# American Institute of Mathematical Sciences

December  2003, 2(4): 579-589. doi: 10.3934/cpaa.2003.2.579

## Comparison theorems of oscillation and nonoscillation for neutral difference equations with continuous arguments

 1 School of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, China 2 Department of Mathematics, East China Normal University, Shanghai 200062, China

Received  June 2002 Revised  April 2003 Published  October 2003

Several comparison theorems for oscillation and nonoscillation of neutral difference equations with continuous arguments are established. Some known results are included and improved. All results obtained in this paper are new.
Citation: Xianyi Li, Deming Zhu. Comparison theorems of oscillation and nonoscillation for neutral difference equations with continuous arguments. Communications on Pure and Applied Analysis, 2003, 2 (4) : 579-589. doi: 10.3934/cpaa.2003.2.579
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