Sivak O. The research of the structure of the set of continuous solutions of the systems of difference equations with continuous argument.

The structure of the set of continuous solutions of the systems difference equations with linear deviations argument in the dissertation has been investigated. Sufficient conditions of the existence of continuous solutions for the systems of linear functional difference equations has been established, the one method of their construction has been suggested. The structure of the set of continuous solutions of the systems difference equations with constant and change deviations argument has been investigated. The theorem about the existence and uniqueness of continuous T-periodic solution has been investigated for the systems of linear functional difference equations with T-periodic coefficients. The existence of the global solution has been proved for the systems of nonlinear functional difference equations. The structure of the set of continuous solutions that to be in its neighborhood has been investigated.