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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
References:
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.
Document Type: Article
UDC: 517.928.4
Language: Russian
Citation: M. V. Kozlov, V. N. Shchennikov, “One approach to studying the stability of solutions to singularly perturbed systems of differential equations”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 2, 49–57
Citation in format AMSBIB
\Bibitem{KozShc11}
\by M.~V.~Kozlov, V.~N.~Shchennikov
\paper One approach to studying the stability of solutions to singularly perturbed systems of differential equations
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2011
\issue 2
\pages 49--57
\mathnet{http://mi.mathnet.ru/ivpnz567}
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