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关于一类非线性微分方程非振动解的渐近性

Asymptotic Behavior of Nonoscillatory Solutions of Certain Nonlinear Differential Equations
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摘要 本文研究了二阶非线性微分方程(a(t)φ(y′(t)))′+f(t,y(t))=0,t≥t0的非振动解的渐近性。 In this paper,the asymptotic behavior of the nonoscillatory solutions of the differential equation（a（t）（y′（t）））′＋f（t,y（t））=0,t≥t0 is studied.
作者 苏丹
机构地区 湛江师范学院基础教育学院数学系
出处 《长春师范学院学报（自然科学版）》 2011年第2期1-4,共4页 Journal of Changchun Teachers College
关键词 非振动解 渐近性 微分方程 nonoscillatory solutions asymptotic behavior differential equations
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献8

  • 1侯新华,厉亚.二阶非线性泛函微分方程解的振动性与渐近性[J].湖南城市学院学报（自然科学版）,2004,13(4):44-45. 被引量：15
  • 2W. T. Li, Oscillation of certain second order nonlinear differential equations[ J]. J. Math. Anal. Appl., 1998,217:1 - 14.
  • 3Tsang - Hwai Hwang Homg - Jaan Li and CHEH - CHIll YEH. Asymptotic behavior of nonoscillatory solutions of second order differential equations[J]. Computer & mathematics with applications,2005,50:271 -280.
  • 4M. R. S. Kulenovic, C. Ljubovic. The asymptotic behavior of nonoscillatory solutions of some differential equations[ J]. Nonlinear Analysis, 2000,42: 821 - 833.
  • 5彭名书,葛渭高,王准.非线性泛函微分方程解的性态[J].应用数学学报,2002,25(2):366-371. 被引量：16
  • 6Wan - Tong Li. Oscillation of certain second - order nonlinear differential equations[J]. J. M. A. A, 1998,217:1 - 14.
  • 7Wong, P. J. Y. & Agarwal, R. P. Oscillatory behavior of solutions of certain second order nonlinear differential equations[J]. J. Math. Anal. Appl., 1996,198 : 337 - 354.
  • 8Patricia J. y. Wong and Ravi P. Agarwal. Oscillatory behavior of solutions of certain second order nonlinear differential equations[ J ]. J. M. A. A, 1996,198: 337 - 354.

二级参考文献10

  • 1侯新华,厉亚.二阶非线性泛函微分方程解的振动性与渐近性[J].湖南城市学院学报（自然科学版）,2004,13(4):44-45. 被引量：15
  • 2[1]W T Li.Oscillation of certain second order nonlinear differential equation[J]. J M A A 1998,217(1):1-14.
  • 3[2]P J Y Wong, R P Agarwal.Oscillatory behavior of solutions of certain second order nonlinear differential equations[J]. J. M. A. A. 1996, 198(2):337-354.
  • 4Li Wantong.Positive Solutions of Second order Nonlinear Differential Equations[].Journal of Mathematical Analysis and Applications.1998
  • 5Peng Mingshu,Ge Weigao,Huang Lihong,Xu Qianli.A Correction on the Oscillatory Behavior of Solutions of Certain Second-order Nonlinear Differential Equations[].Applied Mathematics and Computation.1999
  • 6Li Wantong.Oscillation of Certain Second-order Nonlinear Differential Equations[].Journal of Mathematical Analysis and Applications.1998
  • 7Hsu H B,Yeh C C.Oscillation Theorems for Second Order Half-linear Differential Equations[].Applied Mathematics Letters.1996
  • 8Agarwal R P,Shiow-Ling Shieh,Cheh-chih Yeh.Oscillation Criteria for Second Order Retarded Differential Equations[].Mathematical and Computer Modelling.1997
  • 9白玉真.二阶差分方程解的振动性与渐近性[J].系统科学与数学,2001,21(2):223-234. 被引量：5
  • 10彭名书,葛渭高,王准.非线性泛函微分方程解的性态[J].应用数学学报,2002,25(2):366-371. 被引量：16

共引文献23

长春师范学院学报（自然科学版）
2011年 第2期

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