Electron. J. Diff. Eqns., Vol. 2002(2002), No. 30, pp. 1-17.

Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems

G. L. Karakostas & P. Ch. Tsamatos

By applying the Krasnoselskii's fixed point theorem on a suitable cone, several existence results for multiple positive solutions of a Fredholm integral equation are provided. Applications of these results to some nonlocal boundary-value problems are also given.

Submitted January 22, 2002. Published March 21, 2002.
Math Subject Classifications: 45M20, 34B18.
Key Words: Integral equations, multiple solutions, nonlocal boundary-value problems.

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G. L. Karakostas
Department of Mathematics
University of Ioannina,
451 10 Ioannina, Greece
email: gkarako@cc.uoi.gr
P. Ch. Tsamatos
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
email: ptsamato@cc.uoi.gr

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