Multiple rositive solutions for a three-point boundary value problem

Authors:
D. Anderson
Affiliations:
Department of Mathematics and Computer Science, Concordia College Moorhead, MN 56562, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1998

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Abstract

We will find conditions on f that lead to the existence of at least three positive solutions to the three-point boundary value problem -x@?(t) + f (x(t)) = 0, with x(0) = x'(t"2) = x''(1) = 0, on [0,1], where t"2 @e [12,1). A positive solution will mean a solution in the cone of nonnegative functions in the Banach space C[0,1] with the sup norm.