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Berger, H. (2008) Existence of Nontrivial Solutions of a Two-Point Boundary Value Problem for a 2nth-Order Nonlinear Difference Equation. Advances in Dynamical Systems and Applications, 3, 131-146.

被以下文章引用:

• 标题: 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

  作者: 曾云霞

  关键字: 正解, Green函数, 不动点理论, 半正问题Positive Solution, Green Function, Fixed Point Theorem, Semipositone Problem

  期刊名称: 《Advances in Applied Mathematics》, Vol.5 No.2, 2016-05-13

  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。 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.