On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations

Alexander Sakhnovich

doi:10.1016/j.jde.2022.02.032

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arXiv · 2104.07612

On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations

Alexander Sakhnovich

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Abstract

We consider canonical systems (with $2p\times 2p$ Hamiltonians $H(x)\geq 0$), which correspond to matrix string equations. Direct and inverse problems are solved in terms of Titchmarsh--Weyl and spectral matrix functions and related $S$-nodes. Procedures for solving inverse problems are given.

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BibTeX RIS

Alexander Sakhnovich. 2021-04-15. On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations. https://doi.org/10.1016/j.jde.2022.02.032

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