Existence of solutions for fourth-order nonlinear boundary value problems

被引：0
|
作者：
Huang, Mingzhu [1 ]
机构：
[1] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411701, Hunan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Boundary value problem; Quasilinearization method; Upper solution and lower solution; Extreme solution;
D O I：
10.1186/s13662-021-03354-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the existence and approximation of solutions for a fourth- order nonlinear boundary value problem by using a quasilinearization technique. In the presence of a lower solution a and an upper solution beta in the reverse order alpha >= beta, we show the existence of (extreme) solution.
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页数：10
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