Oscillation and asymptotic behavior of two-dimensional difference systerns
This paper is concerned with the oscillation behavior of solutions of the nonlinear two-dimesional difference system Delta x(n) = bng(yn), Delta y(n)-1 = -a(n) f (x(n)), n epsilon N (n(0)) = (n(0), n(0) + 1,...}. Some necessary and sufficient conditions are given for the oscillation of all solution of the system. Our result improve and generalize some results in the literature. Examples to illustrate the result are included. (c) 2007 Elsevier Ltd. All rights reserved.
oscillation nonlinear two-dimensional difference system