Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The existence and uniqueness of solutions a nonlinear iterative equation in the class of r-times differentiable functions with the r-derivative satisfying a generalized Hölder condition is considered.
Rocznik
Tom
Strony
105--116
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- Institute of Mathematics, Częstochowa University of Technology Częstochowa, Poland
Bibliografia
- [1] Lupa M., A special case of generalized Hölder functions, Journal of Applied Mathematics and Computational Mechanics 2014, 13(4), 81-89.
- [2] Lupa M., On a certain property of generalized Hölder functions, Journal of Applied Mathematics and Computational Mechanics 2015, 14(4), 127-132.
- [3] Kuczma M., Functional Equations in a Single Variable, PWN, Warszawa 1968.
- [4] Matkowski J., On the uniqueness of differentiable solutions of a functional equation, Bulletin de l’Academie des Sciences, Serie des sciences math., astr. et phys. 1970, XVIII, 5, 253-255.
- [5] Matkowski J., On the existence of differentiable solutions of a functional equation, Bulletin de l’Academie des Sciences, Serie des sciences math., astr. et phys. 1971, XIX, 1, 19-21.
- [6] Kuczma M., Choczewski B., Ger R., Iterative Functional Equations, Cambridge University Press, Cambridge-New York-Port Chester-Melbourne-Sydney 1990.
- [7] Lupa M., On solutions of a functional equation in a special class of functions, Demonstratio Mathematica 1993, XXVI, 1, 137-147.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-19b66290-b026-4bbd-995c-9b2888e6d8e8