Positive Solutions for Higher Order Ordinary Differential Equations
Date
1995-03-02
Authors
Eloe, Paul W.
Henderson, Johnny
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Solutions that are positive with respect to a cone are obtained for the boundary value problem, u(n) + α(t)ƒ(u) = 0, u(i) (0) = u(n−2) (1) = 0, 0 ≤ i ≤ n − 2, in the cases that ƒ is either superlinear or sublinear. The methods involve application of a fixed point theorem for operators on a cone.
Description
Keywords
Boundary value problems, Positive solutions, Superlinear and sublinear, Operators on a cone
Citation
Eloe, P. W. & Henderson, J. (1995). Positive solutions for higher order ordinary differential equations. <i>Electronic Journal of Differential Equations, 1995</i>(03), pp. 1-8.
Rights
Attribution 4.0 International