Some remarks on comparison functions

• Autorzy: Antoni Augustynowicz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34A40: Differential inequalities
• 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 96
• Numer: 2
• Strony: 97-106

Daty

wydano

2009

Twórcy

autor

Antoni Augustynowicz

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap96-2-1