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

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