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A Special Case of Variational Formulation for Two-Point Boundary Value Problem in L2(Ω)
Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia
- 1 Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia
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Abstract
We consider the nonlinear boundary value problems for elliptic partial differential equations and using a maximum principle for this problem we show uniqueness and continuous dependence on data. We use the strong version of the maximum principle to prove that all solutions of two-point BVP are positives and we also show a numerical example by applying finite difference method for a two-point BVP in one dimension based on discrete version of the maximum principle.
KeywordsTwo-Point BoundaryVariational ProblemStability Restriction
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