Periodic solutions of second order nonlinear functional difference equations

Yuji Liu

Archivum Mathematicum (2007)

  • Volume: 043, Issue: 1, page 67-74
  • ISSN: 0044-8753

Abstract

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Sufficient conditions for the existence of at least one T - periodic solution of second order nonlinear functional difference equations are established. We allow f to be at most linear, superlinear or sublinear in obtained results.

How to cite

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Liu, Yuji. "Periodic solutions of second order nonlinear functional difference equations." Archivum Mathematicum 043.1 (2007): 67-74. <http://eudml.org/doc/250151>.

@article{Liu2007,
abstract = {Sufficient conditions for the existence of at least one $T-$periodic solution of second order nonlinear functional difference equations are established. We allow $f$ to be at most linear, superlinear or sublinear in obtained results.},
author = {Liu, Yuji},
journal = {Archivum Mathematicum},
keywords = {periodic solutions; second order functional difference equation; fixed-point theorem; growth condition; periodic solutions; second order functional difference equation; fixed-point theorem; growth condition},
language = {eng},
number = {1},
pages = {67-74},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Periodic solutions of second order nonlinear functional difference equations},
url = {http://eudml.org/doc/250151},
volume = {043},
year = {2007},
}

TY - JOUR
AU - Liu, Yuji
TI - Periodic solutions of second order nonlinear functional difference equations
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 1
SP - 67
EP - 74
AB - Sufficient conditions for the existence of at least one $T-$periodic solution of second order nonlinear functional difference equations are established. We allow $f$ to be at most linear, superlinear or sublinear in obtained results.
LA - eng
KW - periodic solutions; second order functional difference equation; fixed-point theorem; growth condition; periodic solutions; second order functional difference equation; fixed-point theorem; growth condition
UR - http://eudml.org/doc/250151
ER -

References

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  11. Raffoul Y. N., Positive periodic solutions for scalar and vector nonlinear difference equations, Pan-American J. Math. 9 (1999), 97–111. (1999) 
  12. Wang Y., Shi Y., Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions, J. Math. Anal. Appl. 309 (2005), 56–69. Zbl1083.39019MR2154027
  13. Zeng Z., Existence of positive periodic solutions for a class of nonautonomous difference equations, Electronic J. Differential Equations 3 (2006), 1–18. Zbl1093.39014MR2198916
  14. Zhang R., Wang Z., Chen Y., Wu J., Periodic solutions of a single species discrete population model with periodic harvest/stock, Comput. Math. Appl. 39 (2000), 77–90. Zbl0970.92019MR1729420
  15. Zhu L., Li Y., Positive periodic solutions of higher-dimensional functional difference equations with a parameter, J. Math. Anal. Appl. 290 (2004), 654–664. Zbl1042.39005MR2033049

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