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**Positive solutions for Sturm-Liouville boundary value problems in a Banach space.**
*(English)*
Zbl 1251.34076

Summary: We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. A sufficient condition for the existence of a positive solution is obtained by a fixed point theorem.

### MSC:

34G10 | Linear differential equations in abstract spaces |

34B24 | Sturm-Liouville theory |

34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |

### Keywords:

fixed point theorem
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\textit{H. Su} et al., Abstr. Appl. Anal. 2012, Article ID 572172, 11 p. (2012; Zbl 1251.34076)

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### References:

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