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|Title:||Monotone methods for higher-order partial difference equations||Authors:||Sheng, Q.
Upper and lower solutions
|Issue Date:||Aug-1994||Citation:||Sheng, Q.,Agarwal, R.P. (1994-08). Monotone methods for higher-order partial difference equations. Computers and Mathematics with Applications 28 (1-3) : 291-307. ScholarBank@NUS Repository.||Abstract:||A nonlinear difference equation of the order n+m in two independent variables, Δn xΔm yu(x, y, 〈 u 〉), together with appropriate initial and periodic boundary conditions, is considered. Several comparison results for these problems are established. These results are then used to provide sufficient conditions for the convergence of monotone iterative methods. Numerical illustrations dwelling upon the importance of our results are also included. © 1994.||Source Title:||Computers and Mathematics with Applications||URI:||http://scholarbank.nus.edu.sg/handle/10635/103570||ISSN:||08981221|
|Appears in Collections:||Staff Publications|
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