Monotone methods for solving a boundary value problem of second order discrete system

Yuan-Ming Wang and Ravi P. Agarwal

Mathematical Problems in Engineering, 1999, vol. 5, 1-25

Abstract:

A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical results are given.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:153297

DOI: 10.1155/S1024123X99001106

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