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Existence of solutions for fourth-order nonlinear boundary value problems
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2021-04-07 , DOI: 10.1186/s13662-021-03354-4 Mingzhu Huang
中文翻译:
四阶非线性边值问题解的存在性
更新日期:2021-04-08
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2021-04-07 , DOI: 10.1186/s13662-021-03354-4 Mingzhu Huang
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 α and an upper solution β in the reverse order \(\alpha \geq \beta \), we show the existence of (extreme) solution.
中文翻译:
四阶非线性边值问题解的存在性
在本文中,我们使用拟线性化技术讨论了四阶非线性边值问题的解的存在性和逼近性。在存在逆解\(\ alpha \ geq \ beta \)的较低解α和较高解β的情况下,我们证明了(极限)解的存在。