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2022年7月11日—8:Green'sFunctions...ThefunctionG(x,ξ)isreferredtoasthekerneloftheintegraloperatorandiscalledtheGreen'sfunction.。其他文章還包含有:「Green'sfunction」、「Green'sFunction」、「格林函數」、「Green'sFunctionsinPhysics」、「Green'sfunctions1Thedeltafunctionanddistributions」、「7Green'sFunctionsforOrdinaryDifferentialEquations」、「Green'sFunctions」、「7.2」

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Green's function exampleGreen functionGreen function methodGreen function pdegreen function物理意義
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Green's function
Green's function

https://en.wikipedia.org

In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with ...

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Green's Function
Green's Function

https://mathworld.wolfram.com

Generally speaking, a Green's function is an integral kernel that can be used to solve differential equations from a large number of families including ...

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格林函數
格林函數

https://zh.wikipedia.org

在數學中,格林函數(點源函數、影響函數)是一種用來解有初始條件或邊界條件的非齊次微分方程式的函數。在物理學的多體理論中,格林函數常常指各種關聯函數( ...

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Green's Functions in Physics
Green's Functions in Physics

https://brilliant.org

Green's functions are a device used to solve difficult ordinary and partial differential equations which may be unsolvable by other methods.

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Green's functions 1 The delta function and distributions
Green's functions 1 The delta function and distributions

https://math.arizona.edu

If such a representation exists, the kernel of this integral operator G(x,x0) is called the Green's function. It is useful to give a physical interpretation ...

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7 Green's Functions for Ordinary Differential Equations
7 Green's Functions for Ordinary Differential Equations

https://www.damtp.cam.ac.uk

the Green's function with homogeneous boundary conditions. On the one hand ... the Green's function is necessarily a (non–zero) constant. To show this ...

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Green's Functions
Green's Functions

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The general concept of Green function is that of a quantity that indicates how a “cause,” or “source,” in qi at the initial time ti determines an “effect” in q ...

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7.2
7.2

https://math.libretexts.org

The boundary value Green's function satisfies the differential equation ∂∂x(p(x)∂G(x,˜Z)∂x)+q(x)G(x,ξ)=0,x≠ξ This is easily established.