Venttsel Boundary Value Problems with Discontinuous Data

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

Discontinuous Boundary-value Problems: Expansion and Sampling Theorems

This paper is devoted to the derivation of expansion and sampling theorems associated with nth order discontinuous eigenvalue problems defined on [−1, 1], illustrated with detailed examples. The problem consists of nth order differential expressions and n boundary and n compatibility conditions at x = 0. The differential expressions are defined, in general, in two different ways throughout [−1,...

Discontinuous Galerkin Methods for Periodic Boundary Value Problems

This article considers the extension of well-known discontinuous Galerkin (DG) finite element formulations to elliptic problems with periodic boundary conditions. Such problems routinely appear in a number of applications, particularly in homogenization of composite materials. We propose an approach in which the periodicity constraint is incorporated weakly in the variational formulation of the...

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

Boundary Value Problems with Singular Boundary Conditions

Singular boundary conditions are formulated for non-selfadjoint Sturm-Liouville operators with singularities and turning points. For boundary value problems with singular boundary conditions properties of the spectrum are studied and the completeness of the system of root functions is proved.