THE PROGRAM OF WORK ON THE STABILITY ANALYSIS OF LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS WITH QUASIPERIODIC AND MULTIPERIODIC COEFFICIENTS BASED ON THE PONTRYAGIN METHOD

The paper introduces the concepts of quasi-periodic and multiperiodic functions. Floquet's theorem is formulated for a system of linear differential equations with periodic coefficients. The problem of finding sufficient conditions for stability and instability of a system of linear differential equations is described. The points of the program of work on the stability analysis of linear systems of differential equations with quasiperiodic and multiperiodic coefficients are given.