Oscillation criteria of certain nonlinear partial difference equations
This paper is concerned with the nonlinear partial difference equation with continuous variables A(x + a, y) + A(x, y + a) - A(x, y) + (i=1)Sigma(m) h(i)(x, y, A(x - sigma(i), y - tau(i))) = 0, where a, sigma(i), tau(i) are positive numbers, h(i)(x, y, u) is an element of C(R+ x R+ x R, R), uh(i)(x, y, u) > 0 for u not equal 0, hi is nondecreasing in u, i = i,..., m. Some oscillation criteria of this this equation are obtained. (C) 1999 Elsevier Science Ltd. All rights reserved.
oscillation nonlinear partial difference equations