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一类超前型泛函微分方程振动性的比较定理 被引量:1

Oscillation Comparison Theorem for a Kind of Functional Differential Equation with Advanced Argument
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摘要 运用反证法讨论一类超前型泛函微分方程振动性的比较定理,并利用这个比较定理给出此类方程振动的充分性条件。 We use the reduction to absurdity to discuss an oscillation comparison theorem for a kind of first - order functional differential equation with advanced argument, and make use of the comparison theorem to give that the vi- bration of the sufficient conditions.
出处 《延安大学学报(自然科学版)》 2012年第4期18-20,共3页 Journal of Yan'an University:Natural Science Edition
关键词 超前型 泛函微分方程 比较定理 振动性 pre - kind functional differential equation comparison theorem oscillation
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参考文献5

  • 1Ladas G, Stavroulakis I P. Oscillations caused by several re- tarded and advanced arguments [ J ]. J Diff Eqs, 1982,44: 134 - 152.
  • 2Kusano T. On even order functional differential equation with advanced and retarded arguments [ J]. J Diff Eqs, 1982,45: 75 - 84.
  • 3秦宏立.一类AFDE的振动性及其应用[J].西南民族大学学报(自然科学版),2010,36(6):885-889. 被引量:3
  • 4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
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二级参考文献4

  • 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.
  • 3钱祥征,Ann Differ Equ,1987年,3卷,3期,351页
  • 4钱祥征,科学通报,1987年,16期,1277页

共引文献63

同被引文献2

  • 1Kusano T. On even order functional differential equation with advanced and retarded arguments [ J]. J Diff Eqs, 1982 (45) :75 -84.
  • 2华中师范大学数学系编.数学分析(第三版)[M].北京:高等教育出版社,2004.01.

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