Geodesic
Unique Determination of a System by a Part of the Monodromy Matrix
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 4, pp. 33-49

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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 $W(\lambda)$. In the case $B = B^*$, the minimum number of matrix entries of $W(\lambda)$ sufficient to uniquely determine $Q$ is found.
Keywords: ODE systems, canonical systems, inverse problems for ODE systems.
Mots-clés : monodromy matrix 
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     author = {M. M. Malamud},
     title = {Unique {Determination} of a {System} by a {Part} of the {Monodromy} {Matrix}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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M. M. Malamud. Unique Determination of a System by a Part of the Monodromy Matrix. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 4, pp. 33-49. http://geodesic.mathdoc.fr/item/FAA_2015_49_4_a2/