On the existence of positive solutions of fourth-order ordinary differential equations

Abstract

We study the existence of positive rolutioru of the equations with either . We show the existence of at least one positive solution iff is either superlinear or sublinear by a simple application of a Fixed Point Theorem in cones.

Keywords:

• fourth-order ordinary differential equation
• existence
• positive solution

^*Department of Mathematics, Northwest N o d University, Lanzhou, Gansu 730070, China

^**Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA.

^*Department of Mathematics, Northwest N o d University, Lanzhou, Gansu 730070, China

^**Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA.

Notes

^*Department of Mathematics, Northwest N o d University, Lanzhou, Gansu 730070, China

^**Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA.