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  • 标题:Numerical oscillations for first-order nonlinear delay differential equations in a hematopoiesis model
  • 本地全文:下载
  • 作者:Qi Wang ; Jiechang Wen ; Shenshan Qiu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:163
  • DOI:10.1186/1687-1847-2013-163
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we consider the oscillations of numerical solutions for the nonlinear delay differential equations in a hematopoiesis model. Using two θ-methods, namely the linear θ-method and the one-leg θ-method, several conditions, under which the numerical solutions oscillate, are obtained. Moreover, it is proved that every non-oscillatory numerical solution tends to an equilibrium point of the original system. Some numerical experiments are provided to support the theoretical results. MSC:65L05, 65L20.
  • 关键词:nonlinear delay differential equations ; numerical solutions ; oscillations ; non-oscillations
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