Article
Ufa Mathematical Journal
Volume 3, Number 4, pp. 27-37
On the solution of the equation with two kernels, represented by exponentials
Barseghyan A.G.
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We consider the integral equation on the whole line, with two kernels: \begin{equation*} f(x)=g(x)+\int\limits _{0}^{\infty }K_{1} (x-t)f(t)dt +\int\limits _{-\infty }^{0}K_{2} (x-t)f(t)dt ,\,\,\, -\infty