Department of Mathematics
University of Ioannina
P. O. Box 1186, 451 10 Ioannina, Greece
email: ipurnara@cc.uoi.gr
Ioannis K. Purnaras
Abstract:
We study the existence of positive eigenvalues yielding nonnegative
solutions to an integral equation. Also we study the positivity of
solutions on specific sets. These results are obtained by using
a fixed point theorem in cones and are illustrated by application
to systems of boundary value problems.
Submitted February 27, 2009. Published April 24, 2009.
Math Subject Classifications: 34B18, 34A34.
Key Words: Nonnegative solutions;integral equation; eigenvalue;
systems of boundary value problems.
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Ioannis K. Purnaras Department of Mathematics University of Ioannina P. O. Box 1186, 451 10 Ioannina, Greece email: ipurnara@cc.uoi.gr |
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