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Solutions of linear iterative functional equations behaving like the forcing term in the equation

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Summary.

We are dealing with those continuous solutions \( \varphi \) of the functional equation¶¶\( \varphi\circ f=g\cdot \varphi+h \)¶that are asymptotically comparable at the origin (the fixed point of f) with the function h. Connections with a linear iterative functional inequality of second order are also mentioned.

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Authors and Affiliations

  1. Institute of Mathematics, Pedagogical University, Podchorążych 2, PL—30-084 Kraków, Poland, and Faculty of Applied Mathematics, University of Mining and Metallurgy, al. Mickiewicza 30, PL—30-059 Kraków, Poland, , , , , , PL

    B. Choczewski

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  1. B. Choczewski
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Received: January 23, 1999; revised version: October 22, 1999.

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Choczewski, B. Solutions of linear iterative functional equations behaving like the forcing term in the equation. Aequ. math. 60, 308–314 (2000). https://doi.org/10.1007/s000100050157

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  • DOI: https://doi.org/10.1007/s000100050157

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