Abstract
The method for constructing exact solutions to certain classes of Urysohn-type nonlinear integral equations is described that generalizes the solution technique for nonlinear equations of the second kind with a degenerate kernel. The method is based on solving a linear auxiliary equation obtained by discarding the nonlinear terms and is extended to nonlinear integro-functional and integro-differential equations. The method described becomes the well-known solution method for second-kind non-linear integral equations with constant limits of integration and a degenerate kernel. The solutions to the original nonlinear integro-functional differential equation are sought in the form where a constant is determined by the algebraic equation.
Published Version
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