Boundary value problems for discrete equations

Three-Point Boundary Value Problems for Second-Order Discrete Equations

We formulate existence results for solutions to discrete equations which approximate three-point boundary value problems for second-order ordinary differential equations. c © 2003 Elsevier Science Ltd. All rights reserved. Keywords—Three-point boundary value problem, Difference equations, Brouwer degree, Secondorder ordinary differential equations.

Discrete Boundary-value Problems

We consider multivariate sequences, deened by a partial linear recurrence equation together with appropriate boundary conditions. The domain of deenition of these sequences is the rst orthant of the integer lattice, restricted in some dimensions to an initial segment of the nonnegative integers. By means of the kernel method we obtain an explicit expression for the generating function of the so...

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.

Multiple solutions for discrete boundary value problems

A recent multiplicity theorem for the critical points of a functional defined on a finite– dimensional Hilbert space, established by Ricceri, is extended. An application to Dirichlet boundary value problems for difference equations involving the discrete p–Laplacian operator is presented. Mathematics Subject Classification (2000): 39A10, 47J30.

Initial - Boundary Value Problems for Parabolic Equations