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A NOTE ON THE SOLUTION TO NEUMANN BOUNDARY VALUE PROBLEM OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION
引用本文:Feng Chun (Institute of Math.and Applied Math.,Chongqing Jiaotong University,Chongqing 400074). A NOTE ON THE SOLUTION TO NEUMANN BOUNDARY VALUE PROBLEM OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION[J]. Annals of Differential Equations, 2006, 22(1): 27-32
作者姓名:Feng Chun (Institute of Math.and Applied Math.  Chongqing Jiaotong University  Chongqing 400074)
作者单位:Institute of Math.and Applied Math.,Chongqing Jiaotong University,Chongqing 400074
摘    要:The author of this paper, by means of the semi-rank theory, establish a new comparative theorem and give the existence of maximal and minimal solutions to Neumann boundary value problems of second order nonlinear differential equation in ordered Banach spaces when the upper and lower solutions in the reversed order of the problem are given.

关 键 词:Banach空间  Neumann边界条件  非线性微分方程  存在性

A NOTE ON THE SOLUTION TO NEUMANN BOUNDARY VALUE PROBLEM OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION
Feng Chun. A NOTE ON THE SOLUTION TO NEUMANN BOUNDARY VALUE PROBLEM OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION[J]. 微分方程年刊(英文版), 2006, 22(1): 27-32
Authors:Feng Chun
Affiliation:Institute of Math. and Applied Math., Chongqing Jiaotong University, Chongqing 400074
Abstract:The author of this paper, by means of the semi-rank theory, establish a new comparative theorem and give the existence of maximal and minimal solutions to Neumann boundary value problems of second order nonlinear differential equation in ordered Banach spaces when the upper and lower solutions in the reversed order of the problem are given.
Keywords:Banach space   Neumann boundary problem   upper and lower solutions in reversed order
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