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Singular second order boundary value problems on purely discrete time scales
Authors:Curtis J Kunkel
Institution:1. Department of Mathematics and Statistics , University of Tennessee at Martin , Martin, TN, 38238, USA ckunkel@utm.edu
Abstract:We study singular discrete second order boundary value problems with mixed boundary conditions over a finite interval. We prove the existence of a positive solution by means of the lower and upper solutions method and the Brouwer fixed point theorem in conjunction with perturbation methods to approximate regular problems.
Keywords:singular discrete boundary value problem  mixed conditions  lower and upper solutions  Brouwer fixed point theorem  approximate regular problems
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