Abstract
We study the existence of positive solutions of the equations [formula omitted] with either y(0)=y(1)=y”(0)=y”(1)=0 or y(0)=y'(1)=y”(0)=y”(1)=0. We show the existence of at least one positive solution if f is either superlinear or sublinear by a simple application of a Fixed Point Theorem in cones.
Original language | English (US) |
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Pages (from-to) | 225-231 |
Number of pages | 7 |
Journal | Applicable Analysis |
Volume | 59 |
Issue number | 1-4 |
DOIs | |
State | Published - Jan 1 1995 |
Keywords
- existence
- fourth-order ordinary differential equation
- positive solution
ASJC Scopus subject areas
- Analysis
- Applied Mathematics