线性偏微分方程

对于Mooney材料，这两个情形均归结为可用Fourier方法求解的线性偏微分方程。

For the Mooney material both cases are reduced to a linear partial differential equation solvable by the Fourier method .

本文提出了用沃尔什级数求解高阶线性偏微分方程的一种新方法。

This paper proposes a new method of solving the high order linear partial differential equation by means of Walsh Series .

介绍了Fourier变换求解线性偏微分方程的一般方法，并探讨用Fourier变换法求解上半平面带边值条件的双调和泊松方程问题。

This paper discusses the solution of Fourier transform for biharmonic poisson equation with the boundary value condition on upper plane .

常系数线性偏微分方程不适定Cauchy问题稳定性估计

The stability estimates of improperly posed Cauchy problems for linear partial differential equations with constant coefficients

三阶线性偏微分方程组Cauchy问题解析解的结构

The Construction of Analytic Solutions for Cauchy Problem with System of Third Order Linear Partial Differential Equations

大系统分解理论对变系数线性偏微分方程组Cauchy问题一致适定的应用

The application of the decomposition theory for large scale system to consistent suitability of the Cauchy problem of linear parital differential equation system

本文应用Euler变换讨论一类变系数线性偏微分方程的可解性，得到了全局可解性。

In this paper we employ Euler 's Transformation to discuss the solvability for a class of LPDOs with varible coefficients . Global solvability for this kind of LPDOs is obtained .

为了得到（3+1）维可积模型的精确解，建立了（3+1）维非线性偏微分方程与一维的立方非线性KleinGordon（NKG）方程的解之间的变换关系；

To obtain exact solutions of ( 3 + 1 ) - dimensional equation , the transformation relation between the traveling wave solutions of the ( 3 + 1 ) - dimensional equation and those of the cubic nonlinear Klein-Gordon ( NKG ) equation was established .

关于一类重特征二阶线性偏微分方程的局部可解性

On the Local Solvability of LPDEs of Second Order with Double Characteristics

确定线性偏微分方程组可积系统的对合特征集方法

On completely integrable system of linear PDEs with involutive characteristic set method

沃尔什级数求解线性偏微分方程和积分方程的新方法

To Solve Partial Differential and Integral Equation With Walsh Series

某类奇三阶线性偏微分方程的显式解

Explicit Solution for Some Singular Linear Partial Differential Equation of Third Order

李雅普诺夫第二方法在二阶线性偏微分方程中的应用

The application of lyapunov 's second method in second-order linear partial differential equations

关于变数分离的线性偏微分方程的基本解的构造

Concerning Construction of Fundamental Solution of Linear Partial Differential Equation with Separable Variables

经典的数理方程大量的是二阶线性偏微分方程。

Classical mathematical equations is the large number of second-order linear partial differential equations .

可分解的三个未知函数二阶线性偏微分方程组

Decomposable Systems of Linear Partial Differential Equation of Second Order with Three Unknown Functions

几类特殊形式的一阶线性偏微分方程的局部可解性

On Local Solvability of First Order Linear PDES

非亚椭圆常系数线性偏微分方程和组全局解的正则性

Global Regularity of Solutions for Non-hypoelliptic Linear Partial Differential Equations and Systems with Constant Coefficients

一类三阶线性偏微分方程奇性定解问题的显式解

Explicit Solutions of the Singular Problems for a Linear Partial Differential Equation of Third Order

一阶拟线性偏微分方程组局部几何解的实现定理

The realization theorems of geometric solutions for systems of Quasilinear first order partial differential equations

一类双实自变数线性偏微分方程的调和解

A harmonic function solution to the type of double independent variable linear partial differential eguations

用复模态方法求解了输电杆塔基桩轴向振动的线性偏微分方程。

The random vibration analysis of transmission tower based on wind power spectral density method ;

利用牛顿法推导了带周期系数的线性偏微分方程；

The coupled linear partial differential equations with periodic coefficients are derived using the Newton method .

一阶拟线性偏微分方程。

Quasilinear First Order PDE 's.

关于具非负特征形式的二阶线性偏微分方程的混合边值问题的极大值原理

Maximum principles for mixed boundary value problem for second order linear partial differential equation with nonnegative characteristic form

判定线性偏微分方程组解的完备性的一个符号计算方法

A Symbolic Computation Method to Decide the Completeness of the Solutions to the System of Linear Partial Differential Equations

一类二阶线性偏微分方程的定解问题

A Class of Problem for Determining Solution of Second-order Linear Partial Differential Equations of the Solution of the Problem

第一部分，利用求解线性偏微分方程的特征曲线法，得到了三个系统的所有不变代数曲面。

This paper is concerned with an analytic invariant curves on a planar mapping of the iterative functional equation .

我们把它应用到线性偏微分方程上去得到了解的规模和形式幂级数解。

We apply Wu-Ritt method to linear partial differential equations and gave the size of solution arid formal Taylor solutions .

比例边界有限元方法是近年来提出和迅速发展的用来求解线性偏微分方程的一种半解析数值方法，它融合了有限元法和边界元法的优点，又有其特有的优点。

The scaled boundary finite element method is a newly developed semi-analytical technique to solve systems of partial differential equations .