Electronic Journal of Differential Equations
Solutions that are positive with respect to a cone are obtained for the boundary value problem, u(n) + a(t)f(u) = 0, u(i)(0) = u(n−2)(1) = 0, 0 _ i _ n − 2, in the cases that f is either superlinear or sublinear. The methods involve application of a _xed point theorem for operators on a cone.
No. 03, approx. 8 pp.
Eloe, Paul W. and Henderson, Johnny, "Positive solutions for higher order ordinary differential equations" (1995). Mathematics Faculty Publications. 98.