Oscillation of nonlinear third-order difference equations with mixed neutral terms

Jehad Alzabut, Martin Bohner, Said R. Grace
2021 Advances in Difference Equations  
AbstractIn this paper, new oscillation results for nonlinear third-order difference equations with mixed neutral terms are established. Unlike previously used techniques, which often were based on Riccati transformation and involve limsup or liminf conditions for the oscillation, the main results are obtained by means of a new approach, which is based on a comparison technique. Our new results extend, simplify, and improve existing results in the literature. Two examples with specific values of
more » ... specific values of parameters are offered.
doi:10.1186/s13662-020-03156-0 fatcat:ux4aezhvorfihc5zrycpcmfxaq