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一类AFDE的振动性及其应用 被引量：3

Osillattion of AFDE and its applications
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摘要 讨论了一类具有定号系数的超前型泛函微分方程解的振动性,得到这类方程振动的"sharp"条件,从而改进了现有文献的相关结论,并通过例子验证所给结果的有效性. This paper discusses oscillations of function differential equation with cotion,and obtains sharp conditions of equation（1）,thus improving the conclusions in existing papers.The effectiveness is proved by examples.
作者 秦宏立
机构地区 延安大学数学与计算机学院
出处 《西南民族大学学报（自然科学版）》 CAS 2010年第6期885-889,共5页 Journal of Southwest Minzu University(Natural Science Edition)
基金 国家自然科学基金资助项目(10771129) 陕西省教育厅自然科学基金资助项目(09BZ29)
关键词 定号系数 超前型 泛函微分方程 振动性 cotion pre-kind function differential equation oscillation
分类号 O175.15 [理学—基础数学]
  • 相关文献

参考文献2

  • 1LADAS G,STAVROULAKIS I P.Oscillations caused by several retarded and advanced arguments[J].J Diff Equa,1982(44):134-152.
  • 2KUSANO T.On even order functional differential equation with advanced and retarded arguments[J].J Differential Equation,1982(45):75-84.

同被引文献12

  • 1魏俊杰.一阶偏差变元微分方程振动的充要条件及应用[J].数学学报（中文版）,1989,32(5):632-638. 被引量：62
  • 2郑祖麻．泛函微分方程理论[M]．合肥：安徽教育出版社，1994．
  • 3LADAS G, ST, AVROULAKIS I P. Oscillations Caused by Several Retarded and Advanced Arguments[J]. J. Diff. Equa. ,1982(44) :134 - 152.
  • 4Ladas G, Stavroulakis I P. Oscillations caused by several re- tarded and advanced arguments [ J ]. J Diff Eqs, 1982,44: 134 - 152.
  • 5Kusano T. On even order functional differential equation with advanced and retarded arguments [ J]. J Diff Eqs, 1982,45: 75 - 84.
  • 6Huang Q G. Comparison theorems for first order retarded functions [ J ]. J Diff Integal Eqs, 1991 (4) : 1101 - 1112.
  • 7G LADAS,I P STAVROULAKIS. Oscillations caused by several retarded and advanced arguments[J]. J Diff Equa, 1982(44):134-152.
  • 8BINGTUAN LI. Oscillations of delay differential equation with variable coefficients[J]. J Math Anal Appl,1995(192): 312-321.
  • 9R G KOPLATADZE, T A Chanturria. On oscillatoiy and monotone solutions of first order differential equations with deviatingarguments[J], J Diff Equa, 1982(18):1463-1465.
  • 10XIANYI LI, DEMING ZHU. Oscillations and nonoscillation of advanced differential equations with variable coefficients[J]. J MathAnal Appl, 2002,269(2): 462-488.

引证文献3

二级引证文献2

西南民族大学学报（自然科学版）
2010年 第6期

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