Analysis of tangential contact boundary value problems using potential functions

Nonstationary Initial Boundary Value Contact Problems of Generalized Elastothermodiffusion

The initial boundary value problems with mixed boundary conditions are considered for a system of partial differential equations of generalized electrothermodiffusion. Approximate solutions are constructed and a mathematical substantiation of the method is given. It is well known that a wide range of problems of mathematical physics includes boundary value and initial boundary value problems fo...

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.

Existence of multiple solutions for Sturm-Liouville boundary value problems

In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.

Computation of Green's functions for boundary value problems with Mathematica

This paper is devoted to construct an algorithm that allows us to calculate the explicit expression of the Green’s function related to a n – order linear ordinary differential equation, with constant coefficients, coupled with two – point linear boundary conditions. We develop this algorithm by making a Mathematica package.

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