- Tytuł:
- Concavity of solutions of a 2n-th order problem with symmetry
- Autorzy:
-
Twaty, A. A.
Eloe, P. W. - Powiązania:
- https://bibliotekanauki.pl/articles/255093.pdf
- Data publikacji:
- 2013
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
fixed-point theorems
concave and convex functionals
differential inequalities
symmetry - Opis:
- In this article we apply an extension of a Leggett-Williams type fixed point theorem to a two-point boundary value problem for a 2n-th order ordinary differential equation. The fixed point theorem employs concave and convex functionals defined on a cone in a Banach space. Inequalities that extend the notion of concavity to 2n-th order differential inequalities are derived and employed to provide the necessary estimates. Symmetry is employed in the construction of the appropriate Banach space.
- Źródło:
-
Opuscula Mathematica; 2013, 33, 4; 603-613
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł