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Oscillation of Second-order Delay Differential Equation 被引量:2

Oscillation of Second-order Delay Differential Equation
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摘要 By using some differential inequality, a second-order delay differential equation(r(t)x′(t))′ + p(t)x(q(t)) = 0has been investigated and some necessary condition for this equation has a nonoscillatorysolution and some sufficient condition which ensures that all of the solutions of the aboveequation are oscillatory are obtained.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第1期30-34,共5页 数学季刊(英文版)
基金 Supported by the National Natural Science Foundation of China(10061004) Supported by the Natural Sciences Foundation of Yunnan province(2003A0001M)
关键词 differential equation DELAY OSCILLATION differential inequality 振动 延迟 微分方程 稳定性
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参考文献3

  • 1AGAWAL R P,GRACE S R.Oscillation of certain functional equations[].Computers and Mathematics With Applications.1999
  • 2YAN Ju-ran.The Oscillation properties for the solutions of thesecond-order differential equation with "small integral" coefficient[].Acta Sinica.1987
  • 3AGAWAL R P,GRACE S R.Oscillation critia for certain nth orderdifferential equations with deviating arguments[].Journal of Mathematical Analysis and Applications.2001

同被引文献5

  • 1[3]Zhang Quan-xin, Yan Ju-rang. Oscillation for a class of second order nonlinear differential equations with damping[J]. J Sys Sci and Math Scis, 2004,24(3):296-302.
  • 2AGAWAL R P,GRACE S R,REGAN D Q Oscillation Theorem for Difierence and Functional Differential Equation[M].Netherlands:Kluwer Academic Publishers.2000.
  • 3ERBE I H,KONG Q,ZHANG B G.Oscillation Theorem for Functional Equations[M].New York:Marcel Dekler,1995.
  • 4AGARWAL R P,GRACE S R,O'REGAN D.Oscillation Critia for Certain nth Order Differential Equations with Deviating Arguments[J].J Math Anal Appl,2001,262(2):601-622.
  • 5陈伯山.二阶非线性阻尼微分方程的振动性判据[J].应用数学学报,1992,15(2):166-173. 被引量:24

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