具有非局部条件的部分弗雷德霍尔积分微分方程的性质与算法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-06 DOI:10.1007/s00009-024-02712-2

Dulat S. Dzhumabaev, Anuar D. Dzhumabaev, Anar T. Assanova

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引用次数: 0

摘要

本文研究的是一个双曲型偏弗雷德霍姆积分微分方程（IDE）的非局部问题。该问题被简化为一个包含普通弗雷德霍姆积分微分方程边界值问题族和一些积分关系的问题。引入了普通弗雷德霍姆 IDE 族一般解的新概念，并讨论了其性质。获得了双曲型偏弗雷德霍姆积分微分方程（IDE）非局部问题良好求解的必要条件和充分条件，并提供了求解算法。

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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Properties of a Partial Fredholm Integro-differential Equations with Nonlocal Condition and Algorithms

The paper is concerned with a nonlocal problem for a partial Fredholm integro-differential equation (IDE) of hyperbolic type is investigated. This problem is reduced to a problem containing a family of boundary value problems for the ordinary Fredholm IDEs and some integral relationships. A novel concept of general solution to a family of the ordinary Fredholm IDEs is introduced, and its properties are discussed. A necessary and sufficient condition for the well-posedness of the nonlocal problem for the partial Fredholm integro-differential equation (IDE) of hyperbolic type is obtained, and an algorithm for finding its solution is offered.

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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.