Solvability of discrete second-order two-point boundary value problems
Abstract
This article considers a second-order difference equation with constant coefficients in its standard form and two different classes of two-point homogeneous boundary conditions. First, we construct the corresponding Green functions and derive some important properties for further analysis. Next, we propose adequate conditions for the existence of solutions to the considered boundary value problems. Finally, we offer two examples to show the applicability of the main results.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Nonlinear Differential Equations Analysis
Differential Equations and Numerical Methods
Publication details
- Journal / source
- Open Journal of Mathematical Sciences
- Volume
- 10
- Pages
- 29–47
- Publication date
- 19 January 2026