An Integral Representation for Eigenfunctions of Linear Ordinary Differential Operators.

摘要

This paper generalizes an integral representation formula for eigenfunctions of Strum-Liouville operators, known as the Volterra transformation operator in the theory of the inverse scattering problem, to higher-order differential operators. A specific fourth-order initial value problem is considered whose solutions are expressed as an inverse-Laplace-Borel transform.