first-order partial differential equation

As the foundation of his first-order partial differential equation theory,Lagrange s definition plays an important role in his general integral theory.

从微观角度看,拉格朗日基于欧拉的定义,在用"常数变易法"探讨一阶偏微分方程积分的过程中受到启发,萌生了其积分"完全性"的新思想,并把这种新思想运用于常微分方程的研究,成功解释了奇解,在此基础上提出了一阶偏微分方程完全积分的新定义,因此拉格朗日完全积分的新定义是"常数变易法"和微分方程奇解现象共同诱发的产物。

We proper the existence of global smooth solution on Ω={-∞,<x<+∞,t≥0} for the generralized Cauchy problem of first order quasilinear P.

本文研究了下列一阶拟线性偏微分方程的广义Ｃａｕｃｈｙ问题：ｕｔ＋λ（ｕ）ｕｘ＝０，ｕ｜Γ＝φ（ｘ），Γ：ｘ＝ｒ（σ），ｔ＝ｓ（σ）。

This paper studies oscillation for the solutions of neutral higher order partial differential equation with continuous distributed deviating arguments.

研究了一类含有连续分布滞量的中立型高阶偏微分方程解的振动性,获得了该方程在两类边值条件下解振动的充分条件。

An impulse noise removal algorithm by detection technology and fourth-order PDE

一种结合检测技术与四阶偏微分方程的去噪算法

Reserches on the Value Distribution Theory and the Solutions of Systems of Higher-order Partial Differential Equations;

值分布理论及高阶偏微分方程组解的研究

Asymptotic Behavior for a Class of Higher-order Delay Partial Differential Equations;

一类高阶时滞偏微分方程的解的渐近性(英文)

Oscillation for Solutions of Certain Higher Order Neutral Partial Functional Differential Equations;

一类高阶中立型偏泛函微分方程解的振动性

Existence of Periodic Solutions for Higher Order Functional Differential Equation with Deviating Arguments

具偏差变元高阶中立型微分方程的周期解

Some Boundary Value Problems for High-order Complex Equation and Partial Differential Equations in Higher Dimensional Domains

高阶复方程和高维区域上偏微分方程的某些边值问题

Fractional Partial Differential Equation s Numerical Solution and Fundamental Solution;

分数阶偏微分方程的数值解及基本解

Theoretical and Numerical Investigation of Fractional Partial Differential Equations

分数阶偏微分方程的理论和数值研究

Bernstein Property of Solution to a Class Forth Order PDE;

一类四阶偏微分方程解的Bernstein性质

Domain Wall Waves of the Cubic Nonlinear Equation;

一个三阶非线性偏微分方程的域墙波

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

一类二阶线性偏微分方程的定解问题

Existence of Periodic Solutions for a Class of High Order Functional Differential Equations with Partial Difference Variables

一类具有偏差变元的高阶泛函微分方程周期解的存在性

Oscillation of Solutions to Higher-order Nonlinear Differential Equations of the Neutral Type

一类高阶非线性中立型偏微分方程系统解的振动性

The EXISTENCE OF PERIODIC SOLUTIONS FOR A KIND OF HIGH-ORDER FUNCTIONAL DIFFERENTIAL EQUATION

具偏差变元的高阶泛函微分方程的周期解存在性问题

Reducing a Second Order Differential Equation to a Higher Equation with Constant Coefficients;

化二阶微分方程为高阶常系数微分方程

Asymptotic Behavior of Solutions of Certain Higher Differential Equations and Higher Difference Equations;

一类高阶微分方程及高阶差分方程解的渐近性

Texture preserving fourth order PDE-based image denoising

具有纹理保持能力的四阶偏微分方程去噪方法

The Extent of Comparison Theorems of Ordinary Differential Equations to the Higher Order;

一阶常微分方程比较定理的高阶推广

Some Second Order Elliptic Partial Differential Equations on Unbounded Domain;

某些无界区域上的二阶椭圆型偏微分方程