An Investigation of a Pair of Integral Equations for the Biharmonic Problem

Publisher Website
Google Scholar
Abstract
The paper contains an elementary investigation of the question of uniqueness of a pair of integral equations connected with the plane biharmonic problem. It is shown that for two particular exceptional geometries of the boundary curve the pair of integral equations does not have a unique solution. This defect can be removed by adding two supplementary integral conditions which the solution of the integral equations must satisfy. As an illustration the integral equations are solved numerically with and without these extra conditions.

This publication has 0 references indexed in Scilit: