Higher order boundary value problems with multiple solutions: examples and techniques

John Baxley; Mary E. Cunningham; M. Kathryn McKinnon

doi:10.3934/proc.2005.2005.84

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2005, Volume 2005: 84-90. Doi: 10.3934/proc.2005.2005.84 open access

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Higher order boundary value problems with multiple solutions: examples and techniques

1.
Department of Mathematics, Wake Forest University, P.O. Box 7388, Winston-Salem, NC 27109

Received: September 30, 2004

Revised: April 30, 2005

Published: August 2005

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Abstract

Conditions are derived on the nonlinear function f(y) so that two boundary value problems associated with the fifth order differential equation y(5) = f(y) has one or more positive solutions. These examples are not included in any previous results.

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Mathematics Subject Classification: 34B15; Secondary: 47H10.

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