Name of a type of differential equations

[kevchang]

Dear all,

I am interested in solving the following type of system of differential equations for η(x):

(1) ∫η(x)ω(x)=0
(2) ∫η'(x)ω(x)=0

for known ω(x), and known limits of the integral. Does this type of equations have a name? Can someone help me to find some reference? Thanks a ton!

Cheers,
Kev

 

[hunt_mat]

These are Fredholm integral equations of the first kind.