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

College of Science, University of Jinan, Jinan, Shandong 250000, P R China

^a Corresponding author: hanzhenlai@163.com

Abstract

We consider the Euler type delay dynamic equation with p-Laplacin like operators $(x^{{}^{\mathrm{\Delta }}}(v)|x^{{}^{\mathrm{\Delta }}}{(v)|}^{p-2}{)}^{{}^{\mathrm{\Delta }}}+a(v)x^{{}^{\mathrm{\Delta }}}{(v)|}^{p-2}+r(v)x(\delta (v)){|x(\delta (v))|}^{p-2}=0$, where $v\in [v_0,\infty )$ By using new inequality technique, we give some new criteria, which complement related contributions results.