依赖于误差界δ而且依赖于扰动数据y~δ的后验停止准则是必要的。

Backsteppnig control is applied to the positioning of ironless linear motor stage in this thesis. The controller design starts from a lower dimension subsystem and design a Lyapunov candidate for it. By choosing some appropriate virtual control input, the stability of the subsystem is guaranteed. Then extend to a larger system and choose a stabilizing control input for the extended Lyapunov candidate. The procedure is repeated until the overall system's actual control input appears, Again, the overall system's stability is guaranteed when the control input is appropriately chosen.

本论主要探讨逆向步进控制器在线性马达轨迹之控制,控制器之设计方式是由后往前一步一步推导,每一步推导的子系统,均满足Lyapunov稳定法则,在由后往前一步一步推导过程中,每往前推导一步,均必须符合最先所假设的条件与设计,直到方程式与系统的控制输入出现关连性,利用所设计之控制输入将系统的非线性问题予以解决,并因满足Lyapunov稳定法则而收敛。

Fuzzy neural network is used in the three phase adaptive reclosure so that the reclose of permanent faults can be avoided. A multi-input fuzzy neural network is constructed and the algorithm of network is designed. Taking the virtual value of three phase voltage as the input with its scale changed, the network learning can be completed with convergence reached after the process of fuzzification, normalization and perspicuity, so it can disinguish transient faults from permanent faults.

为了避免重合闸重合于永久性故障,将模糊神经网络应用于三相自适应重合闸中,构造了一个多输入的模糊神经网络,设计了网络的算法,将三相端压有效值作为输入,经尺度变换、模糊化、归一化和清晰化,并利用梯度下降法修正误差,使得网络完成学习并最终收敛,在输入故障数据时能根据网络的输出结果准确地判别瞬时性故障与永久性故障。

The existence of the solution we have defined is proved by regularized method and weakly convergent technique.

我们所定义的弱解的存在性是通过正则化方法以及弱收敛技巧得到的。

By using the cone theory and the coupling upper and lower solution method, it is studied the existence uniqueness of solutions of nonlinear binary operator equations without monotone and continuity and compactness conditionsin Banach spaces.

利用锥和耦合上下解方法,研究Banach空间不具有单调性、连续性和紧性条件的非线性二元算子方程解的存在唯一性,并给出了迭代序列收敛於解的误差估计,所得结果改进和推广了混合单调算子方程的某些已知相应结果。

By using the cone theory and the coupling upper and lower solution method,it is studied the existence uniqueness of solutions of nonlinear binary operator equations without monotone and continuity and compactness conditionsin Banach spaces.

利用锥和耦合上下解方法,研究Banach空间不具有单调性、连续性和紧性条件的非线性二元算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果改进和推广了混合单调算子方程的某些已知相应结果。

We seek for full expression of the outside and the transparency of the inside of the building at night, especially the moving wave in the water, in the lamplight, is projected to the building, making people's sightlines move correspondingly. Each floor, there is "static" dynamic water shadow, which is dynamic without any sound, and convergent and general.

我们力图实现晚间建筑外形体的展现和建筑内部的剔透性,特别是光影中水的波动投影在建筑体上,仿佛视线也被荡漾起来,每一层都有&静&动的水景,无声而动,收敛而大气。

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