四阶非线性边值问题可解性的研究

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-14 DOI:10.1515/ijnsns-2021-0052

Haide Gou

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引用次数: 0

摘要

摘要本文的目的是证明四阶边值问题的可解性。首先，我们为相应的线性方程建立了一个极大值原理，利用这个极大值原理发展了一种在存在上下解的情况下求解非线性方程的单调迭代技术，其次，得到了该问题的存在唯一性结果。此外，还举例说明了我们的主要结果的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A study on solvability of the fourth-order nonlinear boundary value problems

Abstract The purpose of the paper is devoted to proving the solvability of the fourth order boundary value problem. Firstly, we build a maximum principle for the corresponding linear equation, by the use of this maximum principle, we develop a monotone iterative technique in the presence of lower and upper solutions to solve the nonlinear equation, secondly, the existence and uniqueness results for the problem is obtained. In addition, an example is presented to show the application of our main results.

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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.