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A Special Case of Variational Formulation for Two-Point Boundary Value Problem in L2(Ω)

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DOI: 10.4236/am.2015.64065    4,241 Downloads   4,627 Views

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.

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Cárdenas Alzate, P. (2015) A Special Case of Variational Formulation for Two-Point Boundary Value Problem in L2(Ω). Applied Mathematics, 6, 700-706. doi: 10.4236/am.2015.64065.

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