## International Journal of Differential Equations

### Positive Solutions of Sturm-Liouville Boundary Value Problems in Presence of Upper and Lower Solutions

#### Abstract

We consider a kind of Sturm-Liouville boundary value problems. Using variational techniques combined with the methods of upper-lower solutions, the existence of at least one positive solution is established. Moreover, the upper solution and the lower solution are presented.

#### Article information

Source
Int. J. Differ. Equ., Volume 2011 (2011), Article ID 383294, 11 pages.

Dates
Revised: 3 September 2011
Accepted: 4 September 2011
First available in Project Euclid: 25 January 2017

https://projecteuclid.org/euclid.ijde/1485313247

Digital Object Identifier
doi:10.1155/2011/383294

Mathematical Reviews number (MathSciNet)
MR2847596

Zentralblatt MATH identifier
1238.34048

#### Citation

Zhang, Li; Huang, Xiankai; Ge, Weigao. Positive Solutions of Sturm-Liouville Boundary Value Problems in Presence of Upper and Lower Solutions. Int. J. Differ. Equ. 2011 (2011), Article ID 383294, 11 pages. doi:10.1155/2011/383294. https://projecteuclid.org/euclid.ijde/1485313247

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