曲阜师范大学学报（自然科学版）2020，Vol.46Issue(4)：47-53,7.DOI:10.3969/j.issn.1001-5337.2020.4.047
具有超线性中立项的二阶微分方程的新振动准则
New oscillation criteria for second-order differential equation with a superlinear neutral term
摘要
Abstract
The purpose of this paper is to study the oscillation of the following second-order differential equation with a superlinear netural term(r(t)z'(t))'+q(t)xβ(σ(t))=0, t≥t0 >0, where z(t)=x(t)+p(t)xα(τ(t))andα,βare ratios of two positive odd integers withα≥1.We obtain new sufficient conditions for the oscillation of this equation by using comparison method and Riccati transformation.关键词
振动性/超线性中立项/二阶微分方程Key words
oscillation/superlinear neutral term/second-order differential equation分类
数理科学引用本文复制引用
许珂,时宏伟,白玉真..具有超线性中立项的二阶微分方程的新振动准则[J].曲阜师范大学学报（自然科学版）,2020,46(4):47-53,7.基金项目
Shandong Natural Science Foundation(ZR2019MA067). （ZR2019MA067）
