Oscillatory properties for Emden–Fowler type difference equations with oscillating coefficients

Abstract

In this paper, we give new criteria on the oscillation of the fourth-order Emden–Fowler type delay difference equation with oscillating coefficients of the form ΔWn+rnyn−τβ=0,n≥n0,where Wn=pnΔ3vnα and vn=yn+qnyn−σ. For this we use the Riccati transformation method and the comparison method. Also we give some examples to illustrate our results.

Keywords

• Oscillation
• Emden–Fowler type difference equation
• Neutral difference equation