分布环上常微分方程解的一个新的封闭形式及其与矩阵代数的联系
A new closed-form expression for the solution of ODEs in a ring of distributions and its connection with the matrix algebra
摘要：
最近引入了一个新的表达式求解齐次线性常微分方程的基础上推广的Volterra复合。在这项工作中，我们扩展了这样的表达式，表明它对应于一个无限矩阵的逆。这是通过研究一个特定的子环，并将其与一个无限矩阵的子代数相联系来完成的。
英文摘要：
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 corresponds to inverting an infinite matrix. This is done by studying a particular subring and connecting it with a subalgebra of infinite matrices.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
