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数学与物理
应用数学进展
Vol. 5 No. 2 (May 2016)
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离散半正边值问题正解的存在性及多解性
Existence and Multiplicity of Semipositone Discrete Boundary Value Problems
DOI:
10.12677/AAM.2016.52030
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被引量
下载: 2,059
浏览: 3,991
作者:
曾云霞
:广州大学数学与信息科学学院,广东 广州
关键词:
正解
;
Green函数
;
不动点理论
;
半正问题
;
Positive Solution
;
Green Function
;
Fixed Point Theorem
;
Semipositone Problem
摘要:
应用Guo-Krasnosel’skii不动点理论,在非线性项为变号函数的情形下,讨论离散Dirichlet问题,建立正解的存在性及多解性结果。
Abstract:
By using the Guo-Krasnosel’skii fixed point theorem, a Dirichlet boundary value problem with sign-changing nonlinearity is discussed and some results of existence and multiplicity of positive solutions are established.
文章引用:
曾云霞. 离散半正边值问题正解的存在性及多解性[J]. 应用数学进展, 2016, 5(2): 232-241.
http://dx.doi.org/10.12677/AAM.2016.52030
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