Solvability of a periodic boundary-value problem for a system of first-order ordinary differential equations
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 231-241

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Existence theorems are proved for an incomplete set of upper and lower functions.
@article{ZNSL_1998_248_a12,
     author = {M. N. Yakovlev},
     title = {Solvability of a periodic boundary-value problem for a system of first-order ordinary differential equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {231--241},
     publisher = {mathdoc},
     volume = {248},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a12/}
}
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M. N. Yakovlev. Solvability of a periodic boundary-value problem for a system of first-order ordinary differential equations. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 231-241. http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a12/