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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2011 Issue 2, Pages 49–57 (Mi ivpnz567)

Mathematics

One approach to studying the stability of solutions to singularly perturbed systems of differential equations

M. V. Kozlov, V. N. Shchennikov

Mordovia State University named after N. P. Ogaryov, Saransk

Abstract: The authors suggest an approach to studying the stability of zero solution of singularly perturbed systems of differential equations. As it is in most studies on this topic, the starting point lies in investigating the corresponding degenerate system. The researchers have found sufficient conditions zero solution stability for all sufficiently small positive values.

Keywords: singularly perturbed system of differential equations, degenerate system, stability, stable variables.

UDC: 517.928.4



© Steklov Math. Inst. of RAS, 2024