多个变时滞二阶中立型微分方程解的零点分布  

The Distribution of Zeros of Solutions of Second-order Neutral Differential Equations with Variable Delays

作　　者：孟智娟[1] 房亚楠 MENG Zhi-juan;FANG Ya-nan(School of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]太原科技大学应用科学学院,太原030024

出　　处：《太原科技大学学报》2022年第2期176-179,共4页Journal of Taiyuan University of Science and Technology

基　　金：国家自然科学基金(52004169);山西省青年科技研究基金(201901D211311);太原科技大学博士启动基金(20192058)。

摘　　要：对多个变时滞二阶非线性中立型微分方程的零点分布进行了分析,通过泰勒公式展开,对二阶微分方程实施降维处理,构建其与对应一阶微分不等式间的联系,非线性方程线性化处理,进而对方程振动解的相邻零点间的距离进行了估计,推广了已有的一些研究结果。An Estimation is established for the distance between adjacent zeros of the solutions of the nonlinear neutral differential equations with variable delays.Through the expansion of Taylor formula,the dimension of the second-order differential equation is reduced,and the relation between the second-order differential equation and the corresponding first-order differential inequality is constructed.The non-linear problem is converted into linear ones.Furthermore,the distance between adjacent zeros of the vibration solution of the equation is estimated.a lot of known results are generalized and improved.

关 键 词：多个变时滞 中立型 非线性 零点分布 

分 类 号：O175.13[理学—数学]