- Tytuł:
- A generalized periodic boundary value problem for the one-dimensional p-Laplacian
- Autorzy:
-
Jiang, Daqing
Wang, Junyu - Powiązania:
- https://bibliotekanauki.pl/articles/1310724.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
generalized periodic boundary value problem
p-Laplacian
upper and lower solutions
Carathéodory function
Nagumo condition - Opis:
- The generalized periodic boundary value problem -[g(u')]' = f(t,u,u'), a < t < b, with u(a) = ξu(b) + c and u'(b) = ηu'(a) is studied by using the generalized method of upper and lower solutions, where ξ,η ≥ 0, a, b, c are given real numbers, $g(s) = |s|^{p-2} s$, p > 1, and f is a Carathéodory function satisfying a Nagumo condition. The problem has a solution if and only if there exists a lower solution α and an upper solution β with α(t) ≤ β(t) for a ≤ t ≤ b.
- Źródło:
-
Annales Polonici Mathematici; 1996-1997, 65, 3; 265-270
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł