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一类二阶非线性泛函微分方程的振动性

Oscillation for a Class of Nonlinear Second Order Functional Differential Equations
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摘要 讨论了一类二阶非线性泛函微分方程的振动性,得到了该类方程所有解振动的新的充分条件,改进并推广了已有的结果. Oscillation of a class of second-order nonlinear functional differential equation is considered. A new sufficient condition for oscillation of all solutions of the equation was obtained which extended and improves some existing results.
作者 柴益琴
机构地区 太原理工大学财经学院
出处 《数学的实践与认识》 CSCD 北大核心 2007年第24期170-173,共4页 Mathematics in Practice and Theory
关键词 二阶泛函微分方程 非线性 振动性 second order functional differential oscillation nonlinear
分类号 O175 [理学—基础数学]
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参考文献6

  • 1Elshel M M A, SALLAM R. Oscillation criteria for second order functional differential equations[J]. Appl Math Comput,2000,115 (1):113--121.
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  • 4王其如.二阶非线性微分方程的振动准则[J].数学学报（中文版）,2001,44(2):371-376. 被引量：45
  • 5柴益琴.二阶非线性微分方程解的振动性与渐近性[J].太原理工大学学报,2005,36(2):232-234. 被引量：5
  • 6Erbe L. Oscillation criteria for second order nonlinear delay equations[J]. Canad Math Bull,1973,16(1):49--56.

二级参考文献10

  • 1[1]Rogovchenko Y. V., Oscillation Criteria for Certain Nonlinear Differential Equations [J], J. Math. Anal.Appl., 1999, 229(2): 399-416.
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共引文献48

数学的实践与认识
2007年 第24期

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