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一类三阶常系数中立型时滞微分方程的振动性

Oscillation of a Class of Third Order Neutral Delay Differential Equations with Constant Coefficients
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摘要 研究了一类三阶常系数的中立型时滞微分方程的振动准则,得到了在不同条件下的振动准则.给出了这类中立型时滞微分方程振动的必要和充分条件. Studying the oscillation of a class of third order neutral delay differential equations with constant coefficients and getting the criterion of oscillation under different conditions. Besides, the necessary and sufficient conditions are given. And some examples are considered to illustrate the results.
作者 李紫君 赵建卫 LI Zijun;ZHAO Jianwei(Department of Public Basic Course Education,Zhengzhou Technology and Business University,Zhengzhou 451400,China)
机构地区 郑州工商学院公共基础课教学部
出处 《河南教育学院学报（自然科学版）》 2018年第3期9-13,共5页 Journal of Henan Institute of Education(Natural Science Edition)
基金 河南省社科联 河南省经团联调研课题(SKL-2018-999 SKL-2017-2340)
关键词 中立型 时滞微分方程 三阶 常系数 neutral delay differential equations third order constant coefficients
分类号 O175 [理学—基础数学]
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  • 1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
  • 2R. P. Agarwal, S. R. Grace and D. O'Regan, Oscillation Theory for Difference and Functional Differential Equations, Kluwer, Dordrecht,2000.
  • 3R. P. Agarwal, S. R. Grace and D. O' Regan, Oscillation Theory for Second order Dynamic Equations, Taylor & Francis, London, 2003.
  • 4L. H. Erbe,Q. Kong and B. G. Zhang, Oscillation Theory for Functional Differential Equations,Marcel Dekker, New York,1995.
  • 5M. F. Aktas, A. Tiryaki and A. Zafer, Oscillation criteria for third order nonlinear functional differential equations, Appl. Math. Letters ,23 (2010) :756 - 762.
  • 6S. R. Grace, R. P. Agarwal, R. Pavani, E. Thandapani, On the oscillation of certain third order nonlinear functional differential equations, Appl. Math. Comput. 202 (2008) : 102 - 112.
  • 7S. R. Grace, R. P. Agarwal and M. F. Aktas, On the oscillation of third order functional differential equations, Indian J. Pure Appl. Math. 39(2008) :491 -507.
  • 8N. Parhi and S. Padhi, Asymptotic behivior of solutions of third order delay differential eguations, Indian J. Pure Appl. Math 33 (2002): 1609 - 1620.
  • 9A. Tiryaki and S. Yaman, Asymptotic behavior of a class of nonlinear functional differential equations of ihird order, Appl. Math. letters, 14(2001 ) :327 - 332.
  • 10A. Tiryaki and M. F. Aktas, Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325(2007) :54 - 68.

共引文献46

河南教育学院学报（自然科学版）
2018年 第3期

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