期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

含有连续分布时滞二阶非线性中立型微分方程的振动性 被引量：2

Oscillation criteria for second-order nonlinear neutral differential equations with continuous distributed delay
下载PDF
导出
摘要 研究了一类含有连续分布时滞的二阶非线性中立型微分方程的振动性.利用推广的Riccati变换和算子法,得到了该方程一切解均为振动的若干新的振动准则.推广和改进了已有文献中的主要结果,给出了一个例子说明结果的优越性. In this paper, a class of second-order nonlinear neutral differential equations with continuous distributed deiay are studied. By using the generalized Riccati transformation and the operator technique, it establishes several new oscillation criteria for all solutions of the equations, which generalize and improve some results. An example is given to illustrate the superiority of our main results.
作者 范敏 田亚州 孟凡伟
机构地区 青岛理工大学(临沂)工程管理系 西安交通大学电子与信息工程学院 曲阜师范大学数学科学学院
出处 《青岛理工大学学报》 CAS 2014年第4期102-107,共6页 Journal of Qingdao University of Technology
基金 国家自然科学基金资助项目(11171178) 山东省自然科学基金资助项目(ZR2012AL03)
关键词 分布时滞 中立微分方程 振动性 distributed delay neutral differential equation oscillation
分类号 O175.14 [理学—基础数学]
  • 相关文献

参考文献12

  • 1Zhang Q X.Oscillation of second-order half-linear delay dynamic equations with damping on time scales[J].Computational and Applied Mathematics,2011,235:1180-1188.
  • 2Graef J R,Saker S H.New oscillation criteria for generalized second order nonlinear functional differential equations[J].Dynamic Systems and Applications,2010,19:455-472.
  • 3田亚州,蔡远利,孟凡伟.含有连续分布时滞偶阶微分方程的振动性[J].应用数学学报,2013,36(6):1080-1093. 被引量：2
  • 4Zhang C H,Li T X.Some oscillation results for second order nonlinear delay dynamic equations[J].Applied Mathematics Letters,2013,26:1114-1119.
  • 5Han Z L,Li T X,Sun S R,et al.Remarks on the paper[Appl Math Comput,2009,207:388 396][J].Applied Mathematics and Computation,2010,215:3998-4007.
  • 6Zhao J H,Meng F W.Oscillation criteria for second order neutral equations with distributed deviating argument[J].Applied Mathematics and Computation,2008,206:485-493.
  • 7Liu L H,Bai Y Z.New oscillation criteria for second order nonlinear neutral delay differential equations[J].Computational and Applied Mathematics,2009,231:238-246.
  • 8Tiryaki A.Oscillation criteria for a certain second order nonlinear differential equations with deviating arguments[J].Electronic Journal of Qualitative Theory of Differential Equations,2009,63:1-11.
  • 9Elabbasy E M,Hassan T S,Moaaz O.Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments[J].Opuscula Mathematica,2012,32(4):719-730.
  • 10Philo Ch G.A new criteria for the oscillatory and asymptotic behavior of delay differential equations[J].Bull Acad Pol Sci Ser Sci Mat,1981,39:61-64.

二级参考文献12

  • 1Wang Q R. Oscillation and Asymptotics for Second Order Half-linear Differential Equations. Appl. Math. Comput., 2001, 122:253-266.
  • 2Li H J, Yeh C C. An Integral Criterion for Oscillation of Nonlinear Differential Equations. Math. Japonica., 1995, 41:185-188.
  • 3Sun Y G, Meng F W. Note On the Paper of Dzurina and Stavroulakis. Appl. Math. Comput., 2006, 174:1634-1641.
  • 4Wang P G. Oscillation Criteria for Second Order Neutral Equations with Distributed Deviating Arguments. Comput. Math. Appl., 2004, 47:1935-1946.
  • 5Wang P G, Teo K L, Liu Y QI Oscillation Properties for Even Order Neutral Differential Equations with Distributed Deviating Arguments. Comput. Appl. Math., 2005, 182:290-303.
  • 6Meng F W, Xu R. Oscillation Criteria for Certain Even Order Quasi-linear Neutral Differential Equations with Deviating Arguments. Appl. Math. Comput., 2007, 190:458-464.
  • 7Yu Y H, Fu X L. Oscillation of Second Order Nonlinear Differential Equations with Continuous Distributed Deviating Arguments. Rad, Mat., 1991, 7:167-176.
  • 8Philos Ch G. A New Criteria for the Oscillatory and Asympotic Behavior of Delay Differential Equa- tions. Bull. Acad. Pol. Sci. Ser.Sci.Mat., 1981, 39:61 -64.
  • 9Philos Ch G. Oscillation Theorems for Linear Differential Equation of Second Order. Arch. Math., 1989, 53:482-492.
  • 10Hardy G H, Littlewood J E, Polya G. Inequalities, Second ed. Cambridge: Cambridge Univ. Press, 1988.

共引文献1

同被引文献18

  • 1潘元元,韩振来.时标上二阶中立型时滞动力方程的振动性[J].济南大学学报（自然科学版）,2012,26(2):191-194. 被引量：5
  • 2仉志余,王晓霞,林诗仲,俞元洪.非线性二阶中立型时滞微分方程的振动和非振动准则[J].系统科学与数学,2006,26(3):325-334. 被引量：24
  • 3何宏庆,仉志余.二阶非线性中立型时滞微分方程的振动准则[J].数学的实践与认识,2007,37(23):130-134. 被引量：6
  • 4Han Zhenlai, Li Tongxing, Sun Shurong, et al. Oscillation criteria for second-order nonlinear neu- tral delay differential equations [J]. Advances in Difference Equations 2010, 2010 (Article ID 763278) :1 - 23.
  • 5Grammatikopoulos M K,Ladas G,Meimatidou A.Oscillation of Second Order Neutral Delay Differential Equation[J].Rad Mat,1985(1):267-274.
  • 6Han Z,Li T,Sun S,et al.Oscillation Criterial for Second Order Nonlinear Neutral Delay Differential Equations[J].Adv Difference Equ,2010,2010:1-23.
  • 7Baculikova.Oscillation Criteria for Second Order Nonlinear Differential Equations[J].Arch Math,2006,42:141-149.
  • 8Baculikova J.Dzurina,Oscillation Theorems for Second Order Nonlinear Neutral Differential Equations[J].Applied Mathematical Modelling,2011,62:4472-4478.
  • 9Liu L H,Bai Z.New Oscillation Criteria for Second Order Nonlinear Delay Differential Equtions[J].J Comput Appl Math,2009,231:657-663.
  • 10Xu R,Xia Y.A Note on the Oscillation of Second Order Nonlinear Neutral Functional Differential Equations[J].Int J Contemp Math Comput Sci,2008(3):1441-1450.

引证文献2

二级引证文献3

青岛理工大学学报
2014年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部