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

Abstract

An estimate of Green's function of the bounded solutions problem for the ordinary differential equation $x^{\prime }(t)-Bx(t)=f(t)$ 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.

arXiv comment10 pages

References in corpus (1)

• Analytic functional calculus for two operators