On a linear iterative equation |
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| Authors: | Jacek Tabor Józef Tabor |
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| Affiliation: | 1. klomiana 20/31, 30-316, Krakow, Poland
2. Institute of Mathematics, Pedagogical University, Podchorcazych 2, 30-084, Kraków, Poland
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| Abstract: | We consider the following iterative equation $$ sum_{i=0}^{k}a_{i}f^{i}(x)=0, $$ where a0,…, a k are given real numbers and ? 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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