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

Pages: 84 - 90, Issue Special, August 2005

 Abstract        Full Text (112.2K)              

John Baxley - Department of Mathematics, Wake Forest University, P.O. Box 7388, Winston-Salem, NC 27109, United States (email)
Mary E. Cunningham - Department of Mathematics, Wake Forest University, P.O. Box 7388, Winston-Salem, NC 27109, United States (email)
M. Kathryn McKinnon - Department of Mathematics, Wake Forest University, P.O. Box 7388, Winston-Salem, NC 27109, United States (email)

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.

Keywords:  boundary value problems, multiple solutions, fixed point, Krasnosel’ski¢i.
Mathematics Subject Classification:  34B15; Secondary: 47H10.

Received: October 2004;      Revised: May 2005;      Published: September 2005.