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Oscillation Criteria for Higher Order Nonlinear Generalized Neutral Difference Equations

Dynamical Systems 2018-08-10 v1

Abstract

In the present study we highlight some results related to the oscillation for high order nonlinear generalized neutral difference equation in the following form \begin{equation*} \Delta_{\ell}\left(a(k)\Delta_{\ell}^{m-1}z(k)\right)+q(k)f(x({k-\rho\ell}))=0, \label{1e} \end{equation*} where z(k)=x(k)+p(k)x(τ(k))z(k)=x(k)+p(k)x({\tau(k)}).

Keywords

Cite

@article{arxiv.1808.02986,
  title  = {Oscillation Criteria for Higher Order Nonlinear Generalized Neutral Difference Equations},
  author = {Adem Kilicman and P. Venkata Mohan Reddy and M. Maria Susai Manuel},
  journal= {arXiv preprint arXiv:1808.02986},
  year   = {2018}
}

Comments

20 pages

R2 v1 2026-06-23T03:28:26.854Z