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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2010, Volume 12, Number 2, Pages 86–94 (Mi svmo85)

In Middle Volga Mathematical Society

About stability of the motions of system with infinite delay

S. V. Pavlikov

Ulyanovsk State University

Abstract: We study the stability of functional differential equations with infinite delay, using the Lyapunov functional of constant sign. Limit equations are constructed in a special phase space. Sufficient stability conditions of stationary movements mechanical systems of eredital are received.

Keywords: The is functional-differential equations with infinite delay, Lyapunov functional with a constant-sign derivative, the limiting equations.

UDC: 531.929



© Steklov Math. Inst. of RAS, 2025