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  • 标题:Positive asymptotically almost periodic solutions for hematopoiesis model
  • 本地全文:下载
  • 作者:Xin Chen ; Hui-Sheng Ding
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:69
  • DOI:10.1186/s13662-016-0799-1
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:By using the fixed point theory and Lyapunov functional, we establish the existence and stability of asymptotically almost periodic solution to hematopoiesis of the form x ′ ( t ) = − a ( t ) x ( t ) + ∑ i = 1 k b i ( t ) 1 + x n ( t − τ i ( t ) ) $x'(t)=-a(t)x(t)+\sum_{i=1}^{k}\frac {b_{i}(t)}{1+x^{n}(t-\tau_{i}(t))}$ , t ∈ R $t\in\mathbb{R}$ . Unlike many previous related results, we do not assume the condition inf t ∈ R a ( t ) > 0 $\inf_{t\in\mathbb{R}}a(t)>0$ , which is a key assumption in their proofs.
  • 关键词:asymptotically almost periodic ; almost periodic ; hematopoiesis
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