Green inverse problem in Differential equation...


by eljose79
Tags: differential, equation, green, inverse
eljose79
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#1
Jul30-04, 08:02 AM
P: 215
Let be L(Y)=a0(x)D^2y+a1(x)Dy+a2(x) with the boundary conditions Y(a)=c and Y(b)=d then we could construct the Green function

L(y)G(x,s)=d(x-s)

then my question is if given the G(x,s) we could construct the L(y) operator considering is a second order differential equation.
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Clausius2
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#2
Jul30-04, 12:07 PM
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No se porqué pero me da que tu tambien eres español....
eljose79
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#3
Aug2-04, 04:49 AM
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Si si que lo soy,vivo un poco mas al norte que tu (Pais Vasco)..¿que tal? la verdad es que no somos muchos por aqui cierto?..

Feynman
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#4
Aug3-04, 07:37 AM
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Green inverse problem in Differential equation...


Hello
Integrate the 2 members of L(y)G(x,s)=d(x-s)
Then use the formula of inverse Green Function and use the theory of distributions
eljose79
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#5
Aug5-04, 05:06 AM
P: 215
i did not understand you Feynmann..could you be more explicit if G(x,s) is the Kernel i have that

a0(x)D^2G(x,s)+a1(x)DG(x,s)+a2(x)=d(x-s) but i do not know the functions a0(x),a1(x),a2(x) what is the formula of the inverse Green function?....


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