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
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。