ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

Stability of zero solution of periodic system of differential equations with small parameter

V. V. Abramov1

AnnotationBy properties of monodromy operator it is received sufficient conditions of boundedness of solution with small initial values if parameter is small. It was investigated the norm stability problem coordinated with choice admissible value of the perturbation.
KeywordsODE system, stability, operator of monodromy, norm of matrix.

1Associate Professor, Chair of Mathematics and Method of Teaching of mathematical Disciplines, Ryazan State University after S.A. Yesenin, Ryazan; v.abramov@rsu.edu.ru.

Citation: V. V. Abramov, "[Stability of zero solution of periodic system of differential equations with small parameter]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 49–54 (In Russian)