Partial averaging of discrete-time set-valued systems

Tatyana A. Komleva, Liliya I. Plotnikova, Andrej V. Plotnikov, Department of Mathematics, Odessa State Academy Civil Engineering and Architecture, Odessa, Ukraine, e-mail: t-komleva@ukr.net", "Department of Mathematics, Odessa National Polytechnic University, Odessa, Ukraine, e-mail: liplotnikova@ukr.net", "Department of Information Technology and Applied Mathematics, Odessa State Academy Civil Engineering and Architecture, Odessa, Ukraine, e-mail: a-plotnikov@ukr.net"
2018 Studia Universitatis Babes-Bolyai Matematica  
In the introduction of the article we given an overview of the results for set-valued equations. Further we considered the set-valued discrete-time dynamical systems and substantiates the averaging method for nonlinear set-valued discrete-time systems with a small parameter. (2010) : 49M25, 34C29, 49J53. Mathematics Subject Classification
doi:10.24193/subbmath.2018.4.09 fatcat:d2khzmx3mjakrkuvtsd5azryja