Geodesic
Some remarks on comparison functions
Antoni Augustynowicz1
1 Institute of Mathematics University of Gda/nsk Wita Stwosza 57 80-952 Gda/nsk, Poland
Annales Polonici Mathematici, Tome 96 (2009) no. 2, pp. 97-106

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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.
DOI : 10.4064/ap96-2-1
Keywords: answer questions concerning perron kamke comparison functions satisfying carath odory condition particular perron function multiplied constant may perron function every comparison function bounded comparison function separated variables moreover investigate sum perron functions perron function present criterion comparison functions separated variables

Antoni Augustynowicz 1

1 Institute of Mathematics University of Gda/nsk Wita Stwosza 57 80-952 Gda/nsk, Poland 
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Antoni Augustynowicz. Some remarks on comparison functions. Annales Polonici Mathematici, Tome 96 (2009) no. 2, pp. 97-106. doi: 10.4064/ap96-2-1

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