Existence of solutions for a nonlinear simply supported beam equation

被引：2
|
作者：
Saavedra, Lorena [1 ]
机构：
[1] Univ Santiago de Compostela, Fac Matemt, Inst Matemat, Santiago De Compostela, Spain
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 17期
关键词：
fixed point theory; Green's function; nonlinear boundary value problem; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1002/mma.4806
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devotedto prove the existence of one or multiple solutions for a family of nonlinear fourth-order boundary value problems. We use several fixed point theorems, previously developed by the author and her coauthor, to prove the existence of solutions of some simply supported beam problems. To finish the work, a particular case is studied, and the existence of multiple solutions is proved for 2 different particular nonlinear functions.
引用
收藏
页码：7227 / 7235
页数：9
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