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## Main Question or Discussion Point

Let be the integral equation:

f(x)-g(x)=Kf where K is the integral operator having the kernel

my question : is there an operator R satisfying:

g(x)-f(x)=Rg where f satisfy the original integral equation so it can be solved by mean of R operator.

Another question is can any integral equation be transformed into a differential equation?..if so how it is made?..thanks.

f(x)-g(x)=Kf where K is the integral operator having the kernel

my question : is there an operator R satisfying:

g(x)-f(x)=Rg where f satisfy the original integral equation so it can be solved by mean of R operator.

Another question is can any integral equation be transformed into a differential equation?..if so how it is made?..thanks.