Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841221 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 11 Pages |
Abstract
This work concerns the eigenvalue problem for a monotone and homogeneous self-mapping f of a finite-dimensional positive cone. A communication criterion is formulated such that it is equivalent to the projective boundedness of the upper eigenspaces associated with f, a property that yields the existence of a nonlinear eigenvalue. Using the idea of dual function, a similar result is obtained for lower eigenspaces.
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Authors
Rolando Cavazos-Cadena,