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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 11
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Original Articles

Positive periodic solutions of state-dependent functional differential equations

Yuji Liu Department of Mathematics, Hunan Institute of Science and Technology, Yueyang, 414000, P.R. China; Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. ChinaCorrespondence[email protected]
&
Weigao Ge Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China
Pages 1079-1094 | Received 08 Oct 2002, Accepted 03 May 2003, Published online: 04 Sep 2006

References

  • Li , YK . 1997 . Periodic solutions of a periodic neutral delay equation . Journal of Mathematical Analysis and Applications , 214 : 11 – 21 .
  • Wang , K . 1996 . Positive periodic solutions of neutral delay equations (in Chinese) . Acta Mathematica Sinica , 6 : 789 – 795 .
  • Mawhin , J . 1974 . Periodic solution of some vector retarded functional differential equations . Journal of Mathematical Analysis and Applications , 45 : 588 – 603 .
  • Gatica , JA and Smith , HL . 1977 . Fixed point theorems in a cone with applications . Journal of Mathematical Analysis and Applications , 61 : 58 – 71 .
  • Guo DJ Sun JX Zh LLiu 1995 Functional Methods for Nonlinear Ordinary Differential Equations Jinan Shandong Science and Technology Press (in Chinese)
  • Zhang , G and Cheng , SS . 2001 . Existence of positive periodic solutions of non-autonomous functional differential equations . Electronic Journal of Differential Equations , 59 : 1 – 8 .
  • Luo , JW . 2000 . Oscillation for nonlinear delay differential equations with impulses . Journal of Mathematical Analysis and Applications , 250 : 290 – 298 .
  • Yan , JY and Zhao , A . 1998 . Oscillation and stability of linear impulsive delay differential equations . Journal of Mathematical Analysis and Applications , 227 : 187 – 194 .
  • Bainov , D and Stamova , IM . 1996 . On the practical stability of impulsive systems of differential-difference equations with variable impulsive perturbations . Journal of Mathematical Analysis and Applications , 200 : 272 – 288 .
  • Lakshmikantham V Bainov DD Simenov PS 1989 Theory of Impulsive Differential Equations Singapore World Scientific
  • Zhang , XS and Yan , JY . 1998 . Global attractivity in impulsive functional differential equation . Indian Journal of Pure and Applied Mathematics , 29 ( 5 ) : 871 – 878 .
  • Bainov DD Simconov PS 1993 Impulsive Differential Equations: Periodic Solutions and Applications Harlow Longman
  • Weng , P and Liang , M . 1995 . The existence and behavior of periodic solutions of a Hematopoiesis model . Mathematica Applicata , 8 : 434 – 439 .
  • Wazewska-Czyzewska , M and Lasota , A . 1976 . Mathematical models of red cells system . Matematyta Stosowana , 6 : 25 – 40 .
  • Chow , SN . 1974 . Existence of Periodic solutions of Autonomous Functional Differential Equations , 15 : 350 – 378 .
  • Mackey , MC and Glass , I . 1977 . Oscillations and chaos in physiological control systems . Science , 197 : 287 – 289 .
  • Gurney , WS , Blythe , SP and Nisbet , RM . 1980 . Nicholson's Blowflies revised . Nature , 287 : 17 – 21 .
  • Gyori I Ladas G 1991 Oscillation Theory of Delay Differential Equations with Applications Oxford Clarendon Press

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