Oscillation of a class of partial difference equations with unbounded delay
This paper is concerned with the partial difference equation A(m+1,n) + a(m,n)A(m,n+1) - b(m,n)A(m,n) + p(m,n)A(sigma)(m),(tau)(n) = 0, where sigma and tau : N --> Z are nondecreasing, sigma (n) and tau (n) are strictly less than n for n epsilon N, lim(n --> infinity) sigma (12) = lim(n --> infinity) tau (n) = infinity, {a(m,n)}, {b(m,n)}, and {p(m,n)} are three real double sequences. Some oscillation criteria for this equation are obtained. (C) 2001 Elsevier Science Ltd. All rights reserved.
oscillation partial difference equation unbounded delay