Electronic Journal of Differential Equations,
Vol. 1995(1995), No. 03, pp. 1-8.
Title: Positive Solutions for Higher Order Ordinary Differential Equations
Authors: Paul W. Eloe (Univ. of Dayton, Dayton, Ohio, USA)
Johnny Henderson (Auburn Univ., Auburn, Alabama, USA)
Abstract: Solutions that are positive with respect to a cone are
obtained for the boundary value problem,
$u^{(n)} + a(t)f(u) = 0$,
$u^{(i)}(0) = u^{(n-2)}(1)= 0$, $0 \leq i \leq n-2$,
in the cases that $f$ is either superlinear or sublinear. The methods
involve application of a fixed point theorem for operators on a cone.
Submitted December 4, 1994. Published March 2, 1995.
Math Subject Classification: 34B15.
Key Words: Boundary value problems; positive solutions;
superlinear and sublinear; operators on a cone.