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Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations

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Authors
Wu, J.
Zhang, Xinguang
Date
2012
Type
Journal Article

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Wu, J. and Zhang, X. 2012. Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations. Abstract and Applied Analysis. 2012.
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Abstract and Applied Analysis
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Abstract

We study the eigenvalue interval for the existence of positive solutions to a semipositone higher order fractional differential equation = = ??where ,??, , , satisfying , is the standard Riemann-Liouville derivative, , and is allowed to be changing-sign. By using reducing order method, the eigenvalue interval of existence for positive solutions is obtained.