...词： 微分算子解； 算子分解式； 通解； 线性偏微分方程； 非齐次边界 [gap=565]Key words： differential operators solution；resolvent of operators； general solution； linear partial differential Equation；..
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偏微分方程的算子解法 Studies in College Mathematics
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.
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