Abdyvali A. Continuous solutions of systems of difference equations with continuous argument and their properties.

The existence of continuous, continuous periodic solutions of nonlinear difference equations with continuous argument has been the main purpose to investigation in the thesis.Sufficient conditions for the existence and uniqueness of continuous N-periodic (N - a positive integer number) solutions for systems of nonlinear difference equations have been obtained, and a set of asymptotically periodic solutions has been constructed. Sufficient conditions for the existence and uniqueness of periodic solutions for systems of nonlinear difference equations containing a parameter and the method of constructing such solutions have been obtained and their behavior when $