J Austral Math Soc Ser B 34 pp245--256, 1992.

Oscillation and comparison theorems for certain neutral difference equations

B. S. Lalli and B. G. Zhang

(Received 1 November 1990; revised 3 November 1991)

Abstract

Some comparison theorems and oscillation criteria are established for the neutral difference equation

D(xn + cxn - m) + pn xn - k,       n = 0, 1, 2, ¼,


as well as for certain neutral difference equations with coefficients of arbitrary sign. Neutral difference equations with mixed arguments are also considered.

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Authors

B. S. Lalli
Department of Mathematics, University of Saskatchewan, Saskatoon, Canada, S7N OWO.
B. G. Zhang
Dept. of Appled Math., China.

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