四阶非线性边值问题可解性的研究

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.