Positive solutions of a general discrete boundary value problem |
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Authors: | Guang Zhang Zhilin Yang |
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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 |
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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. |
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Keywords: | Reaction-diffusion Steady state distribution Positive solution Fixed point theorem |
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