期刊文献+

二阶非线性微分方程的振动性与渐近性 被引量:1

Oscillatory and Asymptotic Behavior for Second Order Nonlinear Differential Equations
下载PDF
导出
摘要 本文给出关于二阶非线性常微分方程和时滞微分方程的一些新的振动准则 ,还讨论了一类受迫摄动非线性微分方程解的渐近性 . This paper discusses the oscillation of second order nonlinear ordinary differential equations and delay differential equations. Some new oscillation criteria for the equations are obtained. Asymptotic behavior of solutions for a class of forced perturbed nonlinear differential equations is disscussed.
作者 王其如
出处 《洛阳师范学院学报》 2000年第5期5-8,共4页 Journal of Luoyang Normal University
关键词 非线性微分方程 正常解 振动性 渐近性 二阶 时滞 受迫摄动 nonlinear differential equation proper solution oscillation asymptotic behavior
  • 相关文献

参考文献7

  • 1[1]Rogovchenko Y V. Oscillation criteria for certain nonlinear differential equations[J]. J Math Anal Appl, 1999, 229(2): 399 -416.
  • 2[2]Hamedani G G, Krenz G S. Oscillation criteria for certain second order differential equations[J]. J Math Anal Appl, 1990, 149(1): 271 - 276.
  • 3[3]Grace S R, Lalli B S. An oscillation criterion for certain second order strongly sublinear differential equations[J]. J Math Anal Appl, 1987, 123(2): 584- 588.
  • 4[4]Harris B J, On the oscillation of solutons of linear differential equatons[J]. Mathematika, 1984, 31: 214 - 226.
  • 5[5]Li H J, Ocillation criteria for second order linear differential equations[J]. J Math Anal Appl, 1995, 199(1): 217 - 234.
  • 6[6]Philos Ch G. Oscillation theorems for linear differential equations of second order[J]. Arch Math (Basel), 1989, 53(5): 482 -492.
  • 7[7]Erbe L. Oscillation criteria for second order nonlinear delay equations[J]. Canad Math Bull, 1973, 16(1): 49- 56.

同被引文献12

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部