Comportamento asintotico di una equazione integrale non lineare

In the present note is considered the asymptotic behaviour of the following non-linear integral equations: {Mathematical expression} with the kernel not Fourier-transformable. In the case where the Laplace-transform of {Mathematical expression}, has a first order pole for s=0, it is proved that, if the condition: {Mathematical expression} for equation (2), or {Mathematical expression} for equation (1), is fulfilled, then any bounded solution σ(t) has the property: {Mathematical expression} © 1966 Nicola Zanichelli Editore.