Solvability of a periodic boundary-value problem for systems of functional differential equations with cyclic matrices
type: Item
instance of: scholarly article
title: Solvability of a periodic boundary-value problem for systems of functional differential equations with cyclic matrices
zbMATH Open document ID: 1234.34042
DOI: 10.3103/S1066369X11100033
author: Juan-Miguel Gracia
published in: Russian Mathematics
publication date: 2011-11-21T00:00:00Z
review text: The author derives efficient conditions that are sufficient and necessary for the unique solvability of the periodic problem for two-dimensional systems of linear functional differential equations with operators having given norms. In other words, new efficient conditions are proved for the unique solvability of the problem considered in terms of the norm of linear operators on the right-hand side of the system, which are optimal and cannot be weakened.
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K06
zbMATH DE Number: 5975564
zbMATH Keywords: linear system of functional differential equations
zbMATH Keywords: periodic problem
zbMATH Keywords: solvability
reviewed by: Jiří Šremr
MaRDI profile type: Publication
cites work: Sur les solutions périodiques des équations différentielles ordinaires
cites work: Q5559772
cites work: Conditions for the existence and uniqueness of periodic solutions to nonautonomous differential equations
cites work: Periodic solutions of nonautonomous ordinary differential equations
cites work: Q3260725
cites work: Q5314735
cites work: On periodic-type solutions of systems of linear ordinary differential equations
cites work: On nonlinear boundary value problems for two-dimensional differential systems
cites work: On periodic solutions of two-dimensional nonautonomous differential systems
cites work: Criterion for unique solvability of a periodic boundary value problem for a functional-differential equation
cites work: Q4332247
cites work: Q3406670
cites work: On boundary value problems for systems of linear functional differential equations
cites work: On a periodic boundary value problem for cyclic feedback type linear functional differential systems
cites work: An optimal condition for the uniqueness of a periodic solution for linear functional differential systems
cites work: On a problem with nonlinear boundary conditions for systems of functional-differential equations
cites work: Q3515768
cites work: Q3514327
cites work: Q3637801
cites work: Q3996831
description: scientific article; zbMATH DE number 5975564