This article is cited in 2 papers

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

E. I. Bravyi

Chair of Higher Mathematics, Perm State Technical University, Perm, Russia

Abstract: 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, cyclic matrices.

UDC: 517.929

Received: 17.08.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:10, 13–22

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