International Journal of Differential Equations

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

Li Zhang, Xiankai Huang, and Weigao Ge

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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.

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

Received: 17 May 2011
Revised: 3 September 2011
Accepted: 4 September 2011
First available in Project Euclid: 25 January 2017

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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.

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