Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 34K15
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