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Oscillation criteria of third-order nonlinear neutral delay difference equations with noncanonical operators
2021
Applicable Analysis and Discrete Mathematics
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In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form ?(b(n)?(a(n)?z(n))) + q(n)x?(?(n)) = 0 where z(n) = x(n) + p(n)x(?(n)),? > 0, b(n) > 0, a(n) > 0, q(n) ? 0 and p(n) > 1. By summation averaging technique, we establish new criteria for the oscillation of all solutions of the studied difference equation above. We present four examples to show the strength of the new obtained results.
doi:10.2298/aadm200913011a
fatcat:5zojbm7r4fgx5iae4r5qfcsuce