Opuscula Math. 28, no. 4 (2008), 441-452
Opuscula Mathematica
Asymptotic properties of solutions of some iterative functional inequalities
Dobiesław Brydak
Bogdan Choczewski
Marek Czerni
Abstract. Continuous solutions of iterative linear inequalities of the first and second order are considered, belonging to a class \(\mathcal{F}_T\) of functions behaving at the origin as a prescribed function \(T\).
Keywords: functional inequalities, continuous solutions, test function, asymptotic behavior.
Mathematics Subject Classification: 39C05.
- Dobiesław Brydak
- Pedagogical University of Cracow, Department of Mathematics, ul. Podchorążych 2, 30-084 Kraków, Poland
- Bogdan Choczewski
- AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland
- Marek Czerni
- Pedagogical University of Cracow, Department of Mathematics, ul. Podchorążych 2, 30-084 Kraków, Poland
- Received: 2008-03-18.
- Accepted: 2008-05-04.