Applications of integral equations to the solution of nonlinear electric circuit problems

This paper presents a mathematical technique useful in the solution of certain nonlinear electrical and mechanical problems of practical importance. The mathematical procedure involves the formulation of the problem in terms of nonlinear integral equations, and, by its use, practical results may be obtained in many cases where the approximate solution of the integral equation may be effected by the assistance of the Laplace transform theory. No attempt is made to present a general theory, but instead the general method is illustrated by applying it to the solution of typical problems of technical importance such as the analysis of electric circuits with nonlinear resistance, nonlinear inductance, nonlinear capacitance, and to the steady-state solution of van der Pol´s equation.