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A general class of iterative equations on the unit circle

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Abstract

A class of functional equations with nonlinear iterates is discussed on the unit circle T 1. By lifting maps on T 1 and maps on the torus T N to Euclidean spaces and extending their restrictions to a compact interval or cube, we prove existence, uniqueness and stability for their continuous solutions.

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Authors and Affiliations

  1. Institute of Mathematics, Pedagogical University of Krakow, Podchorążych 2, 30-084, Krakow, Poland

    Marek C. Zdun

  2. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, P.R.China

    Weinian Zhang

Authors
  1. Marek C. Zdun
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  2. Weinian Zhang
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Additional information

Supported by NSFC#10471101, TRAPOY[2002]383 and SRFDP#20050610003.

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Zdun, M.C., Zhang, W. A general class of iterative equations on the unit circle. Czech Math J 57, 809–829 (2007). https://doi.org/10.1007/s10587-007-0077-1

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  • DOI: https://doi.org/10.1007/s10587-007-0077-1

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