非线性中立型变时滞微分方程解的零点分布Zero Distribution of Solutions of Nonlinear Neutral Differential Equations with Variable Delays
孟智娟,杨军
摘要(Abstract):
对一种非线性中立型变时滞微分方程零点距进行了估计,利用微分方程与相应微分不等式之间的关系对非线性中立型变时滞微分方程振动解的零点分布进行了研究,进而推广和改进了已有的一些研究结果。
关键词(KeyWords): 非线性;中立型;变时滞;零点距;估计
基金项目(Foundation):
作者(Author): 孟智娟,杨军
参考文献(References):
- [1]李秉团.一阶时滞微分方程解的零点距估计[J].应用数学学报,1990,13(4):467-472.
- [2]林诗仲.一阶中立型微分方程解的零点估计[J].应用数学学报,1994,17(3):458-461.
- [3]周勇,刘正荣,俞元洪.中立型时滞微分方程解的零点距估计[J].应用数学学报,1998,21(4):505-512.
- [4]于江.一阶时滞型微分方程解的零点距估计[J].山西大学学报,1995,18(2):134-137.
- [5]LIANG FAXUN.The Distribution of zeros of Solutions of First-Order Delay Differential Equations[J].Mathematical Analysis and Applications,1994,186:383-392.
- [6]ZHOU YONG.The Distribution of zeros of Solutions of First-Order Neutral Differential Equations[J].Northeast Math J,1997,13(2):153-159.
- [7]ZHOU YONG.An Estimate for Distance Between Adjacent Zeros of Solutions of Neutral Equations[J].Chinese Quarterly Journal of Mathematics,1996,11(4):38-43.
- [8]HAIPING YE,GUOZHU GAO.The Distribution of Zeros of Solutions of Neutral Advanced Differential Equations[J].Applied Mathematics Letters,2004,17:997-1005.
- [9]闫信州,曹秀梅,姜德民,等.时间标度上的一阶时滞型微分方程解的零点距估计[J].莱阳农学院学报,2006,23(2):150-153.
- [10]CHEN YU.Estimates of the zeros and Growths of Meromorphic Solutions of Homogeneous and Non-homogeneous second order Linear Differential Equations[J].Mathema Tica Applicata,2010,23(1):18-26.