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一类二阶非线性微分方程解的振动性与渐近性 被引量：9

OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF CERTAIN SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS
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摘要 本文研究了二阶非线性微分方程的解的振动性与渐近性.其中σ是一个偶数与奇数的正商.所得的结果是新的,其中之一修正了Wong的结果. In this paper, oscillatory and asymptotic behavior of solutions of the second order nonlinear differential equation(a(t)(y'(t))σ)' + q(t)f(y(t)) = 0, t ≥t0are considered, where σ is a positive quotient of even over odd integers. The results obtained are new and one of them revises wong's result.
作者 白玉真
机构地区 华东师范大学数学系
出处 《数学年刊（A辑）》 CSCD 北大核心 2002年第3期339-344,共6页 Chinese Annals of Mathematics
基金 华东师范大学研究生基金资助的项目.
关键词 振动 渐近性 非线性微分方程 正商 Oscillation, Asymptotic behavior, Nonlinear differential equation, Positive quotient
分类号 O175.2 [理学—基础数学]
  • 相关文献

参考文献4

  • 1Li, W. T., Oscillation of certain second order nonlinear differential equations [J], J.Math. Anal. Appl., 217:1(1998), 1-14.
  • 2Wong, P. J. Y. & Agarwal, R. P., Oscillatory behavior of solutions of certain second order nonlinear differential equations [J], J. Math. Anal. Appl. 198(1996), 337-354.
  • 3Wong, P. J. Y. & Agarwal, R. P., Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations [J], Math. Comput. Modelling, 21:3(1995), 63-84.
  • 4Bai, Y. Z., Oscillatory and asymptotic behavior of solutions for second order difference equations [D], Master Thesis, Qufu Normal University, 1999.

同被引文献19

  • 1潘泉,于昕,程咏梅,张洪才.信息融合理论的基本方法与进展[J].自动化学报,2003,29(4):599-615. 被引量：181
  • 2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
  • 3LI W T. Oscillation of certain second order nonlinear differential equation[ J]. J. Math. Anal. Appl. , 1998,217 : 1 - 14.
  • 4HWANG Tsang-hwai, LI Horng-jaan, YEH Cheh-chih. Asymptotic behavior of nonoscillatory solutions of second order differen- tial equations[ J]. Computer & mathematics with applications ,2005,50:271 - 280.
  • 5KULENOVIC M R S. LJUBOVIC C. The asymptotic behavior of nonoscillatory solutions of some nonlinear differential equa- tions[ J]. Nonlinear Analysis,2000,42:821 - 833.
  • 6LI Wan-tong. Oscillation of certain second-order nonlinear differential equations [ J ]. J. M. A. A, 1998,217:1 - 14.
  • 7WONG J Y, AGARWAL R P. Oscillatory behavior of solutions of certain second order nonlinear differential equations [ J ]. J Math. Anal. Appl. , 1986,198:337 - 354.
  • 8WONG P J Y, AGARWAL R P. Oscillatory behavior of solutions of certain second order nonlinear differential equations[ J] J. M. A. A, 1996,198:337 -354.
  • 9Li, W T. Oscillation of certain Second order nonlinear differential equations [J]. J. Math Anal Appl, 1998, 217(1): 1 - 14.
  • 10Bai,Y Z. Oscillatory and asymptotic behavior of solutions for second order difference equations [D]. Master Thesis: Qufu Normal University, 1999.

引证文献9

二级引证文献2

数学年刊（A辑）
2002年 第3期

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