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Monotone methods for a discrete boundary problem |
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| Authors: | Wan Zhuang Yubo Chen Sui Sun Cheng |
| Affiliation: | Department of Mathematics, Shandong Normal University, Jinan, Shandong 250014, P.R. China Department of Mathematics, Tsinghua University, Hsinchu, Taiwan 30043, R.O.C. |
| Abstract: | This paper is motivated by recent interests in space discrete Nagumo equations and is concerned with the existence of solutions of a nonlinear discrete boundary value problem. Monotone methods are used to derive the existence theorems. These methods, as is well known, provide constructive schemes for calculating the solutions. |
| Keywords: | Nonlinear difference equations Boundary value problems Upper and lower solutions Minimal and maximal solutions |
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