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Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green’s function. (English) Zbl 1484.39013

Summary: In this paper, we discuss the existence of positive solutions to a discrete third-order three-point boundary value problem. Here, the weight function \(a(t)\) and the Green function \(G(t,s)\) both change their sign. Despite this, we also obtain several existence results of positive solutions by using the Guo-Krasnoselskii’s fixed-point theorem in a cone.

MSC:

39A27 Boundary value problems for difference equations
39A12 Discrete version of topics in analysis
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