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含阻尼项的二阶半线性微分方程的振动性

Preparation and Stability of Polyhalite(Sylvite) Powder
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摘要 利用广义变分原理,Riccati-变换,函数求导以及函数的单调性,对一类带有阻尼项的二阶半线性微分方程解的振动性进行研究,得出了一些新的成果,从而改进和推广了最近的一些论文文献. In this paper, using the generalized variational principle, Riccati- transformation,and the monotonicity of the functions,we study the oscillation of a class of second order half-lineardifferential equations with damping term,and obtain some new results,with improve and generalizes some recent literatures.
作者 崔亚峰
出处 《济宁学院学报》 2015年第3期82-86,90,共6页 Journal of Jining University
关键词 振动性 阻尼项 广义变分原理 半线性微分方程 oscillation forcing term generalized variational principle half-linear differential equation
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参考文献5

  • 1A Elbert. A half-linear second order differential equation, Colloq[J].Math.Soc.Janos Bol-yai: Qualitative Theory of Differential Equations, Szeged ,1979:153-180.
  • 2H J Li, C C Yeh. Sturm comparison theorem for half-linear second order differential equations[J]. Proc. Roy.Edinbu rgh, 1995, (125A) :1193-1240.
  • 3H L Hong, W C Lian, C C Yeh. The oscillation of half-linear differential equations with an oscillatory coeffcient[J]. Math. Comput. Modelling,1996:77-86.
  • 4J S W Wong. Oscillation criteria for a forced second order linear dif-ferential eqautions[J].J. Math. Anal. Appl. 1999:235-240.
  • 5J Jaros, T Kusano. A Picone type identity for second order half-linear differential eqautions[J]. Acta Math. Univ. Comenianae 199,68(1) :137-151.

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