A. Yu. Bogdanov, “On one approach to the study of the dynamics of non-autonomous discrete inclusions”, University proceedings. Volga region. Physical and mathematical sciences, 2009, Issue 3,Pages <nobr>50

Mathematics

On one approach to the study of the dynamics of non-autonomous discrete inclusions

A. Yu. Bogdanov

Ulyanovsk State University, Ulyanovsk

Abstract: New methods of asymptotic behavior investigation of the solutions of nonautonomous discrete inclusions are considered. The property of quasi-invariance of positive limit set of the solution relative to the family of limiting equations is established.

Keywords: nonautonomous discrete inclusion, limiting equation, positive limit set, quasi-invariance, asymptotic stability.

UDC: 517.929