Journal of Mathematical Sciences

, Volume 230, Issue 5, pp 660–663 | Cite as

On Periodic Boundary-Value Problems for Systems of Functional-Differential Equations

  • E. I. Bravyi


We obtain necessary and sufficient conditions for the existence of a unique solution to a periodic boundary-value problem for all systems of first-order functional-differential equations from a given family of systems. Families of systems of functional-differential equations are detrmined by the norms of positive functional operators of equations of the system. The verification of necessary and sufficient conditions of the existence of a unique periodic solution for all systems from a given family consists of the verification of positivity of a finite number of a real-valued functions defined on a finite-dimensional set.

Keywords and phrases

functional-differential equation boundary-value problem exact solvability condition periodic boundary-value problem 

AMS Subject Classification

34K06 34K10 34K13 


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Perm National Research Polytechnic UniversityPermRussia

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