Unique Determination of a System by a Part of the Monodromy Matrix

M. M. Malamud

Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 4, pp. 33-49.

Résumé

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.

Détail

Keywords: ODE systems, canonical systems, inverse problems for ODE systems.
Mots-clés : monodromy matrix

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