Some remarks on comparison functions

Antoni Augustynowicz. "Some remarks on comparison functions." Annales Polonici Mathematici 96.2 (2009): 97-106. <http://eudml.org/doc/280229>.

@article{AntoniAugustynowicz2009,
abstract = {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.},
author = {Antoni Augustynowicz},
journal = {Annales Polonici Mathematici},
keywords = {Perron comparison function; Kamke comparison function},
language = {eng},
number = {2},
pages = {97-106},
title = {Some remarks on comparison functions},
url = {http://eudml.org/doc/280229},
volume = {96},
year = {2009},
}

TY - JOUR
AU - Antoni Augustynowicz
TI - Some remarks on comparison functions
JO - Annales Polonici Mathematici
PY - 2009
VL - 96
IS - 2
SP - 97
EP - 106
AB - 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.
LA - eng
KW - Perron comparison function; Kamke comparison function
UR - http://eudml.org/doc/280229
ER -