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Characteristic analysis for a polynomial-like iterative equation

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Chinese Science Bulletin

Abstract

In the light of Euler’s idea for differential equations, a polynomial-liken-order iterative equation is discussed through analyzing its characteristic polynomial. An unproved result is verified rigorously for the first time. Then some conclusions on how the solutions are ruled by those characteristic roots follow.

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Authors and Affiliations

  1. Department of Mathematics, Technical University, 43-300, Bielsko-Biala, Poland

    Janusz Matkowski

  2. Department of Mathematics, Sichuan Union University, 610064, Chengdu, China

    Weinian Zhang

Authors
  1. Janusz Matkowski
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  2. Weinian Zhang
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Matkowski, J., Zhang, W. Characteristic analysis for a polynomial-like iterative equation. Chin.Sci.Bull. 43, 192–196 (1998). https://doi.org/10.1007/BF02898908

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  • DOI: https://doi.org/10.1007/BF02898908

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