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Solvability of discrete Neumann boundary value problems |
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| Authors: | D.R. Anderson |
| Affiliation: | a Department of Mathematics and Computer Science, Concordia College, 901 8th Street, Moorhead, MN 56562, USA b Department of Mathematics, Palacký University, 771 46 Olomouc, Czech Republic c School of Mathematics and Statistics, The University of New South Wales, Sydney 2052, Australia |
| Abstract: | In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation and Schaefer's Theorem in the finite-dimensional space setting. |
| Keywords: | Discrete Neumann boundary value problem Existence of solutions Schaefer's Theorem Difference equation |
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