Oscillatory Behavior of Euler Type Delay Dynamic Equations with p-Laplacian Like Operators

Abstract

We consider the Euler type delay dynamic equation with p-Laplacin like operators ( x Δ ( v ) | x Δ ( v ) | p - 2 ) Δ + a ( v ) x Δ ( v ) | p - 2 + r ( v ) x ( δ ( v ) ) | x ( δ ( v ) ) | p - 2 = 0 $ (x^{{^{\Delta } }} (v)|x^{{^{\Delta } }} (v)|^{{p - 2}} )^{{^{\Delta } }} + a(v)x^{{^{\Delta } }} (v)|^{{p - 2}} + r(v)x(\delta (v))|x(\delta (v))|^{{p - 2}} = 0 $ , where v ∈ [ v 0 , ∞ ) $ v \in [v_{0} ,\infty ) $ By using new inequality technique, we give some new criteria, which complement related contributions results.