- Tytuł:
- Positive solutions to nonlinear singular second order boundary value problems
- Autorzy:
- Bonanno, Gabriele
- Powiązania:
- https://bibliotekanauki.pl/articles/1310938.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
singular boundary value problem
positive solution - Opis:
- Existence theorems of positive solutions to a class of singular second order boundary value problems of the form y'' + f(x,y,y') = 0, 0 < x < 1, are established. It is not required that the function (x,y,z) → f(x,y,z) be nonincreasing in y and/or z, as is generally assumed. However, when (x,y,z) → f(x,y,z) is nonincreasing in y and z, some of O'Regan's results [J. Differential Equations 84 (1990), 228-251] are improved. The proofs of the main theorems are based on a fixed point theorem for weakly sequentially continuous operators.
- Źródło:
-
Annales Polonici Mathematici; 1996, 64, 3; 237-251
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł