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Polynomials of Arithmetically Homogeneous Functions: Stability and Hyperstability

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Abstract

We give large classes of control functions that provide generalized stability, respectively hyperstability for difference equations that characterize polynomials of arithmetically homogeneous functions. We also give a new technique to study the generalized stability and hyperstability of Fréchet’s equation, technique that allows us to expand and refine some of the known results in literature.

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Authors and Affiliations

  1. Department of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei No. 2, 300006, Timisoara, Romania

    Dan M. Dăianu

  2. Department of Informatics, West University of Timişoara, Blvd. V. Parvan 4, 300223, Timisoara, Romania

    Cristina Mîndruţă

Authors
  1. Dan M. Dăianu
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  2. Cristina Mîndruţă
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Correspondence to Dan M. Dăianu.

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Dăianu, D.M., Mîndruţă, C. Polynomials of Arithmetically Homogeneous Functions: Stability and Hyperstability. Results Math 74, 59 (2019). https://doi.org/10.1007/s00025-019-0981-3

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  • DOI: https://doi.org/10.1007/s00025-019-0981-3

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