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单词 Green’s function
释义
Green’s function

Mathematics
  • For the inhomogeneous ODE

    d2ydx2+p(x)dydx+q(x)y=r(x),y(0)=y(0)=0,

    the solution y(x) can be written as

    y(x)=0xG(x,t)r(t)dt,

    for some function G(x,t) known as Green’s function. If the above solution is written as G(r) and the ODE as Ly = r, so that LG(r) = r, then G acts as a right inverse for differential operator L.


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