The Initial Value Problem of Nonlinear Evolution Equation

This paper discusses the initial value problem of the nonlinear evolution equation. The uniqueness and stability of the solutions for the problem are proved. It is also obtained that the solution of the problem blows up in a finite time.     

Asymptotic Attractors of the Nonlinear Evolution Equation in Bounded Domain

The basic principle of infinite-dimensional dynamic system is to try to reduce the original infinite-dimensional system to an infinite-dimensional system. However,due to the unknown structure of the reduced system, it is difficult to describe its dynamical behaviour. To overcome this difficulty, the idea of approximate inertial manifolds is introduced, for NSE, the existence of AIM was studied, it is shown that the global attractor lies within a neighborhood of the graph of an Lipschitz function by the squeezing property. In this paper, by constructing a finite dimensional solution sequence, we will prove that it tends to the global attractor, theoretically, this provides a metod of constructing the asymptotic attractors, theoretically, this provides a method of constructing the asymptotic attractors for the evolution equations.     

A Class of Exact Solution for RLW-Burgers Equation

A class of analytic solution for RLW Burgers equation and KdV Burgers equation are given which include results of some papers.These solutions can be expressed as some linear combination of solutions of Burgers equation and RLW equation or KdV equation which correct conclusion in some paper.     

Study on the Travelling Wave Solutions of the KdV Burgers Equation

With the aid of the Lax Niouver transformation,the exact travelling wave solutions and the asymptotic travelling wave solutions of the KdV Burgers Equation are obtained.Furthermore,the series solutions are constructed with the Adomian integration.The relations of the travelling wave solutions between the KdV Burgers equation and the RLW Burgers equation are found.Moreover,a class of known exact solutions of the KdV Burgers equation are analysed.     

非线性方程最优拟合的缩张算法

本文提出一种可实现非线性方程最优拟合的新方法－缩张算法（Ｃ－Ｅ算法）。该算法由若干循环组成,每一循环都包含收缩和扩张两个步骤。因而,可以在多维起始空间的内、外漫游搜索目标函数,并利用搜索过程所反馈的信息调整搜索中心和步长;通过较少次Ｃ－Ｅ循环的搜索,便能逼近给定非线性方程的最适参数值。该算法不需要给出方程的导数或偏导数,减少了计算的复杂性,也可能推广应用于解决其它目标函数的最优化问题。     

The Multiple Solutions for a Class of Quasilinear Elliptic Equations

A three critical point theorem is proved. As its applications, Dirichlet problem for a class of quasilinear elliptic equations cf second order is considered.     

Remarks for Various Boundary IntegralEquations Reduced from the ExteriorNeumann Problem of Helmholtz Equation

This paper presents a discussion on various boundary integral equations reduced from the exterior Neumann problem of Helmholtz equation.The author analyses how the famous difficulty that some equations have no unique solution when the wave number k is an eigenvalue of an interior problem is arised in the course of reducing these equations from Helmholtz representations,and proposes a method of overcoming the difficulty,that is,introducing a direct boundary integral equation which has unique solution for all wave numbers k and is equivalent to the original boundary value problem.Besides,advantages and shortcomings for these integral equations are estimated respectively.     

MAXIMUM PRINCIPLE AND NONTRIVAL SOLUTION FOR A STATIONARY WAVE EQUATION

The boundary-value problem of a non-linear equation is discussed. A necessary condition for existence of nontrival solution and a maximum priciple are proved.     

Galerkin Boundary Element Method for Two-dimension Laplace Equation of Neumman Condition

The authors apply the Galenkin variational equation to solve the integral equation with hyper singularity, which can be deduced from the double layer solution for Neumann problem of Laplace equation. The scheme of partial integration in the sense of distributions is introduced to reduce the hyper singularity integral into a weak one with the boundary rotation of unknown function. The numerical implementation with linear boundary elements is presented. The numerical examples illustrate the feasibility and efficiency of the method.     

Oscillation Theorems of Systems of High Order Nonlinear Delay Partial Differential Equations

Partial functional differential equations come from many mathematical models in physics,biology,engineering and other fields,which have strongly practical background.The oscillation theory is the one of the important branches of qualitative theory of partial functional differential equations. Therefore,it is of great theoretical and practical value to research the oscillation of partial functional differential equations.The anthors study the oscillation of the systems of a class of high order nonlinear delay partial functional differential equations.By using Green's theorem and Riccati transformation,they obtain some sufficient criteria for oscillation of all solutions of the systems under two kinds of different boundary value conditions,which are illustrated by some examples.These results offer the foundation of mathematical theory for solving the practical problems of the above fields.     

A Kind of Adaptive Generalized Predictive Control for a Nonlinear System

This paper,using Hammerstein model to express a kind of nonlinear system,presents a new kind of Adaptive Generalized Predictive control for Nonlinear systems(NAGPC). This method divides the whole system into two parts: linear subsystem and nonlinear one. In the first part,a new algorithm ,whose computation quantity is less and speed is faster,is developed according to the characteristics of gain controlling Matrix F in the Generalized Predictive Control (GPC). Mean while, the interpolation method is used to develop one step root solving procedure and the result can be used as the whole system input in the second part. Simulation studies show that the general algorithm NAGPC is strong in robustness,good in stability and fast in computation.     

Limiting the Arc Over-voltage of 10 kV Grids in Application of Nonlinear Resistance

The aufhors calculate and analyze the arcing grounding overvoltage of 10 kV power network in case of neutral ungrounded and grounding through nonlinear resistance using EMTP, with a actual 10 kV power network of a substation in Guizhou province as an example. The emulational calculation results show that the grounding method which grounds through nonlinear resisitance has the advantages of the other two methods, can better limit the arcing grounding overvoltage and can not stop the power supply .even one phase is grounded by fault, so it can ensure the security of the power networkg supply . the network neutral grounding through nonlinear resistance needs more deep study and analysis as a new network neutral grounding mehtod.     

小麦抗病育种的战略问题——小麦对锈病、白粉病第二线抗源的建立和应用

自1979年起，逐步形成了一套包括抗源搜集、筛选、分析、遗传研究和转育等5个步骤的抗源搜集、研究和应用体系。目的在于寻求尽可能多的，不同于1BL/1RS所含有的Yr9，Lr26和Pm8的，多样化的第二线抗源，并将它们转育到较好的遗传背景中去。至目前为止，已找到33个不同于上述基因的二线抗源，并用其中一些育成了62个农艺性状大