Periodic Boundary Value Problem For System Research Articles

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

We consider first-order systems of linear functional differential equations with regular operators. For families of systems of two equations we obtain the general necessary and sufficient conditions for the unique solvability of a periodic boundary-value problem. For families of systems of n linear functional differential equations with cyclic matrices we obtain effective necessary and sufficient conditions for the unique solvability of a periodic boundary-value problem.

On the Periodic Boundary-Value Problem for Systems of Second-Order Nonlinear Ordinary Differential Equations

The periodic boundary-value problem for systems of second-order ordinary nonlinear differential equations is considered. Sufficient conditions for the existence and uniqueness of a solution are established.

On the periodic boundary-value problem for systems of second-order nonlinear ordinary differential equations

The periodic boundary value problem for systems of secondorder ordinary nonlinear differential equations is considered. Sufficient conditions for the existence and uniqueness of a solution are established.