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Oscillation Criterion for a Class of Higher Order Delay Differential Equations

Oscillation Criterion for a Class of Higher Order Delay Differential Equations
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摘要 In this paper, we investigate a class of higher order delay differential equation x(n)(t)+p(t)x(t-t)=0 where is an even positive integer,p()C([to,=()]). We obtain a new oscillation condition for this class. In this paper, we investigate a class of higher order delay differential equation x^(n)(t)+(p)x(t-τ)=0 where n is an even positive integer, p∈C([ t0,+∞)). We obtain a new oscillation condition for this class.
作者 王智慧
出处 《湖南科技学院学报》 2005年第11期30-32,共3页 Journal of Hunan University of Science and Engineering
关键词 高阶微分方程 函数论 振动微分方程 震荡解 Higher order delay differential equation oscillation non-oscillation
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参考文献5

  • 1G.G. Hamedani and G.S. Krenz ,Oscillation criteria for certain second order differential equations, J. Math. Anal. Appl., 149 (1990), 271-276.
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  • 3Y.V. Rogovchenko, An oscillation criterion for a class of nonlinear functional differential equations , Applied Mathematics Letters , 14 (2001), 81-85.
  • 4G.S. Ladde, V. Lakshmikantham and B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.
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