OSCILLATION OF NONLINEAR HIGHER-ORDER NEUTRAL DELAY DIFFERENCE EQUATION

Yu-Ping Zhao (P. R. China) and Xi-Lan Liu (P. R. China)

Received July 1, 2007

References:

[1] R. P. Agarwal, Difference Equations and Inequalities, Theory, Methods, and Applications, 2nd ed., Monographs and Textbooks in Pure and Applied Mathematics, Vol. 228, Marcel Dekker, New York, 2000. [2] R. P. Agarwal, E. Thandapani and P. J. Y. Wong, Oscillation of higher-order neutral difference equations, Appl. Math. Lett. 10 (1997), 71-78. [3] J. W. Luo and D. D. Bainov, Oscillation and asymptotic behavior of second-order neutral difference equations with maxima, J. Comput. Appl. Math. 131 (2001), 333-341. [4] J. Morchalo, On convergence of solutions of a second order nonlinear difference equations, J. Appl. Math. Comput. 12 (2003), 59-66. [5] M. K. Yildiz and Ö. Öcalan, Oscillation results for higher order nonlinear neutral difference equations, Appl. Math. Lett. 20 (2007), 243-247. [6] Y. G. Zhou, Oscillation of higher-order delay difference equations, Adv. Difference Equ. 2006, Art. ID 65789, 7 pp.

Keywords and phrases: oscillation, difference equation, neutral.