具有阻尼和分布偏差变元的三阶中立型微分方程解的振动性与渐近性  

Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments

作　　者：王雅坤 孟凡伟[1] WANG Yakun;MENG Fanwei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2021年第1期1-10,共10页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(11671227);山东省自然科学基金(ZR2019MA034).

摘　　要：研究了具有阻尼和分布偏差变元的三阶中立型微分方程解的振动性和渐近性质.基于新定义的广义Riccati变换建立了新的振动准则.此外,该文还给出了特殊情况下的有关推论.In this paper,we consider the oscilation and asymptotic behavior of the solutions of third-order neutral differential equations with damping and distributed deviating arguments.We establish new oscillation criterion based on a refinement generalized Riccati transformations.In addition,this paper also gives some corollaries in special cases.

关 键 词：三阶中立型微分方程 阻尼 振动性和渐近性 

分 类 号：O175.1[理学—基础数学] O175.12