Oscillation of Solutions of Nonlinear Difference Equation With a Super-linear Neutral Term

Abstract

This paper deals with the oscillation of solutions of certain class of neutral difference equation ∆(an∆(χn + pnχαn−k)) + qnχβn+1−l = 0, where α and β are ratio of odd positive integers. New sufficient conditions are obtained for the oscillation of studied equation and examples illustrating the main results are provided.

Keywords

• Oscillation
• difference equation
• nonlinear
• super-linear neutral term
• 39A11