- Tytuł:
- On strongly monotone flows
- Autorzy:
- Walter, Wolfgang
- Powiązania:
- https://bibliotekanauki.pl/articles/1294817.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
system of ordinary differential equations
initial value problem
comparison theorem
monotone flow
quasimonotonicity - Opis:
- M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.
- Źródło:
-
Annales Polonici Mathematici; 1997, 66, 1; 269-274
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł