期刊文献+

一类非线性二阶微分方程解的振动与非振动性

Oscillation and Nonoscillation for a Class of Nonlinear Differential Equations of Second Order
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摘要 讨论了非线性微分方程(φ( ′))′+q(t)φ( )=0,t≥t0,q(t)≥0的解的振动与非振动条件,改进了相关文献的结果. Some oscillation and nonoscillation criteria for nonlinear differential equation(φ(x′))′+q(t)φ(x)=0,t≥t_0,q(t)≥0 are given,which improve the results of the related papers.
作者 金楚华
出处 《广东工业大学学报》 CAS 2004年第4期104-109,共6页 Journal of Guangdong University of Technology
关键词 非线性方程 振动 非振动 nonlinear equations oscillation nonoscillation
  • 相关文献

参考文献2

二级参考文献4

  • 1[1]Swanson C. A., Comparison and Oscillatory Theory of Linear Differential Equations [M], New York: Academic Press, 1968.
  • 2[2]Elbert A., Oscillation/Nonoscillation Criteria for Linear Second Order Differential Equations [J], J. Math.Anal. Appl., 1998, 226: 207-219.
  • 3[3]Mirzov D. D., On Some Analogs of Sturm's and Kneser's Theorems for Nonlinear Systems [J], J. Math. Anal.Appl., 1976, 53: 418-425.
  • 4[4]Kusano K., Yoshida N., Nonoscillation Theorems for a Class of Quasilinear Differential Equations of Second Order [J], J. Math. Anal. Appl., 1995, 189: 115-127.

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