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Journal of Difference Equations and Applications Volume 17, 2011 - Issue 3
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Original Articles

Existence of eigenvalues for nonnegative solutions to a discrete equation with applications to boundary value problems

I.K. Purnaras Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10, Ioannina, GreeceCorrespondence[email protected]
Pages 401-421 | Received 24 Dec 2008, Accepted 09 Apr 2009, Published online: 12 Jan 2010
 
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Abstract

By the use of a Guo–Krasnoselskii theorem in cones, existence of positive eigenvalues yielding nonnegative/positive solutions to the discrete equation

is studied. The results are applied to boundary value problems of various types.

2000 Mathematics Subject Classification::

Acknowledgement

The author is grateful to the unknown referees for their helpful suggestions.

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