Methods and Applications of Analysis
Volume 11 (2004)
Discrete Boundary Value Problems with Initial and Final Conditions
Pages: 33 – 40
In this research, we consider a nonhomogeneous linear difference equation with constant coefficients of order k greater than or equal to 2 subject to boundary conditions that split into two groups: initial and final conditions. We establish necessary and / or sufficient conditions on the distribution(s) of the zeros of the associated characteristic polynomial that ensure the existence of a unique solution.