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Difference Equations, Discrete Dynamical Systems and Applications pp 37–48Cite as

Pullback and Forward Attractors of Nonautonomous Difference Equations

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 150))

Abstract

In 1998 at the ICDEA Poznan the first author talked about pullback attractors of nonautonomous difference equations. That talk was published as [7] in the Journal of Difference Equations & Applications in 2000. Since then the theory of nonautonomous dynamical systems has been the topic of many papers and there are some new developments, in particular concerning the construction of forward nonautonomous attractors, that will be discussed here.

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References

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Acknowledgments

This work was partially supported by DFG grant KL 1203/7-1, the Spanish Ministerio de Ciencia e Innovación project MTM2011-22411, the Consejería de Innovación, Ciencia y Empresa (Junta de Andalucía) under the Ayuda 2009/FQM314 and the Proyecto de Excelencia P07-FQM-02468.

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Peter Kloeden

  2. Applied Mathematics, RheinMain University of Applied Sciences, 65197, Wiesbaden, Germany

    Thomas Lorenz

Authors
  1. Peter Kloeden
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  2. Thomas Lorenz
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Corresponding author

Correspondence to Peter Kloeden .

Editor information

Editors and Affiliations

  1. Missouri University of Science and Techn Dept. of Mathematics and Statistics, Rolla, Montana, USA

    Martin Bohner

  2. Chinese Academy of Sciences Wuhan Institute of Physics and Mathemati, Wuhan, China

    Yiming Ding

  3. Faculty of Science, Masaryk University Faculty of Science, Brno, Czech Republic

    Ondřej Došlý

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Kloeden, P., Lorenz, T. (2015). Pullback and Forward Attractors of Nonautonomous Difference Equations. In: Bohner, M., Ding, Y., Došlý, O. (eds) Difference Equations, Discrete Dynamical Systems and Applications. Springer Proceedings in Mathematics & Statistics, vol 150. Springer, Cham. https://doi.org/10.1007/978-3-319-24747-2_3

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