Green inverse problem in Differential equation...

eljose79

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.

Clausius2

No se porqué pero me da que tu tambien eres español....

eljose79

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

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

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?....