查询词典 Moser

Critical point theory;nonlinear elliptic differential and difference equation;existence of solution;multiply results;bifurcation;Trudinger—Moser inequality;applications

论文导师刘三阳，论文学位博士，论文专业应用数学论文单位西安电子科技大学，点击次数 4，论文页数 116页File Size3483K

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先，讨论了非线性光学中的二次谐波产生的耦合方程组，利用变分法证明了耦合方程组非平凡解的存在性，然后进行了数值模拟，实验结果表明文中方法比经典的非线性光学中的方法有较大的改进，这对优化光倍频器件的设计将有所帮助；其次，将一类二阶半线性椭圆型方程组转化为一个变分问题，然后利用变分法和

In this paper, using Moser Twist Theorem, we obtain the existence of quasi-periodic solutions and the boundedness of solutions for Duffing equations and Liénard equation with some symmetric structure.

本文将利用Moser的扭转定理来研究Duffing方程和具有某种对称性的Liénard方程的拟周期解的存在性以及解的有界性。

India's Moser Baer, a precision technology company, has expanded its revenues more than 40 per cent a year for the past five years, while China's Neusoft is fast becoming one of the biggest names in the provision of outsourcing for hi-tech industries.

印度精密技术公司Moser Baer的收入在过去5年以每年超过40%的速度增加，而中国的东软正迅速成为高科技产业外包供应商中最知名的品牌之一。

In the last 20 years, many mathematicians used Moser Twist Theorem to study more complicated dynamics for nonlinear oscillations, such as the existence of quasi-periodic solutions and invariant tori, the Lagrange stability, etc.

近20年来，国内和国际上的一些数学家开始利用Moser的扭转定理来研究非线性振动的更为复杂的行为，如拟周期解和不变环面的存在性，解的Lagrange稳定性。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

Many methods are used to solve nonlinear problems, their rate of convergence is quick, for example, Newton-moser method, King-werner method, they are attentioned widely because of the quick rate of convergence. While these methods are used to solve singular problems, the rate of convergence is slow, it is discommodious for us to solve practical problems.

有许多方法在求解非奇异问题时，它们的收敛率是很快的，有些甚至能达到二次收敛，例如Newton-Moser法、King-werner法，这是所熟知的，因其收敛速度快，并且简单易用而广受重(来源：AB17C论文dddd网www.abclunwen.com)视。

Firstly, a homogeneous Harnack inequality as well as a maximum principle of nonhomogeneous subelliptic p-Laplace equations is proved by improving the classical Moser iteration method. The optimal estimate of m is also obtained through log |log| method.

首先改进经典的Moser迭代方法，证明了非齐次次椭圆p-Laplace方程的极大值原理和齐次Harnack不等式，并利用log |log|方法给出了不等式右端指数m的最佳上界估计。

MOSER-1245 is a pet hair clipper designed for professional pet hairdresser by WAHL Gmbh Corp., which has some characteristics as follows

MOSER-1245型双速电剪系华尔公司为专业宠物理容师精心设计制作的一款宠物毛发修剪工具。

Moser previously had Oregon and Louisville high on his list. Hill, a teammate of Renardo Sidney's at Fairfax H.S. in Los Angeles, has USC and UNLV on his radar.

Moser可能会转投俄勒冈或者路易斯维尔，而Hill的名单上大约是南加州大学和拉斯维加斯大学。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。