Browsing by Subject "concave and convex functionals"
Now showing 1 - 1 of 1
- Results Per Page
- Sort Options
Item type:Article, Access status: Open Access , Concavity of solutions of a 2n-th order problem with symmetry(2013) Al Twaty, Abdulmalik; Eloe, Paul W.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.