Remarks on positive solutions of some three point boundary value problems

J. R. L. Webb

doi:10.3934/proc.2003.2003.905

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2003, Volume 2003: 905-915. Doi: 10.3934/proc.2003.2003.905 open access

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Remarks on positive solutions of some three point boundary value problems

J. R. L. Webb^1,

1.
Department of Mathematics, University of Glasgow, Glasgow G12 8QW

Received: May 31, 2002

Published: March 2003

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Abstract

We investigate constants that appear in the study of positive solutions of some nonlocal boundary value problems with a view to obtaining optimal values. We succeed for each of two problems and see that the 'natural' choice is not optimal.

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Mathematics Subject Classification: Primary 34B18, secondary 47H30, 47H10.

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