确定线性偏微分方程组可积系统的对合特征集方法

基于Ritt-Wu特征集方法和Riquier-Janet理论,给出一种将线性微分方程组化成简单标准形式的有效算法．该算法通过消去冗余和添加可积条件获得线性微分方程组的完全可积系统(有形式幂级数解)或不相容判定．该算法不仅适用于常系数的线性偏微分方程组,而且对于变系数(以函数为系数)仍然有效．作者还给出了完全可积系统判定定理及其严格证明．     

脉冲时滞抛物型偏微分方程组解的振动性

研究一类脉冲时滞抛物型偏微分方程组解的振动性,利用一阶脉冲时滞微分不等式获得了该类方程组在两类不同边值条件下所有解振动的若干充分条件.所得结果充分反映了脉冲和时滞在振动中的影响作用.     

AN INVARIANCE OF CDF EQUATION

ＡＮＩＮＶＡＲＩＡＮＣＥＯＦＣＤＦＥＱＵＡＴＩＯＮ￥ＴＩＡＮＣＨＯＵＡｂｓｔｒａｃｔ：ＴｈｉｓｐａｐｅｒｐｒｅｓｅｎｔｓａｎｅｗｉｎｖａｒｉａｎｃｅｆｏｒｔｈｅＣＤＦｅｑｕａｔｉｏｎ．Ｕｓｉｎｇｔｈｉｓｉｎｖａｒｉａｎｃｅ，ｔｈｅａｕｔｈｏｒｏｂｔａ...     

用泰勒公式解偏微分方程

利用广义泰勒公式,给出几类偏微分方程的一种新解法.     

Nonlinear Internal Damping of Wave Equations with Variable Coefficients

For wave equations with variable coefficients on regions which are not necessarily smooth, we study the energy decay rate when a nonlinear damping is applied on a suitable subrigion.     

含连续滞量和阻尼项的非线性双曲偏微分方程组的振动性

研究了一类含连续分布滞量和阻尼项的非线性双曲型偏微分方程组运用黎卡提变换获得了该方程组在两类边值条件下解振动的充分条件.     

HYPERBOLIC-PARABOLIC CHEMOTAXIS SYSTEM WITH NONLINEAR PRODUCT TERMS

We prove the local existence and uniqueness of week solution of the hyperbolic-parabolic Chemotaxis system with some nonlinear product terms. For one dimensional case, we prove also the global existence and uniqueness of the solution for the problem.     

SOURCE－TYPE SOLUTIONS OF A QUASILINEAR DEGENERATE PARABOLIC EQUATION WITH ABSORPTION

ＳＯＵＲＣＥ－ＴＹＰＥ ＳＯＬＵＴＩＯＮＳ ＯＦ Ａ ＱＵＡＳＩＬＩＮＥＡＲ ＤＥＧＥＮＥＲＡＴＥ ＰＡＲＡＢＯＬＩＣ ＥＱＵＡＴＩＯＮ ＷＩＴＨ ＡＢＳＯＲＰＴＩＯＮ￥ＺＨＡＯＪＵＮＮＩＮＧＡｂｓｔｒａｃｔ：Ｔｈｅｅｘｉｓｔｅｎｃｅａｎｄｎｏｎｅｘ...     

Global Regular Solutions for Landau-Lifshitz Equation

The global regular solutions for multidimensional Landau-Lifshitz equation with initial dataut= u×△u, u(x, t, =0)=(?)(x) (1)has been considered, where u(·,t) : Rn×R+→S2, n = 2, 3.The Landau-Lifshitz equation, introduced by Landau and Lifshitz for study of ferromagnetic materials, is so-called the micromagnetic model which plays an important role in the understanding of nonequilibrium magnetism, the magnetic domain structure, etc. . Equation (1)