On the oscillatory behaviour of a class of nonlinear delay difference equations of second order

A. K. Tripathy () and S. Panigrahi ()
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A. K. Tripathy: Kakatiya Institute of Technology and Science
S. Panigrahi: University of Hyderabad

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 1, 27-40

Abstract: Abstract In this paper, sufficient conditions have been obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form $$ \Delta \left( {r\left( n \right)\Delta \left( {y\left( n \right) + p\left( n \right)y\left( {n - m} \right)} \right)} \right) + q\left( n \right)G\left( {y\left( {n - k} \right)} \right) = 0 $$ under various ranges of p(n). The nonlinear function G,G ∈ C(ℝ,ℝ) is either sublinear or superlinear satisfying the condition xG(x) > 0 for x ≠ 0.

Keywords: Nonlinear; Neutral difference equations; Oscillatory; Sublinear; Superlinear (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0002-z

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