E. I. Bravyi, “On unimprovable conditions of the solvability of the periodic problem for second order functional differential equations”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, Issue 3,Pages <nobr>3

MATHEMATICS

On unimprovable conditions of the solvability of the periodic problem for second order functional differential equations

E. I. Bravyi

Department of Mathematics, Perm State National Research Polytechnical University, Komsomol'sky pr., 29, Perm, 614990, Russia

Abstract: Necessary and sufficient conditions for the unique solvability of the periodic boundary value problem for all linear second order functional differential equations with the given norm of the functional operators.

Keywords: linear equations with delay, periodic boundary value problem, periodic solutions, functional differential equations.

UDC: 517.917

MSC: 34K06, 34K10, 34K13

Received: 15.06.2013

DOI: 10.20537/vm130301