Geodesic
On solvability of a~spectral boundary value problem
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 174-182

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The problem mentioned in the title arises in the theory of $n$-widths of function classes defined by linear differential operators. The existence of spectral functions and spectral values is proved for the periodic boundary conditions. 
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     author = {S. I. Novikov},
     title = {On solvability of a~spectral boundary value problem},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {174--182},
     publisher = {mathdoc},
     volume = {5},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_1998_5_a12/}
}
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S. I. Novikov. On solvability of a~spectral boundary value problem. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 174-182. http://geodesic.mathdoc.fr/item/TIMM_1998_5_a12/