数学物理学报(英文版)

• 论文 • 上一篇    下一篇

KAMENEV-TYPE OSCILLATION CRITERIA FOR DELAY DIFFERENCE EQUATIONS

程金发   

  1. 厦门大学数学学院, 厦门 361005
  • 收稿日期:2004-12-16 修回日期:2005-09-27 出版日期:2007-07-20 发布日期:2007-07-20
  • 通讯作者: 程金发
  • 基金资助:

    Research support by Natural Science Foundation of China (10271043)

KAMENEV-TYPE OSCILLATION CRITERIA FOR DELAY DIFFERENCE EQUATIONS

Cheng Jinfa   

  1. Department of Mathematics, Xiamen University, Xiamen 361005, China
  • Received:2004-12-16 Revised:2005-09-27 Online:2007-07-20 Published:2007-07-20
  • Contact: Cheng Jinfa

摘要:

Some oscillation criteria are established by Raccati transformation techniques
for the following second-order nonlinear neutral difference equation
△ (pn (△ (xn + cn xn - τ) )γ ) + qnxn - σβ = 0,n = 0, 1, 2,…
which extend and include several oscillation criteria in [11], and also correct a theorem and its proof in [10].

关键词: Oscillation, superlinear, sublinear, difference equations

Abstract:

Some oscillation criteria are established by Raccati transformation techniques
for the following second-order nonlinear neutral difference equation
△ (pn (△ (xn + cn xn - τ) )γ ) + qnxn - σβ = 0,n = 0, 1, 2,…
which extend and include several oscillation criteria in [11], and also correct a theorem and its proof in [10].

Key words: Oscillation, superlinear, sublinear, difference equations

中图分类号: 

  • 34K15