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arXiv 1901.00792math.NAcs.NAmath.DSmath.SP
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三角系数情形下有界解问题的Green函数估计

An estimate of Green's function of the problem of bounded solutions in the case of a triangular coefficient

V. G. Kurbatov, I. V. Kurbatova

AI总结:

本文针对矩阵系数为三角矩阵的常微分方程有界解问题,提出了Green函数的估计,该估计推广了Ch. F. Van Loan证明的矩阵指数估计。

摘要:

本文提出了常微分方程$x'(t)-Bx(t)=f(t)$有界解问题的Green函数估计。假设矩阵系数$B$为三角矩阵。该估计是Ch. F. Van Loan所证明的矩阵指数估计的推广。

英文摘要:

An estimate of Green's function of the bounded solutions problem for the ordinary differential equation $x'(t)-Bx(t)=f(t)$ is proposed. It is assumed that the matrix coefficient $B$ is triangular. This estimate is a generalization of the estimate of the matrix exponential proved by Ch. F. Van Loan.

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。

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