On Periodic Boundary-Value Problems for Systems of Functional-Differential Equations
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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 phrasesfunctional-differential equation boundary-value problem exact solvability condition periodic boundary-value problem
AMS Subject Classification34K06 34K10 34K13
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