P. N. Nesterov, “Time scales and the asymptotics for the solutions of discrete adiabatic oscillators”, Model. Anal. Inform. Sist., 2011, Volume 18, Number 1,Pages <nobr>5

Time scales and the asymptotics for the solutions of discrete adiabatic oscillators

P. N. Nesterov

P. G. Demidov Yaroslavl State University

Abstract: We develop a method of averaging for the study of linear systems of dynamic equations on time scales. We use the obtained results to construct the asymptotics for the solutions of some equations of discrete adiabatic oscillators.

Keywords: discrete adiabatic oscillator; time scale; method of averaging; asymptotics.

UDC: 517.929

Received: 10.11.2010