Malkhaz Ashordia, Medea Chania, Malkhaz Kucia

On the Solvability of the Periodic Problem for Systems of Linear Generalized Ordinary Differential Equations

A periodic problem for systems of linear generalized differential equations is considered. The Green type theorem on the unique solvability of the problem and the representation of its solution are established. Effective necessary and sufficient conditions (of spectral type) for the unique solvability of the problem are also given.

Mathematics Subject Classification: 34K06, 34K10, 34K13

Key words and phrases: Nonlocal boundary value problem, periodic problem, linear systems, generalized ordinary differential equations, unique solvability, effective conditions