Geodesic
An inverse spectral problem for singular non-self-adjoint differential systems
Sbornik. Mathematics, Tome 195 (2004) no. 12, pp. 1823-1854

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An inverse problem of spectral analysis is studied for non-self-adjoint systems of ordinary differential equations on a half-line. The formulation of this inverse problem is presented, a uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is put forward, and necessary and sufficient conditions for its solubility are provided. 
@article{SM_2004_195_12_a7,
     author = {V. A. Yurko},
     title = {An  inverse spectral problem for singular non-self-adjoint differential systems},
     journal = {Sbornik. Mathematics},
     pages = {1823--1854},
     publisher = {mathdoc},
     volume = {195},
     number = {12},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2004_195_12_a7/}
}
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V. A. Yurko. An  inverse spectral problem for singular non-self-adjoint differential systems. Sbornik. Mathematics, Tome 195 (2004) no. 12, pp. 1823-1854. http://geodesic.mathdoc.fr/item/SM_2004_195_12_a7/