Article
Full entry |
PDF
(0.4 MB)
Feedback
PDF
(0.4 MB)
Feedback
Keywords:
functional differential equation; periodic solution; fixed point theorem
functional differential equation; periodic solution; fixed point theorem
Summary:
In this paper, we study the existence of periodic solutions to a class of functional differential system. By using Schauder's fixed point theorem, we show that the system has aperiodic solution under given conditions. Finally, four examples are given to demonstrate the validity of our main results.
References:
[1] A. Wan, D. Jiang, Xu, X.: A new existence theory for positive periodic solutions to functional differential equations. Comput. Math. Appl. 47 (2004), 1257–1262. DOI 10.1016/S0898-1221(04)90120-4 | MR 2070981
[2] Cheng, S., Zhang, G.: Existence of positive periodic solutions for non-autonomous functional differential equations. Electron. J. Differential Equations 59 (2001), 1–8. MR 1863778 | Zbl 1003.34059
[3] Chow, S.: Existence of periodic solutions of autonomous functional differential equations. Differential Equations 15 (1974), 350–378. DOI 10.1016/0022-0396(74)90084-9 | MR 0336003 | Zbl 0295.34055
[4] Freedman, H. I., Wu, J.: Periodic solutions of single–species models with periodic delay. SIAM J. Math. Anal. 23 (1992), 689–701. DOI 10.1137/0523035 | MR 1158828 | Zbl 0764.92016
[5] Wang, H: Positive periodic solutions of functional differential equations. J. Differential Equations 202 (2004), 354–366. DOI 10.1016/j.jde.2004.02.018 | MR 2069005 | Zbl 1064.34052
[6] Jiang, D., Wei, J., Zhang, B.: Positive periodic solutions of functional differential equations and population models. Electron. J. Differential Equations 71 (2002), 1–13. MR 1921144 | Zbl 1010.34065
[7] Joseph, W., So, H., Yu, J.: Global attractivity and uniform persistence in Nicholson’s blowflies. Differential Equations Dynam. Systems 1 (1994), 11–18. MR 1386035
[8] Kuang, Y., Smith, H. L.: Periodic solutions of differential delay equations with threshold-type delays, oscillations and dynamics in delay equations. Contemp. Math. 129 (1992), 153–176. DOI 10.1090/conm/129/1174140 | MR 1174140
[9] Li, Z., Wang, X.: Existence of positive periodic solutions for neutral functional differential equations. Electron. J. Differential Equations 34 (2006), 1–8. MR 2213578 | Zbl 1099.34063
[10] Weng, P., Liang, M.: The existence and behavior of periodic solution of hematopoiesis model. Math. Appl. 4 (1995), 434–439. MR 1356679
Search
Partner of
