Periodic solutions for a class of functional differential system

Weibing Wang; Baishun Lai

Archivum Mathematicum (2012)

  • Volume: 048, Issue: 2, page 139-148
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Wang, Weibing, and Lai, Baishun. "Periodic solutions for a class of functional differential system." Archivum Mathematicum 048.2 (2012): 139-148. <http://eudml.org/doc/246167>.

@article{Wang2012,
abstract = {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.},
author = {Wang, Weibing, Lai, Baishun},
journal = {Archivum Mathematicum},
keywords = {functional differential equation; periodic solution; fixed point theorem; functional differential equation; periodic solution; fixed point theorem},
language = {eng},
number = {2},
pages = {139-148},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Periodic solutions for a class of functional differential system},
url = {http://eudml.org/doc/246167},
volume = {048},
year = {2012},
}

TY - JOUR
AU - Wang, Weibing
AU - Lai, Baishun
TI - Periodic solutions for a class of functional differential system
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 2
SP - 139
EP - 148
AB - 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.
LA - eng
KW - functional differential equation; periodic solution; fixed point theorem; functional differential equation; periodic solution; fixed point theorem
UR - http://eudml.org/doc/246167
ER -

References

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  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. (2002) Zbl1010.34065MR1921144
  7. Joseph, W., So, H., Yu, J., Global attractivity and uniform persistence in Nicholson’s blowflies, Differential Equations Dynam. Systems 1 (1994), 11–18. (1994) MR1386035
  8. Kuang, Y., Smith, H. L., 10.1090/conm/129/1174140, Contemp. Math. 129 (1992), 153–176. (1992) MR1174140DOI10.1090/conm/129/1174140
  9. Li, Z., Wang, X., Existence of positive periodic solutions for neutral functional differential equations, Electron. J. Differential Equations 34 (2006), 1–8. (2006) Zbl1099.34063MR2213578
  10. Weng, P., Liang, M., The existence and behavior of periodic solution of hematopoiesis model, Math. Appl. 4 (1995), 434–439. (1995) MR1356679

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