二阶变系数离散Neumann边值问题正解的存在性

华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (5): 66-72,102.

二阶变系数离散Neumann边值问题正解的存在性

路艳琼, 高承华

西北师范大学数学与信息科学学院, 甘肃兰州 730070

收稿日期:2010-12-01 修回日期:2011-03-01 出版日期:2011-09-25 发布日期:2011-11-22

Existence of positive solutions of second-order discrete Neumann boundary value problems with variable coefficients

LU Yan-qiong, GAO Cheng-hua

College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:2010-12-01 Revised:2011-03-01 Online:2011-09-25 Published:2011-11-22

摘要/Abstract

摘要： 运用不动点指数理论, 获得二阶离散Neumann边值问题存在正解的最优条件. 从而将常微方程中有关非线性Neumann边值问题的结果, 推广到离散的情况.

关键词: Neumann边值问题, 正解, 不动点指数

Abstract: By using the fixed-point index theorem, the optimal conditions of the existence of positive solutions to a class of the second-order discrete Neumann boundary value problems was obtained. It extended the previous results concerning the Neumann boundary value problems in ODE cases to that in the discrete cases.

Key words: Neumann boundary value problems, positive solutions, fixed-point index

中图分类号:

O175.7

路艳琼, 高承华. 二阶变系数离散Neumann边值问题正解的存在性[J]. 华东师范大学学报(自然科学版), 2011, 2011(5): 66-72,102.

LU Yan-qiong, GAO Cheng-hua. Existence of positive solutions of second-order discrete Neumann boundary value problems with variable coefficients[J]. Journal of East China Normal University(Natural Sc, 2011, 2011(5): 66-72,102.

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