Abstract
We consider the following iterative equation
where a0,…, a k are given real numbers and ƒ is an unknown function. Assuming some conditions on the coefficients a0,…, a k we prove that this equation has exactly one solution and that the solution depends continuously on the coefficients.
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Dedicated with affection to Professor János Aczél on the occasion of his seventieth birthday
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Tabor, J., Tabor, J. On a linear iterative equation. Results. Math. 27, 412–421 (1995). https://doi.org/10.1007/BF03322847
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DOI: https://doi.org/10.1007/BF03322847