## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2012, Special Issue (2012), Article ID 653675, 17 pages.

### Existence of $\mathrm{2}m-\mathrm{1}$ Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line

#### Abstract

By using the Leggett-Williams fixed theorem, we establish the existence of multiple positive solutions for second-order nonhomogeneous Sturm-Liouville boundary value problems with linear functional boundary conditions. One explicit example with singularity is presented to demonstrate the application of our main results.

#### Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 653675, 17 pages.

Dates
First available in Project Euclid: 3 January 2013

https://projecteuclid.org/euclid.jam/1357180275

Digital Object Identifier
doi:10.1155/2012/653675

Mathematical Reviews number (MathSciNet)
MR2948140

#### Citation

Sun, Yanmei; Zhao, Zengqin. Existence of $\mathrm{2}m-\mathrm{1}$ Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line. J. Appl. Math. 2012, Special Issue (2012), Article ID 653675, 17 pages. doi:10.1155/2012/653675. https://projecteuclid.org/euclid.jam/1357180275

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