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Paul W. Eloe, Department of Mathematics, University of Dayton, Dayton, Ohio 45469-2316, Paul.Eloe@notes.udayton.edu.
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.
Journal of Difference Equations and Applications, 3 (1998), 219 - 229.
ABSTRACT: Multiple positive solutions are shown to exist for the third order difference equation D3 u + f (t, u) = 0 satisfying conjugate boundary conditions when f is sublinear at one endpoint (zero or infinity) and superlinear at the other. The methods involve application of a fixed point theorem for operators on a cone.
1991 AMS (MOS) Subject Classification: 39A10.