2014-№3(44) Article 13

N.M. Kudryashova

Conditions for stability of the zero solution of the periodic system. P. 139-148.

UDC 530.1

For systems of differential equations with periodic right part investigated the question of the stability of the zero solution with estimates of the norm of the operator of monodromy.

the system of differential equations, stability, operator of monodromy, norm of matrix

Bibliography:

1. Bibikov, Yu.N. Kurs obyknovennykh differentsial’nykh uravneniy [Text] [Course of ordinary differential equations]. – Мoscow: High School, 1991. – 303 p.
2. Zubov, V.I. Teoriya kolebaniy [Text] [Theory of vibrations] / V.I. Zubov. – Мoscow: High School, 1979. – 400 p.
3. Krasnosel’skiy, M.A. Operator sdviga po traektoriyam differentsial’nykh uravneniy [Text] [Translation operator of the differential equations]. – Мoscow: Science, 1966 – 332 p.
4. Horn, R.A. Matrichnyy analiz [Text] [Matrix analysis] / R.A. Horn, C.R. Johnson. – Мoscow: (Peace), 1989. – 655 p.