三阶泛函微分方程的振动性的进一步研究  

Further Study on Vibration of Third-Order Functional Differential Equations

作　　者：侯晓磊[1] HOU Xiaolei(School of Computer Information Engineering, Shanxi Institute of Commerce and Industry, Taiyuan 030006, Shanxi, China)

机构地区：[1]山西工商学院计算机信息工程学院,山西太原030006

出　　处：《江汉大学学报（自然科学版）》2018年第4期320-324,共5页Journal of Jianghan University：Natural Science Edition

摘　　要：进一步研究了三阶泛函微分方程的振动性,利用算子和积分技巧给出了微分方程振动解的一些引理,进而借助这些引理推广和改进了最近文献中的若干结果,给出了三阶泛函微分方程解的振动性的一个充分条件,这个结果充分反映了时滞在方程振动中的影响。The oscillation of the three-order functional differential equation was further studied,and some lemmas of the oscillatory solution of the differential equation were given by the operator and the integral technique. By means of these lemmas,some results in the recent literature were extended and improved,and a sufficient condition for the oscillation of solutions of the three-order functionaldifferential equations was given. The results fully reflected the effect of time delay on vibration of equations.

关 键 词：三阶泛函 振动性 微分方程 

分 类 号：O175.13[理学—数学]