Oscillation and nonoscillation criteria for second order difference equations with generalized difference operators

摘要

In this study we investigate some new oscillation and nonoscillation criteria and generalize and improve some results in the literaturesfor second order nonlinear difference equation with generalized difference operators of the form∆l,a(pn∆l,axn) + qn(∆l,axn)β = F (n, xn, ∆l,bxn),where ∆l,σ is generalized difference operator such that defined as ∆l,σxn =xn+l − σxn, and F : N × R2→ R˙. Also, some examples illustrating the results are included.