Sergey Shchogolev

On the Block Separation of the Linear Homogeneous Differential System with Oscillating Coefficients in the Resonance Case

abstract:
For the linear homogeneous differential system with oscillating coefficients the sufficient conditions of existence of linear transformation reducing this system to a block-diagonal form in a resonance case are obtained.

Mathematics Subject Classification: 34C20, 34C25

Key words and phrases: Linear systems of differential equations, periodic solutions, slowly varying parameters