基本解方法属于径向基函数类方法，它使用微分算子的基本解作为基于欧氏距离的径向基函数。
The method of fundamental solutions(MFS), one of the radial basis function(RBF) methods, employs the fundamental solutions to the governing differential operator as the Euclidean distance based RBF.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
由此得出了判别重特征线性偏微分算子亚椭园性和局部可解性的若干充分条件。
From this, we obtain some sufficient conditions for hypoellipticity and local solvability of those operators.
介绍了微分算子级数法在微分方程求解中的应用，给出了方程的微分算子级数解的根据及解偏微分、常微分方程的实例。
The method of differentiator series and its simple application in partial (or ordinary) differential equation is introduced. Some formulae of differentiator series and examples are given.
有关的问题与概念有：凸算子，互易集与互易原理，H广义解，算子微分方程等。
Related problems and concepts include; convex operator, reciprocity set and reciprocity principles, H-generalized solution and operator-differential equation, etc.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
本文利用随机收缩，证明具有随机定义域的非线性随机算子方程组的解的存在与唯一性定理，给出非线性随机积分和微分方程组的某些应用，改进和推广了某些结果。
In this paper, several existence and uniqueness theorems of solutions are proved for the system of nonlinear random operator equations with stochastic domain by using general random contraction.
本文介绍解五维波动问题的微分算子级数法。
In this paper, introduced the Differentiator Series Method to solve the five-dimensional wave equation problem.
本文介绍解五维波动问题的微分算子级数法。
In this paper, introduced the Differentiator Series Method to solve the five-dimensional wave equation problem.
应用推荐