Three positive solutions to a discrete focal boundary value problem |
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| Institution: | 1. Department of Mathematics and Computer Science, Concordia College Moorhead, MN 56562, USA;2. Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USA |
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| Abstract: | We are concerned with the discrete focal boundary value problem Δ3x(t ? k) = f(x(t)), x(a) = Δx(t2) = Δ2x(b + 1) = 0. Under various assumptions on f and the integers a, t2, and b we prove the existence of three positive solutions of this boundary value problem. To prove our results we use fixed point theorems concerning cones in a Banach space. |
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