- Tytuł:
- On Nonlinear Differential Equations in Generalized Musielak-Orlicz Spaces
- Autorzy:
- Kozlowski, W.M.
- Powiązania:
- https://bibliotekanauki.pl/articles/744903.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
- ordinary differential equation, nonlinear equation, Cauchy problem, initial value problem, fixed point, nonexpansive mapping, modular function space, Orlicz space, Musielak-Orlicz space, convex modular
- Opis:
- We consider ordinary differential equations \(u'(t)+(I-T)u(t)=0\), where an unknown function takes its values in a given modular function space being a generalization of Musielak-Orlicz spaces, and \(T\) is nonlinear mapping which is nonexpansive in the modular sense. We demonstrate that under certain natural assumptions the Cauchy problem related to this equation can be solved. We also show a process for the construction of such a solution. This result is then linked to the recent results of the fixed point theory in modular function spaces.
- Źródło:
-
Commentationes Mathematicae; 2013, 53, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł