Green inverse problem in Differential equation...by eljose79 Tags: differential, equation, green, inverse 

#1
Jul3004, 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(xs) then my question is if given the G(x,s) we could construct the L(y) operator considering is a second order differential equation. 



#2
Jul3004, 12:07 PM

Sci Advisor
PF Gold
P: 1,481

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




#3
Aug204, 04:49 AM

P: 215

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?..




#4
Aug304, 07:37 AM

P: 160

Green inverse problem in Differential equation...
Hello
Integrate the 2 members of L(y)G(x,s)=d(xs) Then use the formula of inverse Green Function and use the theory of distributions 



#5
Aug504, 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(xs) 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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