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Oscillation criteria for even order neutral difference equations

Selvarangam S., Rupadevi S. A., Thandapani E., Pinelas S.

Opuscula Mathematica

2019

Vol. 39, no. 1

91--108

In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form [formula] where m ≥ 2 is an even integer, using arithmetic-geometric mean inequality. Examples are provided to illustrate the main results.

Improved oscillation criteria for second order nonlinear delay difference equations with non-positive neutral term

Thandapani E., Selvarangam S., Rama R., Madhan M.

Fasciculi Mathematici

2016

Nr 56

155--165

In this paper, we present some oscillation criteria for second order nonlinear delay difference equation with non-positive neutral term of the form ∆(an (∆zn )α )+qn f(xn-σ) )=0, n>no >0, where zn - xn - pn xn-r, and α is a ratio of odd positive integers. Examples are provided to illustrate the results. The results obtained in this paper improve and complement to some of the existing results.