Two-Point Boundary Value Problems for Generalized Difference Systems

Here, we shall consider the difference system (2.1) for k ∈ N (0, J − 1), together with the boundary conditions 34.1 $$Ax\left( 0 \right) + Bx\left( J \right) = \alpha ,$$ where A, B are n × n known matrices and a is a known n × 1 vector. In (34.1), for the cases B = 0, and A = 0, we respectively have the initial and terminal value problems, and when A = −B = I, the identity matrix, and α = 0, we have the periodic boundary conditions (3.1). Further, it is easy to see that the boundary value problem describing transport phenomena (32.1), (32.2) is also included in (2.1), (34.1).