Geodesic
On Recovering Differential Systems on a~Finite Interval from Spectra
Informatics and Automation, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 273-287

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Inverse spectral problems are studied for non-self-adjoint systems of ordinary differential equations on a finite interval. We establish properties of spectral characteristics and provide a procedure for constructing the solution of the inverse problem of recovering the coefficients of differential systems from given spectra. 
@article{TRSPY_2006_255_a20,
     author = {V. A. Yurko},
     title = {On {Recovering} {Differential} {Systems} on {a~Finite} {Interval} from {Spectra}},
     journal = {Informatics and Automation},
     pages = {273--287},
     publisher = {mathdoc},
     volume = {255},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2006_255_a20/}
}
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V. A. Yurko. On Recovering Differential Systems on a~Finite Interval from Spectra. Informatics and Automation, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 273-287. http://geodesic.mathdoc.fr/item/TRSPY_2006_255_a20/