- Tytuł:
- Multiple positive solutions of a nonlinear fourth order periodic boundary value problem
- Autorzy:
-
Kong, Lingbin
Jiang, Daqing - Powiązania:
- https://bibliotekanauki.pl/articles/1294291.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
nonlinear periodic boundary value problem
multiple positive solutions
cone
fixed point index - Opis:
- The fourth order periodic boundary value problem $u^{(4)} - m⁴u + F(t,u) = 0$, 0 < t < 2π, with $u^{(i)}(0) = u^{(i)}(2π)$, i = 0,1,2,3, is studied by using the fixed point index of mappings in cones, where F is a nonnegative continuous function and 0 < m < 1. Under suitable conditions on F, it is proved that the problem has at least two positive solutions if m ∈ (0,M), where M is the smallest positive root of the equation tan mπ = -tanh mπ, which takes the value 0.7528094 with an error of $±10^{-7}$.
- Źródło:
-
Annales Polonici Mathematici; 1998, 69, 3; 265-270
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł