点型泛函微分方程解的数值构造方法

Q3 Engineering

Advances in Systems Science and Applications Pub Date : 2020-01-01 DOI:10.25728/ASSA.2020.20.2.878

Beklaryan Armen

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引用次数: 2

摘要

本文讨论了纵波传播的FrenkelKontorova模型行波型解的构造。首次基于行波型解的存在唯一性定理和近似定理，以有界解(水平)和无界解(垂直)的子族形式构造了一个完整的行波型解族。

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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Numerical Methods for Constructing Solutions of Functional Differential Equations of Pointwise Type

The article discusses construction of traveling wave type solutions for the FrenkelKontorova model on the propagation of longitudinal waves. For the first time, based on the existence and uniqueness theorem of traveling wave type solutions, as well as the approximation theorem, a complete family of traveling wave type solutions is constructed in the form of subfamilies of bounded solutions (horizontals) and unbounded solutions (verticals).

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来源期刊

Advances in Systems Science and Applications Engineering-Engineering (all)

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Advances in Systems Science and Applications (ASSA) is an international peer-reviewed open-source online academic journal. Its scope covers all major aspects of systems (and processes) analysis, modeling, simulation, and control, ranging from theoretical and methodological developments to a large variety of application areas. Survey articles and innovative results are also welcome. ASSA is aimed at the audience of scientists, engineers and researchers working in the framework of these problems. ASSA should be a platform on which researchers will be able to communicate and discuss both their specialized issues and interdisciplinary problems of systems analysis and its applications in science and industry, including data science, artificial intelligence, material science, manufacturing, transportation, power and energy, ecology, corporate management, public governance, finance, and many others.