Oscillation criteria for first-order neutral nonlinear difference equations with variable coefficients |
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Authors: | Wan-Tong Li |
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Institution: | Department of Mathematics Zhangye Teacher's College, Zhangye 734000, Gansu, P.R. China |
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Abstract: | Consider the first-order neutral nonlinear difference equation of the form , where τ > 0, σi ≥ 0 (i = 1, 2,…, m) are integers, {pn} and {qn} are nonnegative sequences. We obtain new criteria for the oscillation of the above equation without the restrictions Σn=0∞ qn = ∞ or Σn=0∞ nqn Σj=n∞ qj = ∞ commonly used in the literature. |
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Keywords: | Neutral difference equation Oscillation criteria Variable coefficients |
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