Oscillation Criteria of Second-Order Dynamic Equations on Time Scales

Abstract

In this paper, we consider the oscillation behavior of the following second-order nonlinear dynamic equation. λ(s)Ψ1φΔ(s)y(φ(s))ΔΔ+η(s)Φ(y(τ(s)))=0,s∈[s0,∞)T. By employing generalized Riccati transformation and inequality scaling technique, we establish some oscillation criteria.

Keywords

• second order dynamic equation
• oscillation
• nonlinear equation
• Riccati technique
• delta derivative