Geodesic
Solvability of a~periodic boundary value problem for systems of functional differential equations with cyclic matrices
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2011), pp. 17-27

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We consider first-order systems of linear functional differential equations with regular operators. For collections of systems of two equations we obtain the general necessary and sufficient conditions for the unique solvability of a periodic boundary value problem. For collections of systems of $n$ equations with cyclic matrices we obtain effective necessary and sufficient conditions for the unique solvability of a periodic boundary value problem.
Keywords: periodic boundary value problem, linear functional differential equations, systems of functional differential equations, unique solvability
Mots-clés : cyclic matrices. 
@article{IVM_2011_10_a2,
     author = {E. I. Bravyi},
     title = {Solvability of a~periodic boundary value problem for systems of functional differential equations with cyclic matrices},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {17--27},
     publisher = {mathdoc},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_10_a2/}
}
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E. I. Bravyi. Solvability of a~periodic boundary value problem for systems of functional differential equations with cyclic matrices. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2011), pp. 17-27. http://geodesic.mathdoc.fr/item/IVM_2011_10_a2/