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.

引用

页数：10

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