is it possible to solve the following problem with mathematica? are there any previous solutions available?
from the set of i equations
a = INTEGRAL [ f(x) * r(x) ] with i = 1,...,N
one should derive the function r(x) by unfolding methods. /N is 10, means 10 f(x) distributions to fit/
a are given numbers from i=1,..,N
f(x) are continuous positive smooth distributions /x from 1 to 1000 step 1/ also for i=1,..,N
this mathematical problem belongs to the family of Fredholm Integral-equations of the first order. the process is called unfolding of the numerical solution.
thank you very much for any instruction!