Abstract and Applied Analysis
Volume 2005 (2005), Issue 1, Pages 33-43
doi:10.1155/AAA.2005.33

A three-point boundary value problem with an integral condition for a third-order partial differential equation

Abstract

We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the operator generated.