Some new results for bounded and monotone properties of solutions of second-order quasi-linear forced difference equations
Some new results are obtained for the bounded and monotone properties of solutions of second-order quasi-linear forced difference equations Delta(p(n-1)(Deltay(n-1))(alpha)) = q(n)y(n)(beta) + r(n), n greater than or equal to n(0), where n(0) is an element of N = {0, 1, 2, 3, ...}, {p(n)}(n=n0-1)(infinity) is a positive sequence, {q(n)}(n=n0)(infinity) is a nonnegative real sequence with q(n) not equivalent to 0, {r(n)}(n=n0)(infinity) is a real sequence, and alpha and beta are quotients of odd positive integers. Some errors in [1] are pointed out and addressed. Examples are given to illustrate the advantages of the new results. (C) 2004 Elsevier Ltd. All rights reserved.
monotone quasi-linear forced difference equation bounded solution