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

作　　者：Pedro Pablo Cárdenas Alzate 

机构地区：[1]Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia

出　　处：《Applied Mathematics》2015年第4期700-706,共7页应用数学（英文）

摘　　要：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.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.

关 键 词：TWO-POINT BOUNDARY VARIATIONAL Problem Stability RESTRICTION 

分 类 号：O1[理学—数学]