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Positive solutions of a general discrete boundary value problem
Authors:Guang Zhang  Zhilin Yang
Affiliation:a School of Science, Tianjin University of Commerce, Tianjin 300134, PR China
b Department of Mathematics, Qingdao Technological University, No. 11, FuShun Road, Qingdao 266033, PR China
Abstract:In this paper, the existence of positive solutions for a nonlinear general discrete boundary value problem is established. Such results extend and improve some known facts for the two-point and three-point boundary value problems. Particularly, the boundary value conditions can be nonlinear and the method is new. For explaining the main results, some numerical examples are also given.
Keywords:Reaction-diffusion   Steady state distribution   Positive solution   Fixed point theorem
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