Stability criteria for a class of linear delay partial difference equations
This paper is concerned with the linear delay partial difference equation a(i,j)u(i+1,j) + u(i,j+1) + b(i,j)u(i,j) + p(i.j)u(i -sigma, j - tau) = 0, where {a(i, j)}, {b(i, j)}, {p(i, j)}, i, j is an element of N-0, are real sequences. Sufficient conditions for this equation to be stable are derived. Some conditions for this equation to be unstable are obtained also. (C) 1999 Elsevier Science Ltd. All rights reserved.
partial difference equations stable unstable