Abstract:
First-order ODE systems on a finite interval with nonsingular diagonal matrix B multiplying the derivative
and integrable off-diagonal potential matrix Q are considered. It is proved that the matrix Q is uniquely determined by the monodromy matrix W(λ). In the case B=B∗, the minimum number of matrix
entries of W(λ) sufficient to uniquely determine Q is found.
Citation:
M. M. Malamud, “Unique Determination of a System by a Part of the Monodromy Matrix”, Funktsional. Anal. i Prilozhen., 49:4 (2015), 33–49; Funct. Anal. Appl., 49:4 (2015), 264–278
\Bibitem{Mal15}
\by M.~M.~Malamud
\paper Unique Determination of a System by a Part of the Monodromy Matrix
\jour Funktsional. Anal. i Prilozhen.
\yr 2015
\vol 49
\issue 4
\pages 33--49
\mathnet{http://mi.mathnet.ru/faa3191}
\crossref{https://doi.org/10.4213/faa3191}
\elib{https://elibrary.ru/item.asp?id=24849980}
\transl
\jour Funct. Anal. Appl.
\yr 2015
\vol 49
\issue 4
\pages 264--278
\crossref{https://doi.org/10.1007/s10688-015-0115-y}
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Linking options:
https://www.mathnet.ru/eng/faa3191
https://doi.org/10.4213/faa3191
https://www.mathnet.ru/eng/faa/v49/i4/p33
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V. A. Zolotarev, “Inverse spectral problem for the operators with non-local potential”, Math. Nachr., 292:3 (2019), 661–681
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