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Johnny Henderson, Department of Mathematics, Baylor University, Waco, Texas 76798-7328, Johnny_Henderson@baylor.edu.
Eric R. Kaufmann, Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, Arkansas 72204-1099, erkaufmann@ualr.edu.
Communication in Applied Analysis, 1 (1997), 53-60.
ABSTRACT: Multiple positive solutions are shown to exist for the nth order differential equation u (n) + f (t, u) = 0 satisfying focal boundary conditions when f is sublinear at one endpoint (zero or infinity) and superlinear at the other. The technique involves an application of a fixed point theorem for operators on cone in a Banach space.
1991 AMS (MOS) Subject Classification: 34B15.