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

Pages: 579 - 589, Volume 2, Issue 4, December 2003

doi:10.3934/cpaa.2003.2.579       Abstract        Full Text (183.8K)       Related Articles

Xianyi Li - School of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, China (email)
Deming Zhu - Department of Mathematics, East China Normal University, Shanghai 200062, China (email)

Abstract: 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.

Keywords:  Comparison theorem, oscillation, nonoscillation, neutral difference equation, variable coefficient, continuous argument.
Mathematics Subject Classification:  39A10.

Received: June 2002;      Revised: April 2003;      Published: October 2003.