- Tytuł:
- On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions
- Autorzy:
-
Gao, Wenjie
Wang, Junyu - Powiązania:
- https://bibliotekanauki.pl/articles/1311418.pdf
- Data publikacji:
- 1995
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
two-point boundary value problems
upper and lower solutions
Nagumo condition
existence
Carathéodory functions - Opis:
- The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].
- Źródło:
-
Annales Polonici Mathematici; 1995, 62, 3; 283-291
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł