Geodesic
Integral equations on the half-line with difference kernels and nonlinear functional equatons
Sbornik. Mathematics, Tome 26 (1975) no. 1, pp. 31-54

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In this paper we present a new approach to the solution of scalar and operator equations of the form \begin{equation*} f(x)=g(x)+\int_0^\infty T(x-t)f(t)\,dt. \tag{A} \end{equation*} We derive and study some new functional equations, occupying an intermediate position between the equation (A) and the Ambarcumyan equation. This approach leads to a very simple way of deriving and generalizing Ambarcumyan's equations. Bibliography: 18 titles. 
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     author = {N. B. Engibaryan and A. A. Arutyunyan},
     title = {Integral equations on the half-line with difference kernels and nonlinear functional equatons},
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N. B. Engibaryan; A. A. Arutyunyan. Integral equations on the half-line with difference kernels and nonlinear functional equatons. Sbornik. Mathematics, Tome 26 (1975) no. 1, pp. 31-54. http://geodesic.mathdoc.fr/item/SM_1975_26_1_a1/