On convergence of iterates of the Frobenius-Perron operator for expanding mappings
Marian Jabłoński (1988)
Annales Polonici Mathematici
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Marian Jabłoński (1988)
Annales Polonici Mathematici
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We answer some questions concerning Perron and Kamke comparison functions satisfying the Carathéodory condition. In particular, we show that a Perron function multiplied by a constant may not be a Perron function, and that not every comparison function is bounded by a comparison function with separated variables. Moreover, we investigate when a sum of Perron functions is a Perron function. We also present a criterion for comparison functions with separated variables.
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