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.
正解,Green函数,不动点理论,半正问题, Positive Solution Green Function Fixed Point Theorem Semipositone Problem离散半正边值问题正解的存在性及多解性
曾云霞. 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[J]. 应用数学进展, 2016, 05(02): 232-241. http://dx.doi.org/10.12677/AAM.2016.52030
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