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

Xianyi Li; Deming Zhu

doi:10.3934/cpaa.2003.2.579

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2003, Volume 2, Issue 4: 579-589. Doi: 10.3934/cpaa.2003.2.579

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

Xianyi Li^1, and
Deming Zhu^2,

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

Received: May 31, 2002

Revised: March 31, 2003

Published: November 2003

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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.

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Mathematics Subject Classification: 39A10.

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