paper

GBDT, multiplicative integrals and linear similarity

arXiv:2503.23915

Abstract

A GBDT version of the Bäcklund-Darboux transformation for a non-isospectral canonical system is considered. Applications to multiplicative integrals and their limit values, to characteristic matrix functions and to linear similarity problems are obtained. Some interesting examples are constructed as well.

A GBDT approach to non-isospectral canonical systems from our work arXiv:math-ph/0703072 is used in this paper

GBDT, multiplicative integrals and linear similarity · wovepaper