Existence of positive periodic solutions of higher-order functional difference equations

Xin-Ge Liu; Mei-Lan Tang

Applications of Mathematics (2014)

  • Volume: 59, Issue: 1, page 25-36
  • ISSN: 0862-7940

Abstract

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Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.

How to cite

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Liu, Xin-Ge, and Tang, Mei-Lan. "Existence of positive periodic solutions of higher-order functional difference equations." Applications of Mathematics 59.1 (2014): 25-36. <http://eudml.org/doc/260762>.

@article{Liu2014,
abstract = {Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.},
author = {Liu, Xin-Ge, Tang, Mei-Lan},
journal = {Applications of Mathematics},
keywords = {positive periodic solution; existence of positive periodic solution; fixed-point theorem; difference equation; functional difference equation; fixed-point theorem; positive periodic solution},
language = {eng},
number = {1},
pages = {25-36},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of positive periodic solutions of higher-order functional difference equations},
url = {http://eudml.org/doc/260762},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Liu, Xin-Ge
AU - Tang, Mei-Lan
TI - Existence of positive periodic solutions of higher-order functional difference equations
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 1
SP - 25
EP - 36
AB - Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.
LA - eng
KW - positive periodic solution; existence of positive periodic solution; fixed-point theorem; difference equation; functional difference equation; fixed-point theorem; positive periodic solution
UR - http://eudml.org/doc/260762
ER -

References

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  7. Raffoul, Y. N., Positive periodic solutions of nonlinear functional difference equations, Electron. J. Differ. Equ. (electronic only) 2002 (2002), Paper No. 55. (2002) Zbl1007.39005MR1911922
  8. Wang, W., Chen, X., 10.1016/j.aml.2010.08.013, Appl. Math. Lett. 23 (2010), 1468-1472. (2010) Zbl1205.39016MR2718532DOI10.1016/j.aml.2010.08.013
  9. Zhang, R. Y., Wang, Z. C., Chen, Y., Wu, J., 10.1016/S0898-1221(99)00315-6, Comput. Math. Appl. 39 (2000), 77-90. (2000) Zbl0970.92019MR1729420DOI10.1016/S0898-1221(99)00315-6
  10. Zhu, L., Li, Y., 10.1016/j.jmaa.2003.10.014, J. Math. Anal. Appl. 290 (2004), 654-664. (2004) Zbl1042.39005MR2033049DOI10.1016/j.jmaa.2003.10.014

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