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Positive solutions for discrete boundary value problems to one-dimensional \(p\)-Laplacian with delay. (English) Zbl 1271.39006

Summary: We study the existence of positive solutions for discrete boundary value problems to one-dimensional \(p\)-Laplacian with delay. The proof is based on the Guo-Krasnoselskii fixed-point theorem in cones. Two numerical examples are also provided to illustrate the theoretical results.

MSC:

39A14 Partial difference equations
35B09 Positive solutions to PDEs
35J92 Quasilinear elliptic equations with \(p\)-Laplacian
47H10 Fixed-point theorems
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