On a Nonlocal Boundary Value Problem for a Third-Order Pseudo-Parabolic Equation

Abstract

In this paper we consider a nonlocal boundary value problem for a third order pseudo-parabolic equation. For the solution of the problem a priori estimates in differential and difference settings are obtained. The obtained a priori estimates imply stability of the solution of the problem with respect to the initial data and with respect to the right-hand side on a layer as well as the convergence of the solution of the difference problem to that of the differential problem.