Title: On conditions for exponential dichotomy of systems of linear differential equations with periodic coefficients

Authors: Gennadii V. Demidenko

Addresses: Sobolev Institute of Mathematics, Acad. Koptyug avenue 4, Novosibirsk 630090, Russia; Novosibirsk State University, st. Pirogov 2, Novosibirsk 630090, Russia

Abstract: We establish new conditions for exponential dichotomy of systems of linear differential equations with periodic coefficients. The conditions are formulated in terms of solvability of a special boundary value problem for the Lyapunov differential equation. Estimates for the dichotomy parameters are obtained.

Keywords: exponential dichotomy; Lyapunov differential equations; multipliers; periodic coefficients; linear differential equations; boundary value problems.

DOI: 10.1504/IJDSDE.2016.074581

International Journal of Dynamical Systems and Differential Equations, 2016 Vol.6 No.1, pp.63 - 74

Received: 19 May 2015
Accepted: 26 Jul 2015

Published online: 05 Feb 2016 *

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