Solvability of a~periodic boundary value problem for systems of functional differential equations with cyclic matrices

E. I. Bravyi

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2011), pp. 17-27.

Résumé

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.

Détail

Keywords: periodic boundary value problem, linear functional differential equations, systems of functional differential equations, unique solvability
Mots-clés : cyclic matrices.

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