## Abstract and Applied Analysis

### Positive Solutions for the Eigenvalue Problem of Semipositone Fractional Order Differential Equation with Multipoint Boundary Conditions

Ge Dong

#### Abstract

We study the existence of positive solution for the eigenvalue problem of semipositone fractional order differential equation with multipoint boundary conditions by using known Krasnosel'skii's fixed point theorem. Some sufficient conditions that guarantee the existence of at least one positive solution for eigenvalues  $\lambda >0$ sufficiently small and $\lambda >0$ sufficiently large are established.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 925010, 9 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412279736

Digital Object Identifier
doi:10.1155/2014/925010

Mathematical Reviews number (MathSciNet)
MR3198274

#### Citation

Dong, Ge. Positive Solutions for the Eigenvalue Problem of Semipositone Fractional Order Differential Equation with Multipoint Boundary Conditions. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 925010, 9 pages. doi:10.1155/2014/925010. https://projecteuclid.org/euclid.aaa/1412279736

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