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Wan, Zhuang; Chen, Yubo; Cheng, Sui Sun

Monotone methods for a discrete boundary problem. (English) Zbl 0872.39005

Comput. Math. Appl. 32, No. 12, 41-49 (1996).
Authors’ summary: 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.
Reviewer: A.D.Mednykh (Novosibirsk)

Cited in 31 Documents

MSC:

39A10 Additive difference equations

Keywords:

nonlinear difference equations; discrete Nagumo equations; upper and lower solutions; minimal and maximal solutions; nonlinear discrete boundary value problem; monotone methods
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\textit{Z. Wan} et al., Comput. Math. Appl. 32, No. 12, 41--49 (1996; Zbl 0872.39005)
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