On a Mellin transform technique for the asymptotic solution of a nonlinear Volterra integral equation

Abstract

A Mellin transform technique for the asymptotic solution of a nonlinear Volterra integral equation presented earlier by Kumar (1971) has been improved upon in the present paper. The application of the present technique makes it possible to get an arbitrary number of terms in the asymptotic solution for large values of argument. An example has been worked out in detail.