According to the similarity between IMF and the solutions of self-adjoint ordinary differential equations(ODEs),the relationship between them is studied and a theorem that the IMF decomposed by EMD is a solution of the self-adjoint ODE is obtained.
根据IMF的定义与自伴常微分方程解的特点之间的相似性,研究了二者之间的关系,得出了本征模式函数是某个自伴二阶常微分方程的解这一结论,并借鉴前人的分析方法给出了证明。
A research on intrinsic mode functions and the self-adjoint ordinary differential equations
本征模式函数与自伴微分方程的关系研究
differential equation with deviating argument
偏差自变数微分方程
differential equation with retarded argument
推迟自变数微分方程
self-adjoint elliptic differential operator
自伴椭圆型微分算子
Singular Perturbation for System of Nonlinear Integral Differential Equations with Boundary Perturbation
伴有边界摄动非线性积分微分方程系统的奇摄动
Solutions to Nonautonomous Evolution Equations and Fractional Differential Equations
非自治发展方程与分数次微分方程的解
MULTIPLE BOUNDARY LAYER PHENOMENA OF SOLUTION OF BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATION WITH BOUNDARY PERTURBATION;
伴有边界摄动的三阶微分方程边值问题解的多重边界层现象
Analytic Descriptions of a Class Three-order Differential Operators’ Self-adjoint Domains
一类三阶微分算子自伴域的解析描述
Almost Automorphic and Pseudo Almost Automorphic Solutions of Semilinear Differential Equations
半线性微分方程的概自守与伪概自守解(英文)
characteristic equation of differential equation system
微分方程组的特征方程
Adaptivity in Solving PDE Using Interpolating Wavelets
偏微分方程数值解的自适应插值小波法
Application of Scientific Computing Free Software SCILAB to Ordinary Differential Equations;
科学计算自由软件SCILAB在常微分方程中的应用
Error Estimates of a Free Boundary Problem of an Intergro-differential Equation;
一类积微分方程自由边界问题解的误差估计
Instability of the Solution for a Class of the Fourth Order Nonlinear and Nonautonomous Differential Equation;
一类四阶非线性非自治微分方程解的不稳定性
Periodic Solutions to Generic Functional Differential-iterative Equation;
一般自迭代泛函微分方程周期解的存在性
Types of First-Order Nonlinear Differential Equatins That Can be Solved by Independent Variables;
可交换自变量求解的一阶非线性微分方程类型
The Existence of Multiple Positive Periodic Solutions for Non-autonomous Differential Equations with Delay
非自治时滞微分方程多重周期正解的存在性
The generalization of certain theorems on stability of non-autonomous differential equation of n-dimensional
对n维非自治微分方程稳定性若干定理的推广