具有强迫项的二阶中立型微分方程的振动准则  

Oscillation Criteria For Second-Order Neutral Differential Equations With Forced Term

作　　者：韩忠月[1] 

机构地区：[1]德州学院数学科学学院,山东德州253023

出　　处：《生物数学学报》2016年第1期55-64,共10页Journal of Biomathematics

摘　　要：利用广义的黎卡提变换对具有强迫项的二阶中立型微分方程的振动性进行了研究,获得了该类方程存在振动解的充分条件.探讨了一类微分方程中的强迫项在方程存在振动解性质中的内在联系,改进和推广了已有文献的结果,并给出了应用实例.By using the generalized Riccati transformation, some oscillations criteria are established for second-order neutral differential equations with forced terms, and new sufficient conditions for oscillations of all solutions of the equations are obtained. The essential relationships between the existence of oscillatory solutions and the forced terms of the equations are discussed. Some relevant results in the existing papers are improved and generalized in this paper. Finally, several examples are given to illustrate the applications of the obtained results.

关 键 词：中立型微分方程 振动准则 强迫项 

分 类 号：O175.12[理学—数学]