On conditions for exponential dichotomy of systems of linear differential equations with periodic coefficients Online publication date: Sat, 06-Feb-2016
by Gennadii V. Demidenko
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 6, No. 1, 2016
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.
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