在分布环中求解 ODE 的新闭式表达式及其与矩阵代数的联系

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-02-11 DOI:10.1080/03081087.2024.2303058

S. Pozza

引用次数: 0

摘要

最近推出了一种基于 Volterra 成分广义化的求解同质线性 ODE 的新表达式。在这项工作中，我们对这种表达式进行了扩展，证明它与...

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A new closed-form expression for the solution of ODEs in a ring of distributions and its connection with the matrix algebra

A new expression for solving homogeneous linear ODEs based on a generalization of the Volterra composition was recently introduced. In this work, we extend such an expression, showing that it corre...

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.