TITLE:
A Special Case of Variational Formulation for Two-Point Boundary Value Problem in L2(Ω)
AUTHORS:
Pedro Pablo Cárdenas Alzate
KEYWORDS:
Two-Point Boundary, Variational Problem, Stability Restriction
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.4,
April
27,
2015
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.