Department of Mathematics
University of Ioannina,
451 10 Ioannina, Greece
email: gkarako@cc.uoi.gr
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
email: ptsamato@cc.uoi.gr
G. L. Karakostas & P. Ch. Tsamatos
Abstract:
The existence of positive solutions of a nonlocal boundary value problem
for a second order differential equation is investigated. By assuming
that the response function is quiet at zero, in a sense introduced here,
and it satisfies some easy conditions, existence results for a countable
set of positive solutions are given.
Submitted January 23, 2001. Published February 19, 2001.
Math Subject Classifications: 34B18.
Key Words: Multiple positive solutions, nonlocal boundary value problems,
functions quiet at zero, Krasnoselskii's fixed point theorem.
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G. L. Karakostas Department of Mathematics University of Ioannina, 451 10 Ioannina, Greece email: gkarako@cc.uoi.gr |
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P. Ch. Tsamatos Department of Mathematics University of Ioannina 451 10 Ioannina, Greece email: ptsamato@cc.uoi.gr |
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