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  • 标题:Three positive periodic solutions of second order nonlinear neutral functional differential equations with delayed derivative
  • 本地全文:下载
  • 作者:He Yang ; Lu Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-12
  • DOI:10.1186/s13662-020-02630-z
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper deals with the existence of three positive periodic solutions for a class of second order neutral functional differential equations involving the delayed derivative term in nonlinearity $(x(t)-cx(t-\delta)){''}+a(t)g(x(t))x(t)=\lambda b(t)f(t,x(t),x(t-\tau_)(t)),x'(t-\tau_,(t)))$. By utilizing the perturbation method of positive operator and Leggett–Williams fixed point theorem, a group of sufficient conditions are established.
  • 关键词:Neutral functional differential equation;Positive periodic solution;Delayed derivative;Cone;Leggett–Williams fixed point theorem;
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