具P-Laplace算子Sturm-Liouville型边值问题多个正解的存在性
Multiple Positive Solutions of Discrete Sturm-Liouville-Like P-Laplacian Boundary Value Problems
DOI: 10.12677/AAM.2019.84089, PDF,    科研立项经费支持
作者: 张 萌, 姜洪冰：济南大学泉城学院大学数学教学部，山东 蓬莱
关键词: Sturm-Liouville型边值问题；Leggett-Williams不动点定理；正解；Sturm-Liouville-Like Boundary Value Problem； Leggett-Williams Fixed Point Theorem； Positive Solution
摘要: 利用Leggett-Williams不动点定理研究一类离散具p-Laplace算子Sturm-Liouville型边值问题，给出问题至少存在三个正解的几个充分条件。
Abstract: By using the Leggett-Williams fixed point theorem, a class of discrete Sturm-Liouville-like p-Laplacian boundary value problem is studied and some sufficient conditions for the existence of at least three positive solutions for the boundary value problem are obtained.
文章引用：张萌, 姜洪冰. 具P-Laplace算子Sturm-Liouville型边值问题多个正解的存在性[J]. 应用数学进展, 2019, 8(4): 790-797. https://doi.org/10.12677/AAM.2019.84089

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